wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Sampling Distribution 2nd Sem

Total questions: 95

Worksheet time: 4hrs 44mins

Name
Class
Date
1.

Which of the following best describes a sampling distribution of a statistic?

a)

It is the probability that the sample statistic equals the parameter of interest.

b)

It is the probability distribution of all the values that are contained in all possible samples of the same size.

c)

It is the distribution of all of the statistics calculated from all possible samples of the same size.

d)

It is the histogram of sample statistics from all possible samples of the same size.

e)

All answers are correct.

2.

A simple random sample of 50 adults were asked to reveal their gross annual incomes. The variance of this sample:

a)

is always smaller than the variance of the population.

b)

cannot be computed since the population size is not given.

c)

equals the variance of the population.

d)

is an estimate of the variance in the sampling distribution of the means of the gross annual incomes of all possible samples.

e)

is an estimate of the variance of the population but may differ from the variance of the population.

3.

A simple random sample of 100 high school seniors in a certain suburb reveals that 65% of them have at least part-time jobs in addition to school. If the expected value of this proportion is equal to the proportion of high school seniors who have at least part-time jobs for the entire suburb, then we say that the sample proportion is:

a)

a true value.

b)

an unbiased estimator of the population proportion.

c)

equal to the population proportion.

d)

an estimate whose variance equals the variance of data in the population.

e)

less than the population proportion since only 100 students were sampled.

4.

Suppose you roll a die 10 times and record the proportion of sixes. Suppose you then conduct a simulation of this experiment, first 100 times, then 1,000 times, and draw one histogram of the proportion of sixes found after 100 simulations and a second histogram of the proportions of sixes found after 1,000 simulations. Which of the following is true regarding the mean of the proportions of sixes from each simulation?

a)

The mean of the proportion of sixes for the 100 simulations will equal the mean of the proportion of sixes for the 1,000 simulations.

b)

The mean of the proportion of sixes for the 1,000 simulations will be a better estimator of the theoretical probability of rolling a six than the mean of the proportion of sixes for the 100 simulations.

c)

The mean of the proportion of sixes for the 100 simulations will be less than the mean of the proportion of sixes for the 1,000 simulations.

d)

The mean of the proportions of sixes for both simulations will not estimate the theoretical probability of rolling a six since they are finite samples from an infinite population.

e)

None of the answers is true.

5.

Suppose you roll a die 10 times and record the proportion of sixes. Suppose you then conduct a simulation of this experiment, first 100 times, then 1,000 times, and draw one histogram of the proportion of sixes found after 100 simulations and a second histogram of the proportions of sixes found after 1,000 simulations. Which of the following statements are true regarding the histograms of the results from the two simulations?


I. The histograms from both simulations will be skewed left since a fair die does not exist in nature.

II. The histograms from both simulations will be mound-shaped and symmetric.

III. The histogram from the experiment that has 1,000 simulations will tend to be more mound-shaped and symmetric than the histogram from the experiment that has 100 simulations.

a)

I only

b)

I and II

c)

II and III

d)

III only

e)

None of these statements is true.

6.

Two SRS of 50 undergraduates each from two universities are taken to determine the proportion of students who approve of the food service at their respective schools. The first university has an enrollment of 5,000 undergraduates while the second university has an enrollment of 35,000 undergraduates. Which of the following is the most accurate statement regarding theses samples?

a)

The variability of the sample from the larger university will be greater than the variability of the sample from the smaller university.

b)

The proportion of students who approve of the food service will be the same since the sample sizes are the same.

c)

The enrollment figures from the two universities are not relevant to whether the sample statistics obtained are unbiased estimates of the parameters of the two populations.

d)

If a university with 100,000 undergraduates conducted a SRS of 50 of its students, the results would be less accurate than either sample referenced above.

e)

None of these is an accurate statement.

7.

Which of the following is true regarding the variation of a sampling distribution of a sample proportion?

a)

Variation depends on population size as well as sample size.

b)

The variance of a sampling distribution of a sample proportion for all samples of size 1 is 0.

c)

As the size of the sample increases, the variation of the sampling distribution approaches the variation of the population.

d)

For a given sample size, the maximum variation in the sampling distribution of a sample proportion occurs when the sample proportion is .5.

e)

None of these is true.

8.

