AP Statistics - Unit 6 and 7 Review

Last updated 10 months ago

10 questions

1

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AP Statistics - Unit 6 and 7 Review

Last updated 10 months ago

10 questions

1

A study of road rage asked separate random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of 0 to 20. Are the conditions for performing a two-sample t-test satisfied?

1

Thirty-five people from a random sample of 125 workers from Company A admitted to using sick leave when they weren’t really ill. Seventeen employees from a random sample of 68 workers from Company B admitted that they had used sick leave when they weren’t ill. Which of the following is a 95% confidence interval for the difference in the proportions of workers at the two companies who would admit to using sick leave when they weren’t ill?

1

A quiz question gives random samples of n = 10 observations from each of two Normally distributed populations. Tom uses a table of t distribution critical values and 9 degrees of freedom to calculate a 95% confidence interval for the difference in the two population means. Janelle uses her calculator’s two-sample t interval with 16.87 degrees of freedom
to compute the 95% confidence interval. Assume that both students calculate the intervals correctly.
Which of the following is true?

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained an SRS of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be 6 hours with a standard deviation of 3 hours. The researcher also obtained an independent SRS of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be 5 hours with a standard deviation of 2 hours. Suppose that the researcher decides to carry  out a significance test of H0: μsuburban = μcity versus a two-sided alternative.

1

At a baseball game, 42 of 65 randomly selected people own an iPod. At a rock concert occurring at the same time across town, 34 of 52 randomly selected people own an iPod. A researcher wants to test the claim that the proportion of iPod owners at the two venues
is different.
A 90% confidence interval for the difference (Game − Concert) in population proportions is (−0.154, 0.138).
Which of the following gives the correct outcome of the researcher’s test of the claim?

1

An SRS of size 100 is taken from Population A with proportion 0.8 of successes. An independent SRS of size 400 is taken from Population B with proportion 0.5 of successes.
The sampling distribution of the difference (A − B) in sample proportions has what mean and standard deviation?

1

Are TV commercials louder than their surrounding programs?
To find out, researchers collected data on 50 randomly selected commercials in a given week. With the television’s volume at a fixed setting, they measured the maximum loudness of each commercial and the maximum loudness in the first 30 seconds of regular programming that followed.
Assuming conditions for inference are met, the most appropriate method for answering the question of interest is

1

Researchers want to evaluate the effect of a natural product on reducing blood pressure. They plan to carry out a randomized experiment to compare the mean reduction in blood pressure of a treatment (natural product) group and a placebo group. Then they will use the data to perform a test of H0: μT − μP = 0 versus Ha: μT − μP > 0, where μT = the true mean 1535 reduction in blood pressure when taking the natural product and μP = the true mean reduction in blood pressure when taking a placebo for subjects like the ones in the experiment. The researchers would like to detect whether the natural product reduces blood pressure by at least 7 points more, on average, than the placebo. If groups of size 50 are used in the experiment, a two-sample t-test using α = 0.01 will have a power of 80% to detect a 7-point difference in mean blood pressure reduction.
If the researchers want to be able to detect a 5-point difference instead, then the power of the test

A study of road rage asked separate random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of 0 to 20. Are the conditions for performing a two-sample t-test satisfied?

Thirty-five people from a random sample of 125 workers from Company A admitted to using sick leave when they weren’t really ill. Seventeen employees from a random sample of 68 workers from Company B admitted that they had used sick leave when they weren’t ill. Which of the following is a 95% confidence interval for the difference in the proportions of workers at the two companies who would admit to using sick leave when they weren’t ill?

The power takeoff driveline on tractors used in agriculture can be a serious hazard to operators of farm equipment. The driveline is covered by a shield in new tractors, but the shield is often missing on older tractors. Two types of shields are the bolt-on and the flip-up. It was believed that the bolt-on shield was perceived as a nuisance by the operators and deliberately removed, but the flip-up shield is easily lifted for inspection and maintenance and may be left in place.
In a study by the U.S. National Safety Council, random samples of older tractors with both types of shields were taken to see what proportion of shields were removed. Of 183 tractors designed to have bolt-on shields, 35 had been removed. Of the 136 tractors with flip-up shields, 15 were removed.
We wish to perform a test of
H0: pB = pF
versus
Ha: pB > pF
, where pB and pF are the proportions of all tractors with the bolt-on and flip-up shields removed, respectively.
Which of the following is not a condition for performing the significance test?

A quiz question gives random samples of n = 10 observations from each of two Normally distributed populations. Tom uses a table of t distribution critical values and 9 degrees of freedom to calculate a 95% confidence interval for the difference in the two population means. Janelle uses her calculator’s two-sample t interval with 16.87 degrees of freedom
to compute the 95% confidence interval. Assume that both students calculate the intervals correctly.
Which of the following is true?

At a baseball game, 42 of 65 randomly selected people own an iPod. At a rock concert occurring at the same time across town, 34 of 52 randomly selected people own an iPod. A researcher wants to test the claim that the proportion of iPod owners at the two venues
is different.
A 90% confidence interval for the difference (Game − Concert) in population proportions is (−0.154, 0.138).
Which of the following gives the correct outcome of the researcher’s test of the claim?

An SRS of size 100 is taken from Population A with proportion 0.8 of successes. An independent SRS of size 400 is taken from Population B with proportion 0.5 of successes.
The sampling distribution of the difference (A − B) in sample proportions has what mean and standard deviation?

