wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

5 STATISTICS AND PROBABILITY

Total questions: 165

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

A point estimate of a population consists of how many numbers?

a)

1

b)

2

c)

10

d)

infinite

2.

Which statement is true?

A. Estimation is a procedure where a numerical value or values are assigned to the population parameter based on the information collected from a sample.


B. Estimation is a procedure where numerical value or values are assigned to the sample statistic based on the information collected from a sample.

a)

Statement A only

b)

Statement B only

c)

Statements A and B

d)

Neither A nor B

3.

What is a point estimate?

a)

average of sample values

b)

average of population values

c)

a single value that represents the unknown sample statistic

d)

a single value that represents the unknown population parameter

4.

It refers to a range of values that contains the parameter value

a)

confidence limit

b)

confidence interval

c)

confidence coefficient

d)

confidence level

5.

A property of a point estimator that occurs whenever a large sample sizes tend to provide point estimates closer to the population parameter

a)

efficiency

b)

unbiased

c)

consistency

d)

relative estimation

6.

A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the population standard deviation of the contents is 0.22 ounces. In this problem, the 4 ounces is?

a)

A parameter

b)

A statistic

c)

The standard error of the mean

d)

The average content of colognes in the long run

7.

When a 99% confidence interval is calculated instead of a 95% confidence interval with n being the same, the maximum error of estimate will be?

a)

smaller

b)

larger

c)

the same

d)

not be determined

8.

Given the information that  n=60n=60    σ=0.25\sigma=0.25 , and  xbar = 25xbar\ =\ 25  , find the 95% confidence interval of the population mean

a)

64.94 to 65.06

b)

64.92 to 65.08

c)

24.94 to 25.06

d)

24.92 to 25.08

9.

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20.


What is the best point estimate of the true average score in this standardized mathematics test?

a)

20

b)

78

c)

95

d)

100

10.

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20.


Find the 95% confidence interval estimate for the true average score in mathematics in this standardized test.

a)

1.96 to 3.92

b)

76 to 80

c)

74.08 to 81.92

d)

74.80 to 81.29

11.

Which of the following DOES NOT belong to the group?

a)

μ\mu

b)

x‾\overline{x}

c)

ss

d)

s2s^2

12.

Which is the basis for estimating a parameter value?

a)

sample statistics

b)

sample parameter

c)

population statistics

d)

population parameter

13.

It is an estimate of a parameter which uses a specific numerical value.

a)

interval estimate

b)

exact estimate

c)

point estimate

d)

mean estimate

14.

Which of the following illustrates interval estimate?

a)

more than 12 hours

b)

exactly 12.8 hours

c)

about 8 to 12 hours

d)

less than 8 hours

15.

In a survey conducted by a researcher in economics, 5 groups of residents of Masagana City were asked about their expenses in a day. The mean expenses in pesos for each group are as follows: 588, 632, 575, 740, and 610.


What is the point estimate of the population mean?

a)

P786.25

b)

P629

c)

P524.16

d)

P449.28

16.

In a survey conducted by a researcher in economics, 5 groups of residents of Masagana City were asked about their expenses in a day. The mean expenses in pesos for each group are as follows: 588, 632, 575, 740, and 610.


What is the point estimate of the population standard deviation?

a)

P3,457.60

b)

P4,322.00

c)

P58.80

d)

P65.74

17.

It is the probability that the interval estimate contains the parameter.

a)

confidence level

b)

confidence coefficient

c)

confidence interval

d)

confidence mean

18.

What are the critical values for a 90% confidence level?

a)

±1.32

b)

±1.65

c)

±1.96

d)

±2.58

19.

What will happen to the confidence coefficient if the confidence level decreases?

a)

increase

b)

decrease

c)

nothing

d)

cannot be determined

20.

What is the confidence level if the confidence coefficient is ?

a)

90%

b)

95%

c)

98%

d)

99%

21.

The mean heights of selected 80 male students in Matalino University is 1.65 meters with a standard deviation of 0.12 meters.


Which of the given confidence coefficient should be used if you want to be 99% confidence in your estimation?

a)

±1.32

b)

±1.65

c)

±1.96

d)

±2.58

22.

