Question

A simple random sample of pulse rates of 60 women from a normally distributed population results in a standard deviation of 13.2 beats per minute. The normal rang 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 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulss rates of women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Tortyme nus and arternative nyporneses. Choose the correct answer below. OB. Ho: c=10 beats per minute H: <10 beats per minute O A. Ho: 6210 beats per minute H:G<10 beats per minute O C. Ho: 0#10 beats per minute H: 10 beats per minute OD. Ho: 10 beats per minute Hy: #10 beats per minute b. Compute the test statistic. X2 - 102.801 (Round to three decimal places as needed.) c. Find the P-value of the test statistic, The P value of the test statistics (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 Click to select your answer(s).

Answer 1

c) P-value = 2 * P( $\chi^2$ > 102.801)

= 2 * 0.00036

= 0.00072 = 0.001

d) Since the P-value is less than the significance level(0.001 < 0.10), so we should reject the null hypothesis.

Reject H₀. There is sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.