The conditions that np > 10 and n(1 - p) > 10 are imposed on a sampling distribution to protect against

a)

a sample that is not representative of the population.

b)

bias in the responses of the sample participants.

c)

skewness in the distribution.

d)

a very small population size.

e)

The conditions are not designed to protect against any of these conditions.

9.

Records at a large university indicated that 20% of all freshmen are placed on academic probation at the end of their first semester. A random sample of 100 of this year's freshmen indicated that 25% of them were placed on academic probation at the end of the first semester. the results of this sample:

a)

are surprising since it indicates the 5% more of these freshmen were placed on academic probation than was expected.

b)

are surprising since SAT scores have been increasing over the past few years.

c)

are not surprising since the standard deviation of the sampling distribution is 4%.

d)

are surprising since the standard deviation of the sampling distribution is 0.4%

e)

are biased since the increase of 5% could not happen without injecting bias into the sample.

10.

An investigato0.07ticipates that the proportion of red blossoms in his hybrid plants is 0.15. A random sample of 50 of his plants indicated that 22% of the blossoms were red. The standard deviation of the sampling distribution of the sample proportion is approximately:

a)

0.051

b)

0.059

c)

0.07

d)

0.116

e)

Cannot be determined.

11.

Which of the following is a true statement?

a)

The larger the sample, the larger the spread in the sampling distribution.

b)

Bias has to do with the spread of a sampling distribution.

c)

Provided that the population size is significantly greater than the sample size, the spread of the sampling distribution does not depend on the population size.

d)

Sample parameters are used to make inferences about population statistics.

e)

Statistics from smaller samples have less variability.

12.

Which of the following is an incorrect statement?

a)

The sampling distribution of x̄ has mean equal to the population mean μ even if the population is not normally distributed.

b)

The sampling distribution of x̄ has standard deviation σ / √n even if the population is not normally distributed.

c)

The sampling distribution of x̄ is normal if the population has a normal distribution.

d)

When n is large, the sampling distribution of x̄ is approximately normal even if the population is not normally distributed.

e)

The larger the value of the sample size n, the closer the standard deviation of the sampling distribution of x̄ is to the standard deviation of the population.

13.

In a school of 2500 students, the students in a AP Statistics class are planning a random survey of 100 students to estimate the proportion who would rather drop soccer than band during this time of severe budget cuts. Their teacher suggests instead to survey 200 students in order to

a)

reduce bias.

b)

reduce variability.

c)

increase bias.

d)

increase variability.

e)

make possible stratification between soccer and band.

14.

Which of the following is the best reason that the sample maximum is not used as an estimator for the population maximum?

a)

The sample maximum is biased.

b)

The sampling distribution of the sample maximum is not binomial.

c)

The sampling distribution of the sample maximum is not normal.

d)

The sampling distribution of the sample maximum has too large a standard deviation.

e)

The sample mean plus three sample standard deviations gives a much superior estimate for the population maximum.

15.

Thirty-four percent of Americans say that math is the most important subject in school. In a random sample of 400 Americans, what is the probability that between 30% and 35% will say that math is the most important subject?

a)

0.291

b)

0.337

c)

0.382

d)

0.618

e)

0.709

16.
What happens to the shape of a sampling distribution of sample means as n increases?
a)
It becomes narrower and bimodal.
b)
It becomes narrower and more normal.
c)
It becomes wider and skewed right. 
d)
It becomes wider and more normal. 
17.
State whether you would use the central limit theorem or the normal distribution:
The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams.
What is the probability that one egg selected at random from a hen house will weigh more than 68 grams?
a)
Central Limit Theorem
b)
Normal Distribution
18.
State whether you would use the central limit theorem or the normal distribution:
The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams.
What is the probability that the average weight of a dozen eggs selected at random will be more than 68 grams? 
a)
Central Limit Theorem
b)
Normal Distribution
19.

According to the Central Limit Theorem, For a sample to be large enough, the sample size should be ______.

a)

half of the population

b)

75% of the population size

c)

at least 30

d)

at most 100

20.

Samples of size 25 are drawn from a population of 500 individuals where the mean and standard deviation of a population are 400 and 40, respectively.

What is the mean, μx‾\mu_{\overline{x}} ,  of this sampling distribution?

a)

400

b)

40

c)

25

d)

8

e)

Cannot be determined

21.

Samples of size 25 are drawn from a population of 500 individuals  where the mean and standard deviation of a population are 400 and 40, respectively.