Are TV commercials louder than their surrounding programs?
To find out, researchers collected data on 50 randomly selected commercials in a given week. With the television’s volume at a fixed setting, they measured the maximum loudness of each commercial and the maximum loudness in the first 30 seconds of regular programming that followed.
Assuming conditions for inference are met, the most appropriate method for answering the question of interest is

Researchers want to evaluate the effect of a natural product on reducing blood pressure. They plan to carry out a randomized experiment to compare the mean reduction in blood pressure of a treatment (natural product) group and a placebo group. Then they will use the data to perform a test of H0: μT − μP = 0 versus Ha: μT − μP > 0, where μT = the true mean 1535 reduction in blood pressure when taking the natural product and μP = the true mean reduction in blood pressure when taking a placebo for subjects like the ones in the experiment. The researchers would like to detect whether the natural product reduces blood pressure by at least 7 points more, on average, than the placebo. If groups of size 50 are used in the experiment, a two-sample t-test using α = 0.01 will have a power of 80% to detect a 7-point difference in mean blood pressure reduction.
If the researchers want to be able to detect a 5-point difference instead, then the power of the test

Maybe; we have independent random samples, but we should look at the data to check Normality.

No; road rage scores on a scale from 0 to 20 can’t be Normal.

Yes; we have two independent random samples and large sample sizes.

The power takeoff driveline on tractors used in agriculture can be a serious hazard to operators of farm equipment. The driveline is covered by a shield in new tractors, but the shield is often missing on older tractors. Two types of shields are the bolt-on and the flip-up. It was believed that the bolt-on shield was perceived as a nuisance by the operators and deliberately removed, but the flip-up shield is easily lifted for inspection and maintenance and may be left in place. 
In a study by the U.S. National Safety Council, random samples of older tractors with both types of shields were taken to see what proportion of shields were removed. Of 183 tractors designed to have bolt-on shields, 35 had been removed. Of the 136 tractors with flip-up shields, 15 were removed. 
We wish to perform a test of 
H0: pB = pF 
versus
Ha: pB > pF
, where pB and pF are the proportions of all tractors with the bolt-on and flip-up shields removed, respectively. 
Which of the following is not a condition for performing the significance test?

Both populations are more than 10 times the corresponding sample sizes.

Both samples were chosen at random.

Both confidence intervals are the same width.

Tom’s confidence interval is wider.

Janelle made a mistake; degrees of freedom has to be a whole number.

Janelle’s confidence interval is wider.

Which is the correct standardized test statistic?

The P-value for the test is 0.048. A correct conclusion is to

Because the confidence interval includes more negative than positive values, the researcher can conclude that a higher proportion of people at the rock concert own iPods than at the baseball game.

Because the confidence interval includes 0, the researcher can conclude that the proportion of iPod owners at the two venues is the same.

Because the confidence interval includes 0, the researcher cannot conclude that the proportion of iPod owners at the two venues is different.

The researcher cannot draw a conclusion about a claim without performing a significance test.

mean = 0.3; standard deviation = 0.0002

mean = 0.3; standard deviation = 0.0022

mean = 0.3; standard deviation = 1.3

a paired t test for a mean difference.

a two-sample z test for a difference in proportions.

a two-sample t test for a difference in means.

a two-sample t interval for a difference in means.

would vary depending on the standard deviation of the data.

would still be 80%.

could be either less than or greater than 80%.

would be less than 80%.

would be greater than 80%.

fail to reject H0 because 0.048 < α = 0.05. There is convincing evidence
of a difference in the average time spent on extracurricular
activities by students in the suburban and city school districts.

fail to reject H0 because 0.048 < α = 0.05. There is convincing evidence that the average time spent on extracurricular activities by students in the suburban and city school districts is the same.

reject H0 because 0.048 < α = 0.05. There is not convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.

AP Statistics - Unit 6 and 7 Review

AP Statistics - Unit 6 and 7 Review

A study of road rage asked separate random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of 0 to 20. Are the conditions for performing a two-sample t-test satisfied?

An SRS of size 100 is taken from Population A with proportion 0.8 of successes. An independent SRS of size 400 is taken from Population B with proportion 0.5 of successes. The sampling distribution of the difference (A − B) in sample proportions has what mean and standard deviation?

A study of road rage asked separate random samples of 596 men and 523 women about their behavior while driving. Based on their answers, each respondent was assigned a road rage score on a scale of 0 to 20. Are the conditions for performing a two-sample t-test satisfied?

Which is the correct standardized test statistic?

The P-value for the test is 0.048. A correct conclusion is to

An SRS of size 100 is taken from Population A with proportion 0.8 of successes. An independent SRS of size 400 is taken from Population B with proportion 0.5 of successes. The sampling distribution of the difference (A − B) in sample proportions has what mean and standard deviation?

Which is the correct standardized test statistic?

The P-value for the test is 0.048. A correct conclusion is to

An SRS of size 100 is taken from Population A with proportion 0.8 of successes. An independent SRS of size 400 is taken from Population B with proportion 0.5 of successes.
The sampling distribution of the difference (A − B) in sample proportions has what mean and standard deviation?

An SRS of size 100 is taken from Population A with proportion 0.8 of successes. An independent SRS of size 400 is taken from Population B with proportion 0.5 of successes.
The sampling distribution of the difference (A − B) in sample proportions has what mean and standard deviation?