A random sample of n observations, selected from a normal population, is used to test the null hypothesis H0: σ2 = 155. Specify the appropriate rejection region. Ha: σ2 155, n = 25, α = .10
A) χ2 33.1963
B) χ2 34.3816
C) χ2 36.4151
D) χ2 15.6587

Question

A random sample of n observations, selected from a normal population, is used to test the null hypothesis H0: σ2 = 155. Specify the appropriate rejection region. Ha: σ2 > 155, n = 25, α = .10
A) χ2 > 33.1963
B) χ2 > 34.3816
C) χ2 > 36.4151
D) χ2 > 15.6587

Quizplus · Accepted Answer

The rejection region for a right-tailed test of the variance of a normal population is given by χ2 > χ2α,n-1, where χ2α,n-1 is the upper α-quantile of the chi-squared distribution with n-1 degrees of freedom. For n = 25 and α = .10, χ2α,n-1 = 33.1963. Therefore, the rejection region is χ2 > 33.1963.

A Random Sample of N Observations, Selected from a Normal