"Two Tail Hypothesis Test with Variance test the hypothesis the variance for economists equal the variance for the historians. Use a .05 significance level, a two tail test and the following data : economist historian var 120 90 n 46 38"

gsragator9

gsragator9

Answered question

2022-09-01

Two Tail Hypothesis Test with Variance
test the hypothesis the variance for economists equal the variance for the historians. Use a .05 significance level, a two tail test and the following data :
economist historian
var 120 90
n 46 38

Answer & Explanation

Haylie Campbell

Haylie Campbell

Beginner2022-09-02Added 13 answers

We can use the F-test (Snedecor and Cochran, 1983) to test
H 0 : σ 1 2 = σ 2 2
versus
H A : σ 1 2 σ 2 2
The F statistics is obtained by F = σ 1 2 / σ 2 2 , with σ 1 2 σ 2 2 without loss of generality. In this case F=1.333.
We must compare this value with the critical value from the table F 1 α / 2 , N 1 1 , N 2 1 = F 0.975 , 45 , 37 = 1.88. The evaluated F is smaller than critical F, so you don't reject H 0 .

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