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AP Statistics Hypothesis Tests for Means

Authored by Anthony Clark

Mathematics

12th Grade

AP Statistics Hypothesis Tests for Means
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Mrs. Trahan claims that her students' average score on the AP exam is 3.9. A random sample of 50 of her students' scores produce a mean score of 3.1 with a standard deviation of 1.5. Does this sample show evidence that Mrs. Trahan is overstating her average score?

With a test statistic of -3.8 which is unlikely, it seems that Mrs. Trahan may be overstating her average AP score.

With a test statistic of -4.7 which is unlikely, it seems that Mrs. Trahan may be overstating her average AP score.

With a test statistic of -0.53 which is not unusual and this sample does not show evidence that Mrs. Trahan is overstating her average AP score.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

You have an SRS of 23 observations from large population. The distribution of sample values is roughly symmetric with no outliers. What critical value would you use to obtain a 98% confidence interval for the mean of the population?

2.177

2.183

2.326

2.500

2.508

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A quality control inspector will measure the salt content (in milligrams) in a random sample of bags of potato chips from an hour of production. Which of the following would result in the smallest margin of error in estimating the mean salt content σ ?

90% confidence; n = 25 

90% confidence; n = 50 

95% confidence; n =25 

95% confidence; n =50 

n=100 at any confidence level 

5.

MATCH QUESTION

1 min • 1 pt

A random sample of 100 pairs of ladies’ shoes had a mean size of 8.3. Assume the population standard deviation is 1.5.  Can you conclude that the mean size of ladies’ shoes differs from 8?  Use the 0.01 level of significance.

100

8.3

µ

8

s

1.5

n

N/A

σ

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A
B
C
D

7.

DROPDOWN QUESTION

1 min • 1 pt

A random sample of 100 pairs of ladies’ shoes had a mean size of 8.3. Assume the population standard deviation is 1.5.  Can you conclude that the mean size of ladies’ shoes differs from 8?  Use the 0.01 level of significance. p-value is ​ (a)   ​ (b)   0.01 hence ​ (c)   the null hypothesis. ​ (d)   evidence to conclude that the mean size of ladies' shoes differs from 8.

There is not enough

0.0482

>

we fail to reject

We reject

<

There is enough

0.485

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