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 = 2.60 is what I got.
F = 4.49
That was wrong answer critical value
This is the correct one
F critical value 6.12
Sorry but that answer is wrong also..
F .025, 7 , 9 = 4.20
To find the critical value for the hypothesis test, we need to calculate the degrees of freedom and use the appropriate distribution table.
In this case, we are testing the hypothesis Ha: ó1 > ó2, which means we are comparing the variances of two populations. The test statistic we will use is the F-test statistic.
The degrees of freedom for the numerator (df1) is equal to n1 - 1, where n1 is the sample size of the first population. In this case, n1 = 8, so df1 = 8 - 1 = 7.
The degrees of freedom for the denominator (df2) is equal to n2 - 1, where n2 is the sample size of the second population. In this case, n2 = 10, so df2 = 10 - 1 = 9.
With df1 = 7 and df2 = 9, we can find the critical value in the F-distribution table.
The significance level (á) is given as 0.025. This is a two-tailed test, so we need to find the critical value for a tail area of 0.025.
Looking up the critical value in the F-distribution table with df1 = 7 and df2 = 9 and a tail area of 0.025, we can find the critical value to be approximately 3.44.
Therefore, the critical value for the hypothesis test is 3.44.
Based on the information you provided, it appears that the critical value you calculated (F = 2.60) does not match the correct critical value of 3.44. Please double-check your calculations to ensure accuracy.