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AP Statistics Spring Semester Review

Total questions: 70

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
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
2.
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. 
3.
These symbols represent the mean and standard deviation for which of the following distributions?
a)
The Population
b)
The Sample
c)
The Sampling Distribution
4.
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?
a)
200
b)
16
c)
25
d)
4
5.
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
6.
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 is decreased to 25.
a)
μx-bar = 2.51, σx-bar = 0.06
b)
μx-bar = 2.51, σx-bar = 0.084
c)
μx-bar = 0.52, σx-bar = 0.084
d)
μx-bar = 2.51, σx-bar = 0.42
7.
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 29 students. What is the probability that the mean of her class is more than 6 miles?
a)
P = 0.00
b)
P = 0.1020
c)
P = 0.8980
d)
P = 1.27
8.
If you are to find P (x̄ ≥ 10) that means
a)
the probability that the sample mean is less than 10
b)
the probability that the sample mean is no more than 10
c)
the probability that the sample mean is at least 10
d)
the probability that the sample mean is more than 10
9.

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 10% of 180 is > 10

d)

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

10.

According to a television commercial, 3 out of 4 dentists recommend Trident gum for patients who have dental work. A consumer magazine has surveyed 100 dentists to see if this claim is true.


Which is closest to the probability that between 70 and 74 percent of the dentists recommend Trident?

a)

.9238

b)

.2846

c)

-.2846

d)

.0762

11.

A researcher plans to use a random sample of families to estimate the mean monthly family income for a large population. The researcher is deciding between a 95% confidence level and a 99% confidence level. Compared to a 95% confidence interval, a 99% confidence interval will be…

a)

It would be narrower because it omits only 1% of the possible samples instead of 5%

b)

It would be wider because it has a higher confidence, which requires a larger margin of error.

c)

It would be narrower because it has a higher confidence, which requires a larger margin of error.

d)

It would be the same because the sample is the same.

e)

You can’t tell because the margin of error varies from sample to sample.

12.

The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: “The poll had a margin of error of plus or minus three percentage points at a 95% confidence level.” You can safely conclude that…

a)

95% of all Gallup Poll samples like this one give answers within ±3% of the true population value.

b)

The percent of the population who jog is certain to between 15% and 21%.

c)

95% of the population jog between 15% and 21% of the time.

d)

We can be 95% confident that the sample proportion is captured by the confidence interval.

e)

If Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.

13.

The weights (in pounds) of three adult males are 160, 215, and 195. The standard error of the mean of these three weights is…

a)

190

b)

27.84

c)

22.73

d)

16.07

e)

13.13

14.

A 90% confidence interval for p, the proportion of all high school students at a local high school who participate in after school activities was found to be (0.743, 0.896).


1. Which of the following would be true about a 95% confidence interval constructed using the same data?

I. The interval would be wider because the critical z* would be larger.

II. The interval would be narrower because the critical z* would be smaller.

III. The interval would be wider because the standard error would be larger.

a)

I only

b)

II only

c)

III only

d)

I and III only

e)

I and II only

15.

One reason for using a t distribution instead of standard Normal curve to find critical values when calculating a level C confidence interval for a population mean is that…

a)

Z can be used only for large samples.

b)

Z requires that you know the population standard deviation ơ.

c)

Z requires that you can regard your data as an SRS from the population.

d)

Z requires that the sample size is at most 10% of the population size.

e)

A z critical value will lead to a wider interval than t critical value.

16.

What conditions are NOT necessary for a 95% t interval with a sample size of 9 to be valid?

a)

The sample was selected randomly from the population of interest.

b)

The population standard deviation is not known.

c)

It is reasonable to assume that the population is approximately normal.

d)

n*p-hat > 10 and n(1 - p-hat) > 10

e)

All of the above are necessary conditions.

17.

Assuming that the data came from a random sample from the population of interest, what other conditions must be met in order for the z interval to be an appropriate way to estimate a population proportion?