The mean heights of selected 80 male students in Matalino University is 1.65 meters with a standard deviation of 0.12 meters.


With 99% confidence interval, what is the margin of error?

a)

0.034

b)

0.026

c)

0.022

d)

0.017

23.

The mean heights of selected 80 male students in Matalino University is 1.65 meters with a standard deviation of 0.12 meters.


What is the 99% confidence interval for the population mean?

a)

1.616<μ<1.6841.616<\mu<1.684

b)

1.624<μ<1.6761.624<\mu<1.676

c)

1.628<μ<1.6721.628<\mu<1.672

d)

1.633<μ<1.6771.633<\mu<1.677

24.

Which distribution is used in estimating parameters when the population standard deviation is unknown and the sample size is less than 30?

a)

e-distribution

b)

f-distribution

c)

t-distribution

d)

z-distribution

25.

Which of the given statements DOES NOT describe a t-distribution?

a)

The variance is greater than 1.

b)

The curve touches the -axis or the baseline.

c)

It is a family of curves based on degrees of freedom.

d)

As the sample size increases, the distribution approaches the normal distribution.

26.

Using the t-table, what is the confidence coefficient ta2t_{\frac{a}{2}} for a sample size of 28 at 90% confidence level? 

a)

2.052

b)

2.048

c)

1.703

d)

1.701

27.

For a sample of 25 households in Mabilis City, the mean internet speed is 73.8 Mbps with a standard deviation of 5.2 Mbps.


What is the degree of freedom?

a)

26

b)

25

c)

24

d)

23

28.

For a sample of 25 households in Mabilis City, the mean internet speed is 73.8 Mbps with a standard deviation of 5.2 Mbps.

What is the confidence coefficient ta2t_{\frac{a}{2}}  at 95% confidence level?

a)

1.708

b)

1.711

c)

2.060

d)

2.064

29.

For a sample of 25 households in Mabilis City, the mean internet speed is 73.8 Mbps with a standard deviation of 5.2 Mbps.


What is the 95% confidence interval of the true mean of the internet speed in Mabilis City?

a)

71.66<μ<75.9471.66<\mu<75.94

b)

71.65<μ<75.9571.65<\mu<75.95

c)

71.64<μ<75.9771.64<\mu<75.97

d)

71.63<μ<75.9871.63<\mu<75.98

30.

Given that E=0.24, σ=1.5,E=0.24,\ \sigma=1.5,  and  cl=90%.cl=90\%.   What is the minimum sample size?

a)

106

b)

107

c)

150

d)

151

31.

Parameters are

a)

numerical characteristics of a sample.

b)

numerical characteristics of a population.

c)

the averages taken from a sample.

d)

numerical characteristics of either a sample or a population.

32.

Sampling distribution ΣXi/n is

a)

probability distribution of the sample average

b)

probability distribution of the sample proportion.

c)

mean of the sample.

d)

mean of the population

33.

A simple random sample of 100 observations was taken from a large population. The sample average and the sample standard deviation were determined to be 80 and 12 respectively. The standard deviation of the sample average is

a)

1.20

b)

0.12

c)

8

d)

0.8

34.

A simple random sample of 144 observations was taken from a large population. The sample average and the sample standard deviation were determined to be 1234 and 120 respectively. The standard deviation of the sample average is

a)

1234±120

b)

120

c)

1440

d)

10

35.

The following data was collected from a simple random sample of a population.

13 15 14 16 12

The mean of the population

a)

is 14.

b)

is 15.

c)

is 15.1581

d)

could be any value.

36.

In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. The probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50 is

a)

0.4664

b)

0.9328

c)

0.0336

d)

0.0672

37.

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample average for this situation?

a)

Approximately normal because the sample size is small relative to the population size

b)

Approximately normal because of the central limit theorem

c)

Exactly normal

d)

None of these alternatives is correct

38.

The following data was collected from a simple random sample of a population.

13 15 14 16 12

The point estimate of the population standard deviation is

a)

2.5

b)

1.581

c)

2.

d)

1.414

39.

