A simple random sample of 48 men from a normally distributed population results in a standard deviation of 8.6 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.

a. 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

b. Compute the test statistic.

2 = (Round to three decimal places as needed) c. Find the P-value.

P-value is = (Round to four decimal places as needed)

d. State the conclusion. (Reject / Do not reject (hypothesis) because the P-value is greater than / less than the level of significance. There is sufficient / insufficient evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.