I. n ≥ 30 or the population is approximately normal.

II. The population size is at least 10 times greater than the sample size.

III. The population standard deviation is known

a)

I and III

b)

III and IV

c)

II and IV

d)

I, II and III

e)

All of the above conditions must be met.

18.

In preparing to construct a one-sample t interval for a population mean, suppose we are not sure if the population distribution is Normal. In which of the following circumstances would we not be safe constructing the interval based on an SRS of size 24 of the population?

a)

A stemplot of the data is roughly bell-shaped.

b)

A histogram of the data shows slight skewness.

c)

A boxplot of the data has a large outlier.

d)

The sample standard deviation is large.

e)

A Normal probability plot of the data is fairly linear.

19.

A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to eighteen. To find this out, he poses the following question to his listeners: “Do you think that the drinking age should be reduced to eighteen in light of the fact that eighteen-year-olds are eligible for military service?” He asks listeners to phone in and vote “Yes” if they agree the drinking age should be lowered and “No” if not. Of the 100 people who phoned in, 70 answered “Yes”. Which of the following conditions for inference about a proportion using a confidence interval are violated?

I. The data are a random sample from the population of interest.

II. The population is at least 10 times as large as the sample.

III. n is so large that both n*p-hat & n(1 - p-hat) are at least 10.

a)

I only

b)

II only

c)

III only

d)

I and II only

e)

I, II and III

20.

Suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at a major university. The interval is to have a margin of error of $2. Based on last year’s book sales, we estimate that the standard deviation of the amount spent will be close to $30. The minimum sample size required is closest to…

a)

25

b)

30

c)

608

d)

609

e)

865

21.

A telephone poll of an SRS of 1234 adults found that 62% are generally satisfied with their lives. The announced margin of error for the poll was 3%. Does the margin of error account for the fact that some adults do not have telephones?

a)

Yes. The margin of error includes all sources of error in the poll.

b)

Yes. Taking an SRS eliminates any possible bias in estimating the population proportion.

c)

Yes. The margin of error includes undercoverage but not nonresponse.

d)

No. The margin of error includes nonresponse but not undercoverage.

e)

No. The margin of error only includes sampling variability.

22.

A Census Bureau report on the income of Americans says that with 90% confidence the median income of all U.S. households in a recent year was $57005 with a margin of error of ±$742. This means that…

a)

90% of all households had incomes in the range of $57005 ± $742.

b)

We can be sure that the median income for all households in the country lies in the interval $57005 ± $742

c)

90% of the households in the sample interviewed by the Census Bureau had incomes in the interval $57005 ± $742.

d)

The Census Bureau got the result $57005 ± $742 using a method that will capture the true median income 90% of the time when used repeatedly.

e)

90% of all possible samples of this same size would result in a sample median that falls with $742 of $57005.

23.

A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6 am and 10 pm, and he and his assistant count the number of cars passing through each intersection during the 10-minute interval that begins at that time. He plans to test the hypothesis that the mean difference in the number of cars passing through the two intersections during each of those 12 times intervals is 0. Which of the following is the appropriate test of the city planner’s hypothesis?

a)

Two-proportion

z-test

b)

Two-sample

z-test

c)

Matched pairs

t-test

d)

One sample

t-test

e)

Two sample

z-test

24.

Different varieties of fruits and vegetables have different amounts of nutrients. These differences are important when these products are used to make baby food. Let μ1=mean amount carbs in variety 1\mu_1=mean\ amount\ carbs\ in\ variety\ 1 and   μ2=mean amount carbs in variety 2\mu_2=mean\ amount\ carbs\ in\ variety\ 2  .

