Question

A simple random sample of

49

men from a normally distributed population results in a standard deviation of

12.2

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.

Answer 1

H0: = 10

Ha: 10

Test statistics

= ( n - 1) S2 / 2

= ( 49 - 1) * 12.22 / 102

= 71.44

Critical values at 0.05 significance level with 48 df = 30.755 , 69.023

Since test statistics value falls in rejection region that is greater than 69.023 , Reject null hypothesis.

We have sufficient evidnce to support the claim