Free Printable AP Statistics Chapter 9

Worksheets

AP Statistics Chapter 9

Total questions: 21

Worksheet time: 1hrs 15mins

Name

Class

Date

Which of the following best describes a Type I error?

The null is true, but we mistakenly reject it.

The null is false and we reject it.

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

The null is true but we fail to reject it.

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

To test a claim about a mean, when the population standard deviation is unknown we use:

z procedures

Pythagorean Theorem

t procedures

np > 10 and n(1-p) > 10

The null hypothesis is represented by:

The null hypothesis always contains a(an):

< or >

= or >

≠

When p-value is greater than alpha we:

Accept Ho

Accept Ha

Fail to reject Ho

Reject Ho

Margin of error equals:

Critical Value ∗ standard Error

1.96

Standard Error

Which of the following best describes a type II error?

The null is true, but we mistakenly reject it.

The null is false and we reject it.

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

The null is true but we fail to reject it.

Te null is false, and we reject it.

What does it mean when a test is statistically significant?

it has reached alpha level status

the test statistic had a P-value higher than the alpha level

the test statistic had a P-value lower than the alpha level

it is important in practical terms

How can you reduce both Type I and Type II errors?

it can't be reduced

redo the tests

increase the sample size

tamper with the data

10.

A researcher plans to conduct a test of hypotheses at the α = 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type I error is

0.01

0.10

0.90

0.99

11.

You construct a 95% confidence interval for a mean and find it to be 1.1 ± 0.8. Which of the following is true?

A test of the hypotheses H₀: μ = 1.2, H_a: μ ≠ 1.2 would reject H₀ at the 0.05 level.

A test of the hypotheses H₀: μ = 1.1, H_a: μ ≠ 1.1 would reject H₀ at the 0.05 level

A test of the hypotheses H₀: μ = 0, H_a: μ ≠ 0 would reject H₀ at the 0.05 level

All three tests above would reject H₀ at the 0.05 level.

12.

A left-tailed test with n = 41 has a test statistic t = 2.72. Which is the correct p-value?

0.0033

.00486

.0096

Not enough
information

13.

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?

H₀ = 47
H_a = 47

H₀ = 47
H_a < 47

H₀ = 47
H_a > 47

H₀ = 47
H_a ≠ 47

14.

You have data on rainwater collected at 16 locations in the Adirondack Mountains of New York State. One measurement is the acidity of the water, measured by pH on a scale of 0 to 14 (the pH of distilled water is 7.0). Which inference procedure would you use to estimate the average acidity of rainwater in the Adirondacks?

one-sample z interval for μ

one-sample t interval for μ

one-proportion z-test

one-sample t test

15.

In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. The agency should be testing the null hypothesis H₀: m = 10 and the alternative hypothesis

Ha: μ < 10

Ha: μ > 10

Ha: μ ≥ 10

Ha: μ ≤ 10

16.

the z-score is closest to: (you can use 1PropZtest or the z-score equation by hand)

$-.503$

$.503$

$.404$

$2.48$

17.

The drying supervisor uses the new method on a random sample of 200 boards. She conducts a hypothesis test on her sample data and gets a p-value of .027. Based on the p-value , was there convincing evidence that the new method is better? Use $\alpha$ = 0.05.

Since our p-value of 0.027 is < $\alpha$ , we reject the null hypothesis. We have convincing evidence that the new method is better.

Since our p-value of 0.027 is >undefined , we fail to reject the null hypothesis. We do not have convincing evidence that the new method is better.

18.

A test of H₀: µ=60 versus H_a: µ≠60 produces a sample mean of x-bar = 58 and a P-value of 0.04. At an α = 0.05 level, which of the following is an appropriate conclusion?

There is sufficient evidence to conclude that µ < 60.

There is sufficient evidence to conclude that µ = 60.

There is insufficient evidence to conclude that µ = 60.

There is insufficient evidence to conclude that µ ≠ 60

There is sufficient evidence to conclude that µ ≠ 60.

19.

We want to test H₀: µ = 1.5 vs. H_a : µ ≠ 1.5 at α = 0.05 . A 95% confidence interval for µ calculated from a given random sample is (1.4, 3.6). Based on this finding we

fail to reject H₀

reject H₀

cannot make any decision at all because the value of the test statistic is not available

cannot make any decision at all because the distribution of the population is unknown

cannot make any decision at all because (1.4, 3.6) is only a 95% confidence interval for µ

20.

The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwise allows you to eat whatever you like. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are (see photo). What would a Type II error be for this test of the water diet?

Concluding that the diet leads to weight loss when it doesn’t.

Concluding that the diet leads to weight loss when it really does.

Not concluding that the diet leads to weight loss when it does.

Not concluding that the diet leads to weight loss when it really doesn’t.

Drawing a conclusion from this test when the Normality condition has not been satisfied.

21.

Resting pulse rate is an important measure of the fitness of a person's cardiovascular system, with a lower rate indicative of greater fitness. The mean pulse rate for all adult males is approximately 72 beats per minute. A random sample of 25 male students currently enrolled in the Agriculture School at a major university was selected and the mean resting pulse rate was found to be 80 beats per minute with a standard deviation of 20 beats per minute. The experimenter wishes to test if the students are less fit, on average, than the general population. The null and alternative hypotheses are:

H₀: μ = 72; H_a: μ < 72

H₀: x-bar = 72; H_a: x-bar < 72

H₀: μ = 80; H_a: μ =72

H₀: x-bar = 80; H_a: x-bar > 72

H₀: μ = 72; H_a: μ > 72

100 %

AP Statistics Chapter 9

Total questions: 21

Worksheet time: 1hrs 15mins

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