AP Stats Unit 6

AP Stats Unit 6

12th Grade

10 Qs

quiz-placeholder

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AP Stats Unit 6

AP Stats Unit 6

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

We are trying to estimate the difference between the SAT scores of students who have taken AP Statistics, and students who have not taken AP Statsitics. We calculate a 90% confidence interval, and get (50, 120). Interpret the confidence interval in context.

We are 90% confident that AP Stats students score a 120 on the SAT, but non-AP Stats students score a 50 on the SAT

90% of the time, we will get a confidence interval between 50 and 120.

We are 90% confident that the SAT scores of students that have taken AP Stats are between 50 and 120 points higher than the SAT scores of students that have not taken AP Stats.

90% of the students that have taken AP Stats score between 50 and 120 points higher than students that have not taken AP Stats.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A certain population follows a normal distribution with mean μ and standard deviation σ. You construct a 95% confidence interval for μ and find it to be 1.1 ± 0.9. Which of the following is true?

In a test of the hypotheses Ho: μ=1.2, HA: μ≠1.2, HO would be rejected at the .05 level.

In a test of the hypotheses Ho: μ=1.9, HA: μ≠1.9, HO would be rejected at the .05 level.

In a test of the hypotheses Ho: μ=1.9, HA: μ≠1.9, HO would be rejected at the .025 level.

In a test of the hypotheses Ho: μ=0, HA: μ≠0, HO would be rejected at the .05 level.

A conclusion about hypotheses cannot be made from a confidence interval.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A company claims its program will allow your computer to download movies quickly. We’ll test the free evaluation copy by downloading a movie several times, hoping to estimate the mean download time with a margin of error of only 8 minutes. We think the standard deviation of download times is about 10 minutes. Which of the following sample sizes would guarantee a margin of error of less than 8 minutes if we want to be 95% confident?

6

10

11

15

None of these

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

You perform a hypothesis test with H0: mu=12, HA: mu>12

Suppose that HA is true. For a fixed sample size and significance level α, the power of the test will be greatest if the actual mean is which of the following?

mu=3

mu=13

mu=13.5

mu=16

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a condition for choosing a t-interval rather than a z-interval when constructing a confidence interval for the mean of a population?

The standard deviation of the population is unknown.

There is an outlier in the sample data.

The sample may not have been a simple random sample.

The population is not normally distributed.

The data are linked so a matched-pairs test is necessary.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A two-sided hypothesis test for a population mean is significant at the 1% level of significance. Which of the following is necessarily true?

The 99% confidence interval of the mean contains 0.

The 99% confidence interval of the mean does not contain 0.

The 99% confidence interval of the mean contains the hypothesized mean.

The 99% confidence interval of the mean does not contain the hypothesized

mean.

The 99% confidence interval is not useful here.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is not a characteristic of the t-distribution

It is unimodal

It is symmetric

It is bell-shaped

It gets wider with increasing degrees of freedom

It approaches the normal distribution as the degrees of freedom increase

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