Question

Consider the hypothesis

please ignore the answers in the photos they are from a previous problem, thank u!!!

Ho: o2 37.0 H1: o237.0 Consider the hypothesis statement to the right. State your conclusion given that s 7.5, n 28, and a 0.10 Click the icon to view a table of chi-square critical values. Calculate the appropriate test statistic The test statistic is (Round to two decimal places as needed.)

Answer 1

Answer

Given that

s = 7.5, n= 28, alpha = 0.10

sigma^2 = 37

test statistic = [(n-1)*s^2]/sigma^2

= [(28-1)*7.5^2]/37

= 1518.75/37

= 41.05

critical value= CHISQ.INV(alpha, n-1)

setting alpha = 0.10 and n = 28

critical value(left tailed) = CHISQ.INV(0.10,27) = 18.114

and right tailed critical value = CHISQ.INV.RT(0.10,27) = 36.741

Reject Ho because the test statistic is out of critical value range

Reject Ho, there is sufficient evidence to conclude that sigma^2 is different from 37