What is the standard error, σx‾\sigma_{\overline{x}} , of this sampling distribution?

a)

400

b)

40

c)

25

d)

8

e)

Cannot be determined

22.

Samples of size 25 are drawn from a population of 200 individuals where the mean and standard deviation of a population are 400 and 40, respectively.

What is the mean, μx‾\mu_{\overline{x}} ,  of this sampling distribution?

a)

400

b)

40

c)

25

d)

8

e)

Cannot be determined

23.

Samples of size 25 are drawn from a population of 200 individuals where the mean and standard deviation of a population are 400 and 40, respectively.

What is the standard error, σx‾\sigma_{\overline{x}} , of this sampling distribution?

a)

400

b)

40

c)

25

d)

8

e)

Cannot be determined

24.

A group of 625 students has a mean age of 15.8 years with a standard deviation of 1.6 years. The ages are normally distributed. What is the probability that a randomly selected student is older than 16.3 years old?

a)

0.864

b)

0..623

c)

0.377

d)

None of these

25.

A group of 625 students has a mean age of 15.8 years with a standard deviation of 1.6 years. The ages are normally distributed. What is the probability that the mean age of 40 randomly selected student is above 16.3 years old?

a)

0.976

b)

0.623

c)

0.377

d)

0.024

e)

Cannot be determined.

26.

A group of 625 students has a mean age of 15.8 years with a standard deviation of 1.6 years. The ages are normally distributed. What is the probability that the mean age of 40 randomly selected student is at most 16.3 years old?

a)

0.976

b)

0.623

c)

0.377

d)

0.024

e)

Cannot be determined.

27.

A group of 625 students has a mean age of 15.8 years with a standard deviation of 1.6 years. The ages are normally distributed. What is the probability that the mean age of 100 randomly selected student is more than 16.3 years old?

a)

0.0009

b)

0.9991

c)

0.377

d)

0.024

e)

Cannot be determined.

28.

A group of 625 students has a mean age of 15.8 years with a standard deviation of 1.6 years. The distribution of ages is skewed left. What is the probability that the mean age of 15 randomly selected student is more than 16.3 years old?

a)

0.113

b)

0.887

c)

0.377

d)

0.024

e)

Cannot be determined.

29.

A group of 625 students has a mean age of 15.8 years with a standard deviation of 1.6 years. The distribution of ages is skewed left. What is the probability that the mean age of 50 randomly selected student is more than 16.3 years old?

a)

0.014

b)

0.986

c)

0.377

d)

0.024

e)

Cannot be determined.

30.

2. It is the standard deviation symbol

a)

σ

b)

X

c)

N

d)

a\sqrt{a}

31.
These symbols represent the mean and standard deviation for which of the following distributions?
a)
The Population
b)
The Sample
c)
The Sampling Distribution
32.

The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour. If 100 vehicles are randomly selected as samples, what would be the mean of the resulting sampling distribution of sample means?

a)

63.5

b)

67

c)

70.5

d)

74

33.

The standard deviation of a sampling distribution is the same as the standard deviation as the population.

a)

True

b)

False

34.

If μ = 100\mu\ =\ 100  and  σ = 15\sigma\ =\ 15  and repeated samples of size 10 are taken, what are the mean and standard deviation of the sampling distribution?

a)

μx= 100\mu_x=\ 100  and  σx = 15\sigma_x\ =\ 15  

b)

nullnull  and  σ x = 1510\sigma_{\ x}\ =\ \frac{\sqrt{15}}{10}  

c)

nullnull  and  σx =1510\sigma_{x\ }=\frac{15}{\sqrt{10}}  

d)

μx = 1510\mu_{x\ }=\ \frac{15}{\sqrt{10}}  and  σx = 100\sigma_{x\ }=\ 100  

35.
What is the purpose of using a random method to get a sample?
a)
A.  Reduce bias.
b)
B.  Reduce variability.
c)
C.  Increase bias.
d)
D. Increase variability.
36.

The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?

a)

-1.05

b)

.146

c)

.020

d)

.853

37.

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. McLemore finds the mean of her 4th period class - a randomly selected sample of 39 students. What is the probability that the mean of her class is more than 6 miles?

a)

0.002

b)

0.070

c)

0.898

d)

1.27

38.
The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons.  What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?
a)
.0057
b)
.025
c)
.345
d)
.781
39.
Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?
a)
.430
b)
.148
c)
.281
d)
.087
40.