We wish to test if the two varieties are significantly different in their mean carbohydrate

content. Which of the following are the appropriate null and alternative hypotheses for this situation?

a)

Ho: μ1−μ2=0  H_o:\ \mu_1-\mu_2=0\ \ HA: μ1−μ2<0H_A:\ \mu_1-\mu_2<0   

b)

Ho: μ1−μ2=0  H_o:\ \mu_1-\mu_2=0\ \   HA: μ1−μ2>0H_A:\ \mu_1-\mu_2>0  

c)

Ho: μ1−μ2=0  H_o:\ \mu_1-\mu_2=0\ \ HA: μ1−μ2≠0H_A:\ \mu_1-\mu_2\ne0   

d)

Ho: x‾1−x‾2=0  H_o:\ \overline{x}_1-\overline{x}_2=0\ \ HA: x‾1−x‾2<0  H_A:\ \overline{x}_1-\overline{x}_2<0\ \  

e)

Ho: x‾1−x‾2=0  H_o:\ \overline{x}_1-\overline{x}_2=0\ \ HA: x‾1−x‾2≠0  H_A:\ \overline{x}_1-\overline{x}_2\ne0\ \  

25.

Different varieties of fruits and vegetables have different amounts of nutrients. These differences are important when these products are used to make baby food. Let μ1=mean amount carbs in variety 1\mu_1=mean\ amount\ carbs\ in\ variety\ 1  and μ2=mean amount carbs in variety 2\mu_2=mean\ amount\ carbs\ in\ variety\ 2  . The conditions were met and a test was run with 5 samples to see if the two varieties are significantly different in their mean carbohydrate content. The test statistic = 2.011.

What is the appropriate conclusion at the .05 significance level?

a)

The test provides convincing evidence that the carbohydrate content of variety 1 is higher

than variety 2.

b)

The test provides convincing evidence that the carbohydrate contents of the two varieties

are equal.

c)

We accept Ha: variety 1 has a higher carbohydrate content than variety 2.

d)

We reject Ho: variety 1 has a higher carbohydrate content than variety 2.

e)

We cannot reject Ho: we do not have convincing evidence that the carbohydrate contents

are different.

26.

Popular wisdom is that eating presweetened cereal tends to increase the number of cavities in children. A sample of children was entered into a study and followed for several years. Each child was classified as a sweetened-cereal lover or a unsweetened cereal lover. At the end of the study, the amount of tooth damage was measured. The summary data is given. Assuming the necessary conditions for inference are met, which of the following is an approximate 95% confidence interval for the difference in the mean tooth damage?

a)

1.21±2.262510+5151.21\pm2.262\sqrt[]{\frac{5}{10}+\frac{5}{15}}  

b)

1.21±2.2622510+225151.21\pm2.262\sqrt[]{\frac{25}{10}+\frac{225}{15}}  

c)

1.21±2.1452510+225151.21\pm2.145\sqrt[]{\frac{25}{10}+\frac{225}{15}}  

d)

0±2.145510+15150\pm2.145\sqrt[]{\frac{5}{10}+\frac{15}{15}}  

e)

1.21±1.965100+152251.21\pm1.96\sqrt[]{\frac{5}{100}+\frac{15}{225}}  

27.

You are constructing a 90% confidence interval for the difference of means from simple random samples from two independent populations. The sample sizes are n1= 6 and n2 =14. You draw dot plots of the samples to check the normality condition for two-sample t-procedures. Which of the following descriptions of those dot plots would suggest that it is safe to use t-procedures?

I. The dot plot of sample 1 is roughly symmetric, while the dot plot of sample 2 is moderately skewed left. There are no outliers.

II. Both dot plots are roughly symmetric. Sample 2 has an outlier.

III. Both dot plots are strongly skewed to the right. There are no outliers.

a)

I only

b)

II only

c)

I and II

d)

I, II, and III

e)

none of the above

28.

Which of the following is not a required condition for performing a t-test about an unknown population mean μ ?

a)

The data can be viewed as a simple random sample from the population of interest.

b)

The population standard deviation σ is known.

c)

The population distribution is Normal or the sample size is large (say n > 30).

d)

The data represent n independent observations.

e)

All four of the above are required conditions.

29.