A population has a standard deviation of 50. A random sample of 100 items from this population is selected. The sample mean is determined to be 600. At 95% confidence, the margin of error is

a)

8.225

b)

8.3

c)

9.8

d)

9.92

40.

The t value for a 95% confidence interval estimation with 24 degrees of freedom is

a)

1.711

b)

2.064

c)

2.492

d)

2.069

41.

A sample of 75 information systems managers had an average hourly income of $40.75 with a standard deviation of $7.00. The value of the margin of error at 95% confidence is

a)

80.83

b)

7.0

c)

0.81

d)

1.58

42.

A claim or a conjecture that may either be true or false is referred to as ____________.

a)

Hypothesis

b)

Proportion

c)

Inference

d)

Conclusion

43.

Which of the following would be an appropriate null hypothesis?

a)

The sample mean is equal to 11.

b)

The population mean is equal to 11.

c)

The population mean is not equal to 11.

d)

The sample mean is not equal to 11.

44.

3. Which of the following would be an appropriate alternative hypothesis?

a)

The population mean is equal to 11.

b)

The sample mean is equal to 11.

c)

The sample mean is greater than 11.

d)

The population mean is greater than 11.

45.

Which of the following would be an appropriate null hypothesis?

a)

A. The sample proportion is equal to 43%.

b)

B. The sample proportion is not equal to 43%.

c)

C. The population proportion is equal to 43%.

d)

D. The population proportion is not equal to 43%.

46.

A significance level of 0.05 corresponds to what critical value(s) of the z-statistic in a non-directional test?

a)

±1.645

b)

±1.96

c)

±2.326

d)

±2.576

47.

The power of the statistical test, or the probability of a correct decision when the null hypothesis is false, is given by ____________.

a)

1-α

b)

1-ß

c)

1-σ

d)

1-µ

48.

What is the probability of an incorrect decision when the null hypothesis is true?

a)

A. µ

b)

B. σ

c)

C. ß

d)

D. α

49.

Which of the following is a procedure based on a random sample of observations with a given level of probability of committing an error in making the decision, whether the hypothesis is true or false?

a)

Test of hypothesis

b)

Random sampling

c)

Survey of respondents

d)

Practical research

50.

The statement “There is no significant difference between the average height of the High School learners at Pangasinan National High School and 1.65 meters.” is an example of ____________.

a)

type I error

b)

type II error

c)

null hypothesis

d)

alternative hypothesis

51.

A point estimate of a population consists of how many numbers?

a)

1

b)

2

c)

10

d)

infinite

52.

Which statement is true?

A. Estimation is a procedure where a numerical value or values are assigned to the population parameter based on the information collected from a sample.


B. Estimation is a procedure where numerical value or values are assigned to the sample statistic based on the information collected from a sample.

a)

Statement A only

b)

Statement B only

c)

Statements A and B

d)

Neither A nor B

53.

What is a point estimate?

a)

average of sample values

b)

average of population values

c)

a single value that represents the unknown sample statistic

d)

a single value that represents the unknown population parameter

54.

It refers to a range of values that contains the parameter value

a)

confidence limit

b)

confidence interval

c)

confidence coefficient

d)

confidence level

55.

A property of a point estimator that occurs whenever a large sample sizes tend to provide point estimates closer to the population parameter

a)

efficiency

b)

unbiased

c)

consistency

d)

relative estimation

56.

A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the population standard deviation of the contents is 0.22 ounces. In this problem, the 4 ounces is?

a)

A parameter

b)

A statistic

c)

The standard error of the mean

d)

The average content of colognes in the long run

57.

When a 99% confidence interval is calculated instead of a 95% confidence interval with n being the same, the maximum error of estimate will be?

a)

smaller

b)

larger

c)

the same

d)

not be determined

58.

Given the information that  n=60n=60    σ=0.25\sigma=0.25 , and  xbar = 25xbar\ =\ 25  , find the 95% confidence interval of the population mean

a)

64.94 to 65.06

b)

64.92 to 65.08

c)

24.94 to 25.06

d)

24.92 to 25.08

59.

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20.


What is the best point estimate of the true average score in this standardized mathematics test?

a)

20

b)

78

c)

95

d)

100

60.

