Find the critical value for the hypothesis test, given the following. (Give your answer correct to two decimal places.)

Ha: ó1 > ó2, with n1 = 8, n2 = 10, and á = 0.025
F = 2.24 is what I got.

This is right one critical value of F. = 6.1151

I think the one post was wrong.

Critical F value is 4.20

To find the critical value for a hypothesis test, we need to use a critical value table or a calculator. In this case, we are comparing two populations with different variances, so we will use the F-distribution to find the critical value.

Given:
- Ha: ó1 > ó2 (alternative hypothesis)
- n1 = 8 (sample size of population 1)
- n2 = 10 (sample size of population 2)
- á = 0.025 (significance level)

To find the critical value, we need to determine the degrees of freedom for the F-distribution. The degrees of freedom are calculated as (n1-1, n2-1) in this case, so we have (8-1, 10-1) or (7, 9) degrees of freedom.

Using a critical value table or a calculator, we can find the critical value for the F-distribution with these degrees of freedom and the given significance level. Let's assume that we are using a table.

1. Look up the degrees of freedom (7, 9) in the F-distribution table.
2. Find the value closest to the given significance level of 0.025.
3. Interpolate between the two values if necessary.

Based on the calculations, the critical value for the F-distribution with (7, 9) degrees of freedom is approximately 3.43 (rounded to two decimal places).

Since you obtained a critical value of F = 2.24, it seems like you made an error in your calculation. The correct critical value for this hypothesis test at a significance level of 0.025 is approximately 3.43.