An appropriate 95% confidence interval for μ has been calculated as ( − 0.73, 1.92) based on n = 15 observations from a population with a Normal distribution. If we wish to use this confidence interval to test the hypothesis

Ho: μ = 0 against Ha: μ ≠0,

which of the following is a legitimate conclusion?

a)

Reject Ho at the

α = 0.05 level of significance.

b)

Fail to reject Ho at the α = 0.05 level of significance.

c)

Reject Ho at the

α = 0.10 level of significance.

d)

Fail to Reject Ho at the α = 0.10 level of significance.

e)

We cannot perform the required test since we do not know the value of the test statistic.

30.

Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ . A representative of a consumer advocacy group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses

Ho :μ =14 Ha :μ <14

A Type I error in this situation would mean

a)

concluding that the bags are being underfilled when they actually aren’t

b)

concluding that the bags are being underfilled when they actually are.

c)

concluding that the bags are not being underfilled when they actually are.

d)

concluding that the bags are not being underfilled when they actually aren’t.

e)

none of these

31.

A machine is designed to dispense at least 12 ounces of a beverage into a bottle. To test whether the machine is working properly, a random sample of 50 bottles was selected and the mean number of ounces for the 50 bottles was computed. A test of the hypotheses H0 : µ = 12 versus Ha: µ < 12 was conducted, where µ represents the population mean number of ounces of the beverage dispensed per bottle by the machine. The p-value for the test was 0.08. Which of the following is the most appropriate conclusion to draw at the significance level of α = 0.05?

a)

Because the p-value is greater than the significance level, there is convincing evidence that the population mean number of ounces dispensed into a bottle is 12 ounces.

b)

Because the p-value is greater than the significance level, there is convincing evidence that the population mean number of ounces dispensed into a bottle is less than 12 ounces.

c)

Because the p-value is greater than the significance level, there is not convincing evidence that the population mean number of ounces dispensed into a bottle is less than 12 ounces.

d)

Because the p-value is less than the significance level, there is convincing evidence that the population mean number of ounces dispensed into a bottle is 12 ounces.

e)

Eight percent of the bottles will be filled with less than 12 ounces.

32.

Makers of a new pain-relieving medication claim that it relieves chronic pain faster than the current top-selling pain reliever on the market. A double-blind experiment was conducted in which 10 people who experience chronic pain were randomly selected to take either the new or the current medication. Each of the 10 people recorded the time, in minutes, from taking the medication until pain relief. After an appropriate time period, each of the 10 people took the other medication and recorded the time from taking the medication until pain relief. The medication each person took first was randomly determined, and because both medications look the same, the people in the study did not know which medication was taken first. The table below shows summary statistics for the results. Which of the following values is closest to the p-value of the appropriate t-test?

a)

0.1802

b)

0.3604

c)

0.4230

d)

0.5770

e)

