Question: A simple random sample of 39 men from a normally distributed population results in a standard deviation of 9.8 beats per minute. The normal range

A simple random sample of

39

men from a normally distributed population results in a standard deviation of

9.8

beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of

10

beats per minute. Use the sample results with a

0.05

significance level to test the claim that pulse rates of men have a standard deviation equal to

10

beats per minute. Complete parts (a) through (d) below.

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0:=10

beats per minute

H1:10

beats per minute

B.

H0:10

beats per minute

H1:<10

beats per minute

C.

H0:10

beats per minute

H1:=10

beats per minute

D.

H0:=10

beats per minute

H1:<10

beats per minute

Part 2

b. Compute the test statistic.

2=

(Round to three decimal places as needed.)

Part 3c. Find the P-value.

P-value=

(Round to four decimal places as needed.)

Part 4d. State the conclusion.

Reject? or not reject? H0, because the P-value is

less than or equal to? less than, or greater than? the level of significance. There is

sufficient? or not sufficient? evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.

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