Question

Population A: n=10s 2 =154.9 Population B: n=10S 2=178.2 What is the value of FSTAT if you are testing the null hypothesis H 0 :σ 12 =σ22?

The value of F STAT is (Round to two decimal places as needed.)

Answer 1

Given:Population A: n=10s²=154.9Population B: n=10S²=178.2We have to find the value of FSTAT if we are testing the null hypothesis H0: σ₁² = σ₂².The formula for F statistic is, F = s₁² / s₂² where s₁² is the variance of sample 1 and s₂² is the variance of sample 2.Calculating the F-statistic for the given sample size n = 10s²1 = 154.9 and s²2 = 178.2 we have:F = s1²/s2²F = 154.9 / 178.2F ≈ 0.8692Hence, the value of FSTAT (rounded to two decimal places) if we are testing the null hypothesis H0: σ₁² = σ₂² is 0.87.