For the population of farm workers in New Zealand, suppose that weekly income has a distribution with a mean of µ = $500 and a standard deviation of σ = $160. A survey of 100 farm workers is taken, including information on their weekly income.

What is the probability that a randomly selected worker has an income of at most $530?

a)

0.0304

b)

0.9696

c)

0.4591

d)

0.318

e)

~0

41.
The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49
a)
μx-bar = 2.51, σx-bar = 0.06
b)
μx-bar = 0.358, σx-bar = 0.06
c)

μx-bar = 0.0251, σx-bar = 0.06

d)
μx-bar = 2.51, σx-bar = 0.857
42.

In one region of the country, the mean length of stay in hospitals is 5.5 days with standard deviation 2.6 days. Because many patients stay in the hospital for considerably more days, the distribution of length of stay is strongly skewed to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, x, recorded for each sample. Which of the following is the best description of the sampling distribution of x ?

a)

Strongly skewed to the right with mean 5.5 days and standard deviation 2.6 days

b)

Strongly skewed to the right with mean 5.5 days and standard deviation 0.26 day

c)

Strongly skewed to the right with mean 5.5 days and standard deviation 0.026 day

d)

Approximately normal with mean 5.5 days and standard deviation 2.6 days

e)

Approximately normal with mean 5.5 days and standard deviation 0.26 day

43.

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean?

a)

Approximately normal with mean $206,274 and standard deviation $3,788

b)

Approximately normal with mean $206,274 and standard deviation $37,881

c)

Approximately normal with mean $206,274 and standard deviation $520

d)

Strongly right-skewed with mean $206,274 and standard deviation $3,788

e)

Strongly right-skewed with mean $206,274 and standard deviation $37,881

44.

A recent study was conducted to investigate the duration of time required to complete a certain manual dexterity task. The reported mean was 10.2 seconds with a standard deviation of 16.0 seconds. Suppose the reported values are the true mean and standard deviation for the population of subjects in the study. If a random sample of 144 subjects is selected from the population, what is the approximate probability that the mean of the sample will be more than 11.0 seconds?

a)

0.1151

b)

0.2743

c)

0.7257

d)

0.8849

e)

Based on the values of the true mean and true standard deviation, it can be concluded that the population distribution is not normal and therefore the probability cannot be calculated.

45.

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.


The standard deviation of the sampling distribution for average taxi fare where the sample size is 25 is (a)   .

46.
Researches found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season.  What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?
a)
.236
b)
.429
c)
.571
d)
.614
47.

For the population of farm workers in New Zealand, suppose that weekly income has a distribution with a mean of µ = $500 and a standard deviation of σ = $160. A survey of 100 farm workers is taken, including information on their weekly income.

What is the probability that a randomly selected worker has an income of at most $530?

a)

0.0304

b)

0.9696

c)

0.4591

d)

0.318

e)

~0

48.

Identify the Sample:

A restaurant wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.

a)

20 customers

b)

All customers

c)

8 customers

d)

Dessert

49.

What happens to the shape of a sampling distribution of sample means as n increases?

a)

It becomes narrower (closer to the population's true mean) and bimodal.

b)

It becomes narrower (closer to the population's true mean) and more normal.

c)

It becomes wider (further from the population's true mean)and skewed right.

d)

It becomes wider (further to the population's true mean)and more normal.

50.

The mean of the sampling distribution is the same as the mean of the population.

a)

True

b)

False

51.

These symbols represent the mean and standard deviation for which of the following distributions?

a)

The Population

b)

The Sample

c)

The Sampling Distribution

52.

These symbols represent the mean and standard deviation for which of the following distributions?

a)

The Population

b)

The Sample

c)

The Sampling Distribution

53.
At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?
a)
 78% is a population and 72% is a sample.
b)
72% is a population and 78% is a sample
c)
78% is a parameter and 72% is a statistic
d)
72% is a parameter and 78% is a statistic
54.

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the standard deviation of the sampling distribution of the sample mean?

a)
200
b)
16
c)
25
d)
4
55.
The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting one data value less than 190?
a)
69%
b)
42%
c)
31%
d)
58%
56.
The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 25 data values with a mean less than 190?
a)
69%
b)
0.6%
c)
31%
d)
99%
57.