The scores of a random sample of 100 high school students on a standardized mathematics test in school A gave a mean of 78 and a standard deviation of 20.


Find the 95% confidence interval estimate for the true average score in mathematics in this standardized test.

a)

1.96 to 3.92

b)

76 to 80

c)

74.08 to 81.92

d)

74.80 to 81.29

61.

Suppose

n1=12, n2=32, n_1=12,\ n_2=32,\  which of the following answers is CORRECT for a 95% confidence interval for  μ1−μ2\mu_1-\mu_2  ?

a)

(x‾1−x‾2)±t0.025, v ...\left(\overline{x}_1-\overline{x}_2\right)\pm t_{0.025,\ v\ }\sqrt{...}  

b)

(x‾1−x‾2)±z0.025 ...\left(\overline{x}_1-\overline{x}_2\right)\pm z_{0.025\ }\sqrt{...}  

c)

(x‾1−x‾2)±t0.025, v ×sp...\left(\overline{x}_1-\overline{x}_2\right)\pm t_{0.025,\ v\ }\times s_p\sqrt{...}  

62.

It is a numerical quantity that is assigned to the outcome of an experiment.

a)

Statistics

b)

Probability

c)

Random Variable

d)

Distribution

63.

It is the set of all possible outcomes in an experiment.

a)

Random Variable

b)

Sample Space

c)

Mean

d)

Data

64.

Two coins are tossed in an experiment. Which of the following list is the sample space?

a)

S= {HH, HT, TH, TT}

b)

S= {HH, TT}

c)

S= { HT, TH, TT}

d)

S= {HH, HT, TT}

65.

Supposed two coins are tossed consecutively and we are interested in the number of heads that will come out. Determine the values of the random variable H (number of heads).

a)

0,2,3,4

b)

0,1,2,3

c)

0,1,2

d)

0,1,2,3,4

66.

Nico label an x- axis with points earned and the corresponding y - axis with the number of players. He plot one against the other and he obtain a bar graph called a what?

(a)  

67.

If you had no idea what the answer to this four option multiple choice was and took a wild guess, what is the probability that you are correct?

(a)  

68.

Which of the following are the properties of a Normal Probability Distribution.

a)

The distribution curve is bell - shaped.

b)

The curve is symmetric about its center, the mean.

c)

The mean, the median, and the mode coincide at the center.

d)

The area under the curve is 1 or 100%

e)

The tails of the curve is asymptotic to the base line.

69.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

a)

TRUE

b)

FALSE

70.

TRUE or FALSE: The area between 0 and a positive value z is the same as the area between 0 and -z.

a)

TRUE

b)

FALSE

71.

TRUE or FALSE: The area that corresponds to z = 2.58 is the same as the area that corresponds to z = -2.58, which is A = 0.4951

a)

TRUE

b)

FALSE

72.

Find the area that corresponds to z = -1.15

(a)  

73.

What is the probability that the value of a standard normal random variable z lies between 0 and 1.28?

(a)  

74.

It is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment.

(a)  

75.

It is a variable whose value is determined by the outcome of a random experiment.

(a)  

76.

It is a random variable whose set of assumed values that is countable.

(a)  

77.

A random variable whose set of assumed values that is uncountable, usually arises from measurement.

(a)  

78.

It is a number which describes the spread of the distribution.

(a)  

79.

The following table represents the probability distribution X, the employment status of adults in a city.

What is the probability that the adults isn't retired?

(a)  

80.

If you select one adult at a random from this community, what is the probability that the adults is employed as part -time?

(a)  

81.

If you select one adult at a random from this community, what is the probability that the adults is working either part - time or full - time? 

