Consider a scenario where you have two samples. Sample 1 contains 30 observation
ID: 3132152 • Letter: C
Question
Consider a scenario where you have two samples. Sample 1 contains 30 observations, has the sample average value of 37 and the sample standard deviation of 2.5. Sample 2 contains 20 observations, has the sample average of 39 and the sample standard deviation of 2.0. Based on this information, please conduct a 90% significance test for the equality of the two population variances.
Fail to reject the null that the two sigmas are equal
Reject the null that the two sigmas are equal
none of the above
Fail to reject the null that the two sigmas are equal
Reject the null that the two sigmas are equal
none of the above
Explanation / Answer
Correct Answer: Option (A)
H0: There is no signficant difference between two population variances
H1: There is significant difference between two population variances
F = s12 / s22 = 2.52 / 22 = 1.5625
The Critical valu of F = 1.7632 at (29,19)df
Here F < Fcrit value , we accept H0.
i.e. There is no signficant difference between two population variances