Question

show work

3/ 12 pts Question 5 Pulse Rates of Men. A simple random sample of 40 men results in a standard deviation of 10.3 beats per minute (based on the data set provided). 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 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Upload your work demonstrating all 5 completed steps for the hypothesis test. Your 5 steps should match the steps in the example posted in the lab introduction. (same as last week)

Answer 1

Answer

Answer

(A) we have to test whether the standard deviation is equal to 10 or not. So, it is a two tailed hypothesis

$H_o: \sigma = 10 \\ H_a: \sigma \ne 10$

(B) level of significance is 0.05

(C) it is given that sample standard deviation(s) is 10.3 with sample size n=40 and population standard deviation(sigma) is 10

formula for test statistic is

test statistic

n-1) * s2)/σ ((40 10.32)/102 4137.51/100 41.3751

(D) degree of freedom = n-1 = 40-1 = 39 and we have test statistic = 41.3751

using chi square distribution table with df(39) and test statistic 41.3751,we get

p value = 0.3674

p value is more than the significance level of 0.05, result is insignificant

(E) p value is insignificant, do no reject null hypothesis.