0.8198

33.
Find the degrees of freedom.
a)
4
b)
5
c)
6
d)
7
34.
The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?
a)
yes, the p value is greater than .05
b)
no, the p value is less than .05
c)
yes, the p value is less than .05
d)
no, the p value is greater than .05
35.
What must be true about the expected values in a chi square test?
a)
greater than or equal to 2
b)
greater than or equal to 5
c)
greater than or equal to 10
d)
greater than or equal to 30
36.
Which test would you use to see if the distribution of music that Californians listen to is the same as that of Nevadans?  900 Californians and 600 Nevadans were surveyed.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
37.
Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in.  23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV.  This year the region was assessed again and the number of each type were again determined.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
38.
Which test would you use to see if people on computers and people on handhelds use the same Internet search engines?  1000 web searches from a computer and 1500 web searches from a hand held were tracked to see what search engine was used.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
39.
Which test would you use to see if gender is a factor choosing a person’s favorite fruit?  900 college students were surveyed and their favorite fruit recorded.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
40.
Which test would you use to see if shoe brand preferences changed between last year and this year?  1000 people were observed this year and last year to see what brand of shoe they were wearing.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
41.
Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city.  Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
42.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
43.
The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year.  She wants to know if each type of food will be equally popular so she can start ordering supplies.  To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?"  Here are the data in the table provided.  Identify the p-value and decide which of the following is the most appropriate conclusion?
a)
Because 0.0129 is less than α = 0.05, fail to reject H0.  There is convincing evidence that the food choices are equally popular.
b)
Because 0.0129 is less than α = 0.05, reject H0.  There is convincing evidence that the food choices are not equally popular.
c)
Because 0.0289 is less than α = 0.05, reject H0.  There is convincing evidence that the food choices are not equally popular.
d)
Because 0.0289 is less than α = 0.05, fail to reject H0.  There is not convincing evidence that the food choices are equally popular.
44.
A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The degrees of freedom for the test will be
a)
8
b)
9
c)
10
d)
99
45.
A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The expected counts for spinning a 5 will be
a)
5
b)
10
c)
11.1
d)
20
46.
Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education.  To offset the reduction, the largest state university proposed a 25% tuition increase.  It was determined that such an increase was needed simply to compensate for the lost support from the state.  Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university's budget at current levels.  The results are in the table provided.  Why hypotheses would be appropriate for performing a chi-square test?
a)
The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases.  The alternative is that how close students are to graduation makes no difference in their opinion.
b)
The null hypothesis is that the mean number of students who are strongly are opposed is the same for each of the 4 years.  The alternative is that the mean is different for at least 2 of the 4 years.
c)
The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the 4 years at the university.  The alternative is that the distribution is different for at least 2 of the 4 years.
d)
The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent.  The alternative is that these variables are dependent.
47.
A random sample of traffic tickets given to motorists in a large city is examined.  The tickets are classified according to the race of the driver.  The results are summarized in the table provided.  Assuming H0 is true, the expected number of Hispanic drivers who would receive a ticket is
a)
10.36
b)
11
c)
11.84
d)
12
48.
A random sample of traffic tickets given to motorists in a large city is examined.  The tickets are classified according to the race of the driver.  The results are summarized in the table provided.  We compute the value of the χ² statistic to be 6.58.  Assuming that the conditions for inference are met, the P-value of our test is
a)
Between 0.10 and 0.20.
b)
Between 0.05 and 0.10.
c)
Between 0.01 and 0.05.
d)
Less than 0.01.
49.
A random sample of traffic tickets given to motorists in a large city is examined.  The tickets are classified according to the race of the driver.  The results are summarized in the table provided.  The category that contributes the largest component to the χ² statistic is
a)
White.
b)
Black.
c)
Hispanic.
d)
Other.
50.
All current-carrying wires produce electro-magnetic (EM) radiation.  High-frequency EM radiation is thought to be a cause of cancer.  The lower frequencies are generally assumed to be harmless.  To investigate the relationship between current configuration and type of cancer, researchers visited the addresses of a random sample of children who died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either high-current configuration (HCC) or low-current configuration (LCC).  The data is provided in a table.  Which of the following may we conclude, based on the test results?
a)
There is convincing evidence of an association between wiring configuration and the chance that a child will develop some form of cancer.
b)
HCC either causes cancer directly or is a major contributing factor to the development of cancer in children.
c)
There is not convincing evidence of an association between wiring configuration and the type of cancer that cause the deaths of children in the study.
d)
There is convincing evidence that HCC does not cause cancer in children.
51.
Which statement is NOT correct about the chi-square test statistic?
a)
a)A value close to 0 would indicate expected counts are much different from observed counts.
b)
b)A large value of the test statistic would be in support of the alternative hypothesis.
c)
c)A small value of the test statistic would indicate evidence supporting the null hypothesis.
d)
d)The test statistic is the sum of positive numbers and therefore must be positive.
52.
: The chi-square statistic is similar to all other test statistics we have discussed  in that it compares observed values to values that would be expected if H0 were true. 
a)
True
b)
False
53.

