Question

A simple random sample of 32 men from a normally distributed population results in a standard deviation of 10.3 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 men have a standard deviation equal to 10 beats per minute. Complete parts​ (a) through​ (d) below. what are the test statistics? what are the p values?

Answer 1

To Test :-

H0 :-  

H1 :-  

n = 32

Test Statistic :-

Test Criteria :-
Reject null hypothesis if


32.8879 lies between the value 44.985 and 19.281 , hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0

Decision based on P value
P value = 2 * P ( > 32.8879 )
P value = 0.7494
Reject null hypothesis if P value <
Since P value = 0.7494 > 0.1, hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0

There is sufficient evidence to support the claim that  pulse rates of men have a standard deviation equal to 10 beats per minute.