A simple random sample of pulse rates of 40 women from a normally distributed population results in a standard deviation of 10.8 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 normalrange, 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.

b. Compute the test statistic.

c. Find theP-value of the test statistic.

d. State the conclusion.