A biologist wants to estimate the difference between the mean body lengths of green and brown stinkbugs. A random sample of 20 green stinkbugs has a mean body length of 16.22 millimeters (mm) and a standard deviation of 1.34 mm. A random sample of 20 brown stinkbugs has a mean body length of 13.41 mm and a standard deviation of 0.73 mm. What is the standard error of the difference (green - brown) between the sample means?

a)
b)
c)
d)
e)
58.

Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?

a)

A sample of size 25 will produce more variability of the estimator than a sample of size 50.

b)

A sample of size 25 will produce less variability of the estimator than a sample of size 50.

c)

A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.

d)

A sample of size 25 will produce a more biased estimator than a sample of size 50.

e)

A sample of size 25 will produce a less biased estimator than a sample of size 50.

59.

According to government data, 22 percent of children in the United States under the age of 6 years live in households with incomes that are classified at a particular income level. A simple random sample of 300 children in the United States under the age of 6 years was selected for a study of learning in early childhood. If the government data are correct, which of the following best approximates the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level? (Note: z represents a standard normal random variable.)

a)
b)
c)
d)
e)
60.

Employees at a large company can earn monthly bonuses. The distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3. Let z represent the standard normal distribution. If x represents the mean number of monthly bonuses earned last year for a random sample of 40 employees, which of the following calculations will give the approximate probability that x is less than 2 ?

a)

b)

c)

d)

e)

61.

There were 5,317 previously owned homes sold in a western city in the year 2000. The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. If all possible simple random samples of size 100 are drawn from this population and the mean is computed for each of these samples, which of the following describes the sampling distribution of the sample mean?

a)

Approximately normal with mean $206,274 and standard deviation $3,788

b)

Approximately normal with mean $206,274 and standard deviation $37,881

c)

Approximately normal with mean $206,274 and standard deviation $520

d)

Strongly right-skewed with mean $206,274 and standard deviation $3,788

e)

Strongly right-skewed with mean $206,274 and standard deviation $37,881

62.

A recent study was conducted to investigate the duration of time required to complete a certain manual dexterity task. The reported mean was 10.2 seconds with a standard deviation of 16.0 seconds. Suppose the reported values are the true mean and standard deviation for the population of subjects in the study. If a random sample of 144 subjects is selected from the population, what is the approximate probability that the mean of the sample will be more than 11.0 seconds?

a)

0.1151

b)

0.2743

c)

0.7257

d)

0.8849

e)

Based on the values of the true mean and true standard deviation, it can be concluded that the population distribution is not normal and therefore the probability cannot be calculated.

63.

The histogram below represents data obtained after the census of an entire population was conducted. The sampling distribution of the sample mean based on samples of size 2 for the population was simulated, and a histogram of the results was produced. Which of the following histograms is most likely the histogram of that sampling distribution?

a)
b)
c)
d)
e)
64.

The normal curve shown represents the sampling distribution of a sample mean for sample size n = 25, selected at random from a population with standard deviation sd. Which of the following is the best estimate of the standard deviation of the population, sd ?75

a)

3

b)

6

c)

15

d)

30

e)

75

65.

The histograms show the results of three simulations of a sampling distribution of a sample mean. For each simulation, 1,500 samples of size n were selected from the same population and the sample mean was recorded. The value of n was different for each of the three simulations. Which of the following is the correct ordering of the graphs from least value of n to greatest value of n ?

a)

A, C, B

b)

B, A, C

c)

B, C, A

d)

C, A, B

e)

C, B, A

66.

A sampling distribution for proportions is guaranteed to be normal if ...

a)

n ≥ 30

b)

the population is normal

c)

either np or nq is ≥ 30

d)

np and nq are both ≥ 10

67.
The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
What is the mean of the sampling distribution of p-hat?
a)
0.4
b)
0.44
c)
0.56
d)
0.6
68.

What happens to the shape of a sampling distribution of sample means as n increases?

a)

It becomes narrower (closer to the population's true mean) and bimodal.

b)

It becomes narrower (closer to the population's true mean) and more normal.

c)

It becomes wider (further from the population's true mean)and skewed right.

d)

It becomes wider (further to the population's true mean)and more normal.

69.