(a)  

82.
The average annual salary for 35 of a company's 1200 accountants is $68,000.
a)
parameter
b)
statistic
83.
In a survey of a sample of high school students, 43% said that their mother has taught them the most about managing money.
a)
parameter
b)
statistic
84.
Sixty-two of the 97 passengers aboard the Hindenburg airship survived its explosion.
a)
parameter
b)
statistic
85.
In a survey of a sample of computer users, 8% said their computer had a malfunction that needed to be repaired by a service technician.
a)
parameter
b)
statistic
86.
In a recent year, the interest category for 12% of all new magazines was sports.
a)
parameter
b)
statistic
87.
In a recent survey of 1503 adults in the United States, 53% said they use both a landline and a cell phone,
a)
parameter
b)
statistic
88.
In  a recent year, the average math scores for all graduates on the ACT was 21.1.
a)
parameter
b)
statistic
89.
A school principal wants to see which subject the 845 students in his school liked best.
Which choice best represents a parameter?
a)
700 of the 845 students prefer math.
b)
100 of the 120 students surveyed prefer math.
c)
845 students
d)
120 students surveyed
90.
A musician wanted to see what people who bought his last album thought about the songs.
Which choice best represents a parameter?
a)
The percentage of all people who bought his last album that thought the songs were good.
b)
50 people who bought the musician's last album
c)
85% of the 50 people surveyed thought the songs were good.
d)
All 
91.
A mayor wanted to see if the people in his town thought he was doing a good job.
Which choice best represents a statistic?
a)
The percentage of all townspeople who believe the mayor is doing a good job.
b)
The percentage of townspeople surveyed who believe the mayor is doing a good job.
c)
All townspeople.
d)
A random selection of 100 townspeople.
92.

What is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable?

a)

Decision

b)

Probability

c)

Statistics

d)

Hypothesis

93.

What is the statistical method used in making decisions using experimental data?

a)

Simple analysis

b)

Hypothesis testing

c)

Analytical testing

d)

Experimental testing

94.

What level which describes the probability of committing an incorrect decision about the null hypothesis?

a)

A. Level of error

b)

Level of acceptance

c)

Level of hypothesis

d)

Level of significance

95.

Which of the following describes an alternative hypothesis using two-tailed test?

a)

𝐻𝑎 = 100

b)

𝐻𝑎 > 100

c)

𝐻𝑎 ≠ 100

d)

𝐻𝑎 < 100

96.

In a one-tailed test, in which critical value listed below will the computed z of 2.313 fall in the acceptance region?

a)

1.383

b)

1.533

c)

2.228

d)

2.365

97.

Which of the following would be an appropriate null hypothesis?

a)

The mean of a sample is equal to 75

b)

The mean of a population is equal to 75

c)

The mean of a sample is not equal to 75

d)

The mean of a population is greater than 75

98.

Which of the following must be used as the significance level if we want a lower possibility of correct decision?

a)

1 %

b)

2 %

c)

5 %

d)

10 %

99.

Which of the following would be an appropriate alternative hypothesis for one-tailed test?

a)

𝐻𝑎: 𝜇 = 85

b)

𝐻𝑎: 𝜇 ≥ 85

c)

𝐻𝑎: 𝜇 ≥ 85

d)

𝐻𝑎: 𝜇 < 85

100.

When is a Type I error committed?

a)

We reject a null hypothesis that is true

b)

We reject a null hypothesis that is false

c)

We fail to reject a null hypothesis that is true

d)

We fail to reject a null hypothesis that is false

101.

Which of the following steps is not included in formulating hypothesis?

a)

Identify the claim to be tested

b)

Translate the claim into mathematical symbols / notations

c)

Use the data about sample then compute the test statistic

d)

Formulate first the null hypothesis and then the alternative hypothesis

102.

The sign of the alternative hypothesis in a left-tailed test is always ________.

a)

Equal

b)

Less Than

c)

Greater Than

d)

Not Equal

103.

The null hypothesis is rejected. What does it mean?

a)

The null hypothesis is incorrect

b)

The alternative hypothesis is true

c)

There is enough evidence against the null hypothesis

d)

There is a very small probability that the null hypothesis is true

104.

If the t-computed value is 2.430 and the critical value is 2.011, what will be the decision?

a)

Reject the null hypothesis

b)

Support the null hypothesis

c)

Reject the alternative hypothesis

d)

Do not reject the null hypothesis

105.

Which of the following is the correct symbol for hypothesized proportion?

a)

po

b)

p

c)

Ho

d)

Hp

106.

