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**STAT 200_ Practice_PAIRED T TEST and Variance Test**

- From Mathematics, Statistics

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1. In a study of memory recall, 5 people were given 10 minutes to memorize a list of 20 words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The result is shown in the following table. Number of Words Recalled

ubject

1 hour later

24 hours later

1

14

12

2

18

15

3

11

9

4

13

12

5

12

12

Is there evidence to suggest that the mean number of words recalled after 1 hour exceeds the mean recall after 24 hours? Assume we want to use a 0.05 significance level to test the claim.

(a) Identify the null hypothesis and the alternative hypothesis.

b) Determine the test statistic. *Show all work; *

(c) Determine the P-value. *Show all work; writing the correct P-value, without supporting work, will receive no credit. *

(d) Is there sufficient evidence to support the claim that the mean number of words recalled after 1 hour exceeds the mean recall after 24 hours? Justify your conclusion.

2. In a pulse rate research, a simple random sample of 600 men results in a mean of 80 beats per minute, and a standard deviation of 11.3 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standard deviation less than 12 beats per minutes. Use a 0.05 significance level to test the researcher’s claim.

(a) Identify the null hypothesis and alternative hypothesis.

(b) Determine the test statistic. *Show all work; *

(c) Determine the *P*-value for this test. *Show all work; *

(d) Is there sufficient evidence to support the researcher’s claim? Explain.

**STAT 200_ Practice_PAIRED T TEST and Variance Test**

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- Submitted On 14 Jul, 2017 04:11:17

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