30% of all dogs in a city are micro-chipped. In a sample of 500 dogs, what is the probability that less than 32% of dogs are micro-chipped?

a)

0.2586

b)

0.1587

c)

0.8354

d)

0.1398

e)

0

70.

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. A school district has 180 incoming kindergarten children.


Which of the following is true concerning the shape of the sampling distribution?

a)

The sampling distribution is normal because n > 30

b)

The sampling distribution is not normal because nq is < 30

c)

The sampling distribution is normal because 93% of 180 is > 10

d)

The sampling distribution is normal because np and nq are both > 10

71.

According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated.


Find the z-score associated with a sample of 180 children in which 162 have been vaccinated.

a)

-1.34

b)

1.34

c)

.0901

d)

.9099

72.

Select the correct description

a)

Average Percent

b)

Population Proportion

c)

Sample Proportion

d)

Percent Slope of a Distribution

73.

Which best describes the sampling distribution shown below.

a)

Unbiased Estimator

b)

Biased Estimator

74.

Which best describes the sampling distribution shown below.

a)

Unbiased Estimator

b)

Biased Estimator

75.

What does the dot above .05 represent?

a)

5% of the sample proportions had 1 instant winner out of 20.

b)

In a single sample of 20 game pieces, 1/20 (5%) were instant winners.

c)

There is a .05 chance of getting 1 instant winner in a sample of 20 pieces.

76.

Would it be unusual to get a sample proportion of .35 or higher? Explain

a)

Yes because only 10 of the sample proportions 0.35.

b)

No because 23/100 of the sample proportions were 35% or higher. 23% is not unusual

c)

Yes because we should get 25% every time.

77.

Would it be unusual to get a sample proportion of .60 or higher? Explain

a)

Yes because only 1 out the 100 sample proportions was 60%. 0.01 is unusual.

b)

Yes because if it is possible, it can't be unusual.

78.

A sampling distribution for means will be approximately normal if ...

a)

n ≥ 10

b)

np and nq are both ≥ 10

c)

n ≥ 30 OR the population is normal

d)

np ≥ 10 AND the population is normal

79.
If a sampling distribution of sample means has a sample size less than 30:
a)
the shape will be Normal
b)
the shape will be between the shape of the population and Normal
c)
the shape will not be Normal
d)
there is no way we can detrmine the shape
80.
A sample is taken of 200 people. The number of people who own a dog was 80.
What is the sample proportion?
a)
80
b)
0.8
c)
0.4
d)
35%
81.
A sample is taken of 200 people. The number of people who own a dog was 80.
What is the population proportion?
a)
80
b)
0.8
c)
0.4
d)
Unknown
82.

What does the 10% condition do

a)

Calculates Standard Deviation

b)

Checks if the observations in the sample(s) are independent

c)

Checks Normality

d)

Calculates Probabilities

83.

A statistic is an unbiased estimator of a parameter when

a)

in many samples, the values of the statistic are centered at the parameter

b)

in many samples, the values of the statistic are close to the parameter

c)

the statistic is calculated from a random sample.

d)

in a single sample, the value of the statistic is equal to the parameter

84.

The number of hours a light bulb burns before failing varies from bulb to bulb. The distribution of burnout times is strongly skewed to the right. The central limit theorem says that…

a)

as we look at more and more bulbs, their mean burnout time gets ever closer to the mean for all bulbs of this type.

b)

the mean burnout time for any number of bulbs has a distribution of the same shape (strongly skewed) as the distribution for individual bulbs.

c)

the mean burnout time for any number of bulbs has a distribution that is close to Normal.

d)

the mean burnout time for a large number of bulbs has a distribution of the same shape (strongly skewed) as the distribution for individual bulbs.

e)

the mean burnout time for a large number of bulbs has a distribution that is close to Normal.

85.

It is estimated that 55% of the senior class will go to prom this year. If you randomly choose 20 seniors and ask them if they are going to prom, could you use the Normal Approximation to predict these results?

a)

Yes, both np and nq are greater than 10

b)

No, np is less than ten

c)

No, nq is less than ten

d)

Yes, either np or nq are greater than 10

86.

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.


Which of the following is true of the shape of the sampling distribution?

a)

The sampling distribution is normal because n < 30

b)

The sampling distribution is not normal because n < 30

c)

The sampling distribution is normal even though n < 30 because the population is stated to be normal

d)

The sampling distribution is normal because both np and nq are > 10

87.