Before the opening of classes, parents were asked to answer a survey. Those in favor of alternative learning mode were 1,900 out of 5,000 randomly selected parents. Using α = 0.10 level, is there enough evidence to conclude that the percentage of parents who are in favor of alternative learning mode is less than 50%? What is the appropriate alternative hypothesis?

a)

Ha : p > 0.50

b)

Ha : p < 0.50

c)

Ha : p = 0.50

d)

Ha : p ≠ 0.50

107.

“A nutritionist advised his patient that the more protein he consumes, the more weight he will gain.” What are the variables presented on the given statement?

a)

weight and height

b)

weight and calorie intake

c)

protein consumption and weight

d)

protein consumption and visceral fat gain

108.

From an experiment conducted by a group of researchers, they found out that students who perform good in Mathematics also perform good in English based on the results of their test scores. What are the variables involved in the study?

a)

tests in Mathematics and English

b)

insufficient information to determine

c)

scores in Mathematics and English tests

d)

questions on the tests in Mathematics and English

109.

In formulating the alternative hypothesis, what mathematical symbol is applicable to use in the statement,

“The average score of Grade 11 (HUMSS) in Business Statistics is 83?"

a)

>

b)

<

c)

=

d)

≠

110.

A computer store surveys its clients who purchased laptop computers to ask what software the store should include in its computers. Identify the population.

a)

Clients in the store

b)

Computer manufacturers

c)

Clients who are interested in software

d)

Clients who purchased laptop computers

111.

Which of the following statements is true about alternative hypothesis on a population proportion?

a)

It is represented by Ha

b)

It is used as a basis to determine the location of the extreme values

c)

It is the competing claim that the parameter is equal to a specific value

d)

It is a claim that the proportion is equal to the hypothesized proportion

112.

1. In a sample survey, what is the primary purpose of random sampling?

a)

To ensure that all members of the population have an equal chance of being selected

b)

To ensure that the sample accurately reflects the characteristics of the population

c)

To reduce the amount of time and effort required to collect the data

d)

To make the results of the survey more precise and accurate

113.

2. What is the standard deviation of a set of numbers?

a)

The average of the numbers

b)

The average of the absolute values of the numbers

c)

A measure of how spread out the numbers are

d)

The sum of the numbers

114.

3. What is the expected value of a random variable?

a)

The average value of the variable over a large number of observations

b)

The most likely value of the variable

c)

The value of the variable that has the highest probability of occurring

d)

The sum of all possible values of the variable

115.

4. In a normal distribution, what is the probability that a randomly selected observation will fall within one standard deviation of the mean?

a)

Approximately 68%

b)

Approximately 95%

c)

Approximately 99.7%

d)

Approximately 50%

116.

5. Which of the following is an example of a continuous probability distribution?

a)

The number of heads flipped in 10 coin tosses

b)

The number of cars passing by a certain intersection in an hour

c)

The number of people in a room who are taller than 6 feet

d)

The number of dogs in a neighborhood

117.

6. What is the difference between a sample and a population in statistics?

a)

A sample is a subset of a population

b)

A population is a subset of a sample

c)

A population is a larger group than a sample

d)

A sample is a larger group than a population

118.

7. Which of the following is an example of a continuous probability distribution?

a)

The number of heads when flipping a coin three times

b)

The number of students in a classroom

c)

The height of individuals in a population

d)

The number of red cars in a parking lot

119.

8. What is the expected value in a probability distribution?

a)

The most likely outcome

b)

The mean of the distribution

c)

The mode of the distribution

d)

The median of the distribution

120.

9. What is a conditional probability?

a)

The probability of an event given that another event has occurred

b)

The probability of two events occurring at the same time

c)

The probability of an event occurring within a given time frame

d)

The probability of an event occurring in a certain location

121.

10. What is the main difference between statistics and probability?

a)

Statistics is the study of collecting, analyzing, and interpreting data, while probability is the likelihood of an event occurring.

b)

Statistics is the study of random phenomena, while probability is the study of structured, organized data.

c)

Statistics is the study of systematic data, while probability is the study of subjective data.

d)

Statistics is the study of large data sets, while probability is the study of small data sets.

122.

