A simple random sample of pulse rates of 2525 women from a normally distributed population results in a standard deviation of 11.411.4 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 women 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.

Upper H 0 : sigma equals H0:=10 beats per minute

Upper H 1 : sigma less than H1:<10 beats per minute

B.

Upper H 0 : sigma greater than or equals H0:10 beats per minute

Upper H 1 : sigma less than H1:<10 beats per minute

C.

Upper H 0 : sigma equals H0:=10 beats per minute

Upper H 1 : sigma not equals H1:10 beats per minute

D.

Upper H 0 : sigma not equals H0:10 beats per minute

Upper H 1 : sigma equals H1:=10 beats per minute

b) Complete the test statistic.

x^2=

c) Find the P-value of the test statistic (round to three decimal places as needed).

P-value=

d) State the conclusion.