Question

A simple random sample of pulse rates of 50 women from a normally distributed population results in a standard deviation of 12.6 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 0.10 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. O A. Ho: 0= 10 beats per minute H: 0# 10 beats per minute OC. Ho: c* 10 beats per minute H: 0= 10 beats per minute OB. Ho: 02 10 beats per minute Hp: 0<10 beats per minute OD. Ho: 0= 10 beats per minute H: 0<10 beats per minute b. Compute the test statistic. x²=1 (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is (Round to three decimal places as needed.) d. State the conclusion. Ho. There sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.

Answer 1

The statistical software output for this problem is :

One sample variance summary bypothesis test: o: Variance of population H:6 = 100 H:6=100 Hypothesis test results: Variance Sample Var. DF Chi-square Stat P-value 158.76 49 77.7924 0.011

Hypothesis : Option A is correct.

Test statistics = 77.792

P-value = 0.011

reject , is