The standard deviation of a sampling distribution is the same as the standard deviation as the population.

a)

True

b)

False

88.

Name this symbol: σ\sigma

a)

Sample standard deviation

b)

Standard deviation of sampling distribution of sample means

c)

Population standard deviation

d)

Standard deviation of sampling distribution of sample proportion

89.

Name this symbol:

a)

Population proportion

b)

Proportion of sampling distribution of sample means

c)

Sample proportion

d)

Standard deviation of sampling distribution of sample proportion

e)

Mean of sampling distribution of sample proportion

90.

3 Sampling distributions were created with 3 different sample sizes of 10, 50, and 100. Which sampling distribution goes with which sample size?

a)

Curve 1: 10

Curve 2: 50

Curve 3: 100

b)

Curve 1: 50

Curve 2: 10

Curve 3: 100

c)

Curve 1: 100

Curve 2: 50

Curve 3: 10

d)

Curve 1: 10

Curve 2: 100

Curve 3: 50

91.

The sampling distribution of a statistic is shown which has a mean of 4.5. The population parameter is 4.5. Is the statistic an unbiased estimator?

a)

Yes because the mean of the sampling distribution is equal to the parameter

b)

Yes because sampling distribution is skewed right

c)

No because the sampling distribution is skewed right

d)

No because there is a lot of variability in the sampling distribution

92.

Which of the following conditions must be checked if doing a probability problem involving sampling distribution of sample proportions? Select ALL that apply.

a)

Is it a simple random sample from the population of interest?

b)

Is the distribution normal?

c)

Large counts condition (np and n(1-p) are both > 10)

d)

10% condition

93.

The mean of sampling distribution of sample proportions is given by what symbol?

a)

b)

c)

d)

e)

94.

A candy maker offers child- and adult size bags of jelly beans with different color mixes. The company claims that the child mix has 30% red jelly beans, while the adult mix contains 15% red jelly beans. Assume that the candy maker’s claim is true. Suppose we take a random sample of 50 jelly beans from the child mix and a separate random sample of 100 jelly beans from the adult mix. Let p̂1 and p̂2 be the sample proportions of red jelly beans from the child and adult mixes, respectively. Calculate the standard deviation of the sampling distribution for the difference in proportions.

a)

0.0740

b)

0.0648

c)

0.0357

d)

You can't calculate the standard deviation.

95.

A company produces candles. Machine 1 makes candles with a mean length of 15 cm and standard deviation of 0.15 cm. Machine 2 makes candels with a mean length of 20 cm and a standard deviation of 0.10 cm. A random sample of 49 candles is taken from the first machine and a random sample of 36 candles is taken from the second machine. Let x1‾ − x2‾\overline{x_1}\ -\ \overline{x_2} be the difference (Machine 1 - Machine 2) in the sample mean length of candles. Describe the shape, center and variability of the sampling distribution of x1‾ − x2‾\overline{x_1}\ -\ \overline{x_2}

a)

Shape: Unknown

Mean: -5 cm

SD: 0.05 cm

b)

Shape: Approx. Normal

Mean: -5 cm

SD: 0.05 cm

c)

Shape: Approx. Normal

Mean: -5 cm

SD: 0.18 cm

d)

Shape: Approx. Normal

Mean: -5 cm

SD: 0.03

Similar Resources on Wayground

College Algebra Bonanza

95 questions

College Algebra Bonanza

quiz

Worksheet

•

10th - 12th Grade

Systems of Equations

92 questions

Systems of Equations

quiz

Worksheet

•

9th - 12th Grade

Algebra 1A Midterm Review

95 questions

Algebra 1A Midterm Review

quiz

Worksheet

•

9th - 12th Grade

exponents

100 questions

exponents

quiz

Worksheet

•

9th - 12th Grade

Persamaan Linear Satu Variabel

100 questions

Persamaan Linear Satu Variabel

quiz

Worksheet

•

7th Grade - University

2023 EOC Practice

100 questions

2023 EOC Practice

quiz

Worksheet

•

9th - 12th Grade

Parallel lines cut by a transversal

97 questions

Parallel lines cut by a transversal

quiz

Worksheet

•

12th Grade

Chapter 10 TEST Review

90 questions

Chapter 10 TEST Review

quiz

Worksheet

•

9th - 12th Grade