Question

Find the critical value F₀ to test the claim that  = . Two samples are randomly selected from populations that are normal. The sample statistics are given below. Use α = 0.05.

n₁ = 25 n₂ = 30

= 3.61  = 2.25

2.09

2.21

2.15

2.14

Answer 1

Answer---->> Critical value is F_{​​​​​​0}​​​ = 2.15

Given that

level of significance = =0.05

Sample size for population 1 is , n_{​​​​​1}= 25

Sample size for population 2 is , n_{​​​​​​2} = 30

Critical value F_{​​​​​​0} is ,

F(,n_{​​​​​​1}​​​​​ -1 , n_{​​​​​​2} -1) = F( 0.05,24,29) = 2.15

Here for finding critical value we use F-distribution table for level of significance = = 0.05