11. Which of the following is NOT a way to measure the spread of a set of data?

a)

Range

b)

Standard deviation

c)

Variance

d)

Average

123.

12. What is the probability of flipping a coin and getting tails?

a)

0

b)

0.5

c)

1

d)

It depends on the type of coin

124.

13. If a deck of cards contains 52 cards, what is the probability of drawing an ace of hearts?

a)

1/52

b)

1/13

c)

1/4

d)

1/2

125.

14. Which of the following is NOT a characteristic of a normal distribution?

a)

The data is symmetrical around the mean

b)

The data is skewed to the right

c)

The data has a bell-shaped curve

d)

The data has a uniform distribution

126.

15. If event A and event B are independent, what is the probability of both events occurring?

a)

The probability of event A multiplied by the probability of event B

b)

The probability of event A divided by the probability of event B

c)

The probability of event A added to the probability of event B

d)

The probability of event A subtracted from the probability of event B

127.

16. If event A and event B are mutually exclusive, what is the probability of either event occurring?

a)

The probability of event A multiplied by the probability of event B

b)

The probability of event A divided by the probability of event B

c)

The probability of event A added to the probability of event B

d)

The probability of event A subtracted from the probability of event B

128.

17. When two events are independent, what is the probability of them occurring together?

a)

1

b)

0

c)

The probability of one event occurring

d)

The product of the probabilities of each event occurring

129.

18. If two events are independent, what is the probability of both events occurring?

a)

The probability of one event occurring

b)

The probability of one event occurring multiplied by the probability of the other event occurring

c)

The probability of one event occurring divided by the probability of the other event occurring

d)

The probability of one event occurring added to the probability of the other event occurring

130.

19. What is the probability of rolling a number greater than 3 on a standard six-sided die?

a)

0.50

b)

0.33

c)

0.25

d)

0.67

131.

20. In a normal distribution with a mean of 100 and a standard deviation of 20, what is the probability of selecting a score greater than 120?

a)

0.13

b)

0.02

c)

0.84

d)

0.47

132.

21. A certain stock has a probability of 0.6 of increasing in value and a probability of 0.4 of decreasing in value. If the stock is currently valued at $100, what is the expected value of the stock after one time period?

a)

$60

b)

$80

c)

$100

d)

$120

133.

Is a statistical procedure used to test an alternative hypothesis against a null hypothesis.

a)

z-test

b)

z-test table

c)

significant differentiation

d)

z-statistics

134.

z-test can be used for?

a)

one-tailed test

b)

two-tailed test

c)

both one-tailed and two-tailed tests.

d)

none of the above

135.

It is a conjecture about the population parameter. This conjecture may or may not be true.

a)

Statistical Hypothesis

b)

Null Hypothesis

c)

Alternative Hypothesis

d)

Claim

136.

It shows that there is no difference between the two population means.

a)

Null Hypothesis

b)

Alternative Hypothesis

c)

Logical Hypothesis

d)

Complex Hypothesis

137.

It shows that there is a difference between the two population means.

a)

Null Hypothesis

b)

Alternative Hypothesis

c)

Logical Hypothesis

d)

Complex Hypothesis

138.

What is rejected when we accept the Null Hypothesis?

a)

None of these choices.

b)

Complex Hypothesis

c)

Logical Hypothesis

d)

Alternative Hypotehsis

139.

A method in which the critical area of a distribution is two-sided and tests whether a sample is greater than or less than a certain range of values.

a)

Two-tailed test

b)

One-tailed test

c)

One-sample z-test

d)

Two-Sample z-test.

140.

Is a statistical test in which the critical area of a distribution is one-sided so that it is either greater than or less than a certain value, but not both. If the sample being tested falls into the one-sided critical area, the alternative hypothesis will be accepted instead of the null hypothesis.

a)

One-tailed test

b)

Two-tailed test

c)

One-sample z-test

d)

Two-sample z-test

141.

When should we use z-test?

a)

When the sample size is lesser than 30.

b)

When the sample size is greater than 30.

c)

When the sample size is greater than or equal to 30.

d)

When the sample mean is lesser than or equal to 30.

142.