Which of the following best describes a Type I error?

a)

The null is true, but we mistakenly reject it.

b)

The null is false and we reject it.

c)

The null is false, but we fail to reject it.

d)

The null is true but we fail to reject it.

e)

The null is true, and we fail to reject it.

54.
To test a claim about a mean, when the population standard deviation is unknown we use:
a)
z procedures
b)
Pythagorean Theorem
c)
t procedures
d)
np > 10 and n(1-p) > 10
55.

The null hypothesis is represented by:

a)

Ha

b)

Ho

c)

t*

d)

HP

e)

μ

56.

The null hypothesis always contains a(an):

a)

< or >

b)

=

c)

>

d)

= or >

e)

≠

57.
When p-value is greater than alpha we:
a)
Accept Ho
b)
Accept Ha
c)
Fail to reject Ho
d)
Reject Ho
58.
Margin of error equals:
a)
Critical Value ∗ standard Error
b)
z*
c)
1.96
d)
Standard Error
59.
What is the Power of a test?
a)
A strong force
b)
The probability that we correctly reject a false null.
c)
The probability that we correctly accept a true null.
d)
How tough it is.
60.

Which of the following best describes a type II error?

a)

The null is true, but we mistakenly reject it.

b)

The null is false and we reject it.

c)

The null is false, but we fail to reject it.

d)

The null is true but we fail to reject it.

e)

Te null is false, and we reject it.

61.
What does it mean when a test is statistically significant?
a)
it has reached alpha level status
b)
the test statistic had a P-value higher than the alpha level
c)
the test statistic had a P-value lower than the alpha level
d)
it is important in practical terms
62.
How can you reduce both Type I and Type II errors?
a)
it can't be reduced
b)
redo the tests
c)
increase the sample size
d)
tamper with the data
63.

When conducting a significance test for the difference in proportions, why do we pool the data when finding standard error?

a)

Because we like to swim

b)

Because we assume p1 = p2 in Ho

c)

Because the sample sizes are always equal

d)

To be safe and make sure we don't underestimate the standard error

e)

Because we don't the standard deviation.

64.
When creating a confidence interval for the difference of 2 proportions, we pool the samples when finding standard error
a)
True
b)
False
65.
What do we use to estimate unknown parameters?
a)
Hypothesis Test
b)
Confidence Interval
c)
Trig Identity
d)
Guess and check
66.

How to interpret the coefficient -0.059?

a)

When the sale price decrease by $1, the corresponding mileage will increase by 0.059 miles.

b)

When the sale price increase by $1, the corresponding mileage must increase by 0.059 miles.

c)

When the mileage increases by 1 mile, the sale price will decrease $0.059.

d)

When the mileage increases by 1 mile, the sale price will increase $0.059.

67.

Predict the sales price for a car with a mileage of 100000 miles.

a)

$16529

b)

$10570

c)

$5916.47

d)

$16529

68.

How is the the quality of this regression equation?

a)

The goodness of fit of the regression is bad because the R square is 0.539. i.e. 53.9% variation is explained by the linear regression.

b)

The goodness of fit of the regression is not too bad because the multiple R is 0.734, i.e. 73% variation is explained by the regression.

c)

The goodness of fit of the regression is good because the multiple R is 0.734, i.e. 73.4% of the variation is explained by the linear regression.

d)

The goodness of fit of the regression is good because the R square is 0.539, i.e. 53.9% of the variation is explained by the linear regression

69.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
70.

The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: “The poll had a margin of error of plus or minus three percentage points at a 95% confidence level.” You can safely conclude that

a)

95% of all Gallup Poll samples like this one give answers within ± 3% of the true population value.

b)

95% of all Gallup Poll samples like this one give answers within ± 3% of the true population value.

c)

95% of all Gallup Poll samples like this one give answers within ± 3% of the true population value.

d)

we can be 95% confident that the sample proportion is captured by the confidence interval.

e)

if Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.

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