Question

Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 12.3477
11.1838 is the standard deviation of the second sample.

Answer 1

Here, we have given that,

S1=first sample standard deviation = 12.3477

S2=second sample standard deviation = 11.1838

Here, the distribution of both parameters are normal.

Claim: To check whether the two population variance are equal or not.

The hypothesis is

v/s

Test statistics is

F-statistics=

=

=1.22

F-statistics is 1.22.

Additionally, we can conclude the significance of the claim based on P-value and F-critical value, which is based on n1 and n2 (number of observations in the first and second sample respectively).