The weight of the average 6th grade boy is 89 lbs. The principal of the school feeds them steak for first semester to see if their weight changes. What are the null and alternate hypotheses?

a)

H0: μ = 89

H1: μ > 89

b)

 H0: μ = 89

 H1: μ < 89

c)

H0: μ = 89

H1: μ = 89

d)

H0: μ = 89

H1: μ ≠ 89

143.

Find the critical value(s) for a two-tailed test with α = 0.05

a)

z = -1.64

b)

z = ±0.06

c)

z = 1.64

d)

z = ±1.96

144.

If you wish to test the claim that the mean of the population is 100, the appropriate alternate hypothesis is

a)

μ>100

b)

x̄=100

c)

μ≠100

d)

μ=100

145.

The value of the coefficient of correlation r lies between:

a)

0 and 1

b)

-1 and 0

c)

-1 and +1

d)

-0.5 and +0.5

146.
What graph best shows correlation? 
a)
Bar Graph
b)
Histogram
c)
Ogive
d)
Scatterplot
147.

As x increases, y decreases.

a)

A) no correlation

b)

B) negative correlation

c)

C) correlation coefficient

d)

D) positive correlation

148.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

149.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

150.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

151.
What would the correlation be between math grades and the time it takes to run a mile ?
a)
Postive Correlation
b)
Negative Correlation
c)
No Correlation
d)
Cannot Be Determined
152.

Which of the following best describes this correlation?

a)

Positive, Strong

b)

Negative Strong

c)

Positive Weak

d)

Negative Weak

153.

Amount of Education and Amount of income

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

154.

Number of days absent from school vs. math average

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

155.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

156.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

157.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

158.
What is the best definition of the least squares regression line?
a)
The line that minimizes the squares of the horizontal distances between the data points and the line.
b)
The line that minimizes the squares of the vertical distances between the data points and the line.
c)
The line that minimizes the vertical distances between the data points and the line.
d)
The line that passes through the most number of data points.
159.
Which of the following statistics show how much variance there is between y–values and x–values?
a)
Coefficient of Determination
b)
Slope of the Regression Line
c)
Standard Deviation
d)
Variance
160.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

161.
A residual is
a)
the difference between the squares of predicted values in a LSRL and data points on a scatterplot
b)
the difference between the observed x–value and the predicted x–value.
c)
the difference between the predicted x–value and the observed x–value.
d)
the difference between the observed y–value and the predicted y–value.
162.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

163.
What is the correlation of the LSRL for the points (3, 4), and (5, 2)?
a)
–1
b)
0 
c)
1
d)
Neither 0, 1, –1
164.
A perfectly negative correlation 
a)
implies a coefficient of determination of –1.0. 
b)
means that there must be a slope of –1.0.
c)
says that for every one additional unit of the variable on the x–axis, the variable on the y–axismust move down one additional unit.
d)
means that the r–value is is exactly 1.0. 
165.

What is the chance that you will spin a 6 twice in a row?

a)

1/12

b)

1/3

c)

1/6

d)

1/9

Similar Resources on Wayground

SOAL CERDAS CERMAT MIPA

170 questions

SOAL CERDAS CERMAT MIPA

quiz

Worksheet

•

7th Grade - University

Algebra 1 EOC Review (Almost Everything!)

166 questions

Algebra 1 EOC Review (Almost Everything!)

quiz

Worksheet

•

9th Grade

Geometry Final Review Unit 3

160 questions

Geometry Final Review Unit 3

quiz

Worksheet

•

10th Grade

Math 1 - EOC Review (Mixed)

163 questions

Math 1 - EOC Review (Mixed)

quiz

Worksheet

•

9th - 12th Grade

Conic Sections Review

160 questions

Conic Sections Review

quiz

Worksheet

•

10th - 12th Grade

Algebra C and C Unit 2

163 questions

Algebra C and C Unit 2

quiz

Worksheet

•

11th Grade - University

Chapter 3 Review CPM Intergrated Math 1

161 questions

Chapter 3 Review CPM Intergrated Math 1

quiz

Worksheet

•

9th Grade

Algebra 1 Semester 1 Review

160 questions

Algebra 1 Semester 1 Review

quiz

Worksheet

•

12th Grade