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
I did it this way and it comes up wrong 1-0.025=0.975/2=.4875 looked up on z chart and got 2.2 +.04=2.24 but that was wrong
To find the critical value for a hypothesis test, you need to consider the significance level and the distribution associated with the test. In this case, since you want to find the critical value for a hypothesis test involving standard deviations, it suggests you are performing an F-test.
In an F-test, the critical value is determined by the F-distribution, not the standard normal distribution (Z-distribution) you used in your calculation. The F-distribution is a probability distribution that measures the ratio of two variances.
To find the critical value for the F-test, you need to look it up in the F-distribution table or use mathematical software. In your question, you provided the value of F as 2.24, but that is not sufficient information to find the critical value.
The critical value depends on the numerator and denominator degrees of freedom associated with the F-distribution. In this case, the numerator degrees of freedom (associated with ö1) is n1 - 1 = 8 - 1 = 7, and the denominator degrees of freedom (associated with ö2) is n2 - 1 = 10 - 1 = 9.
To find the critical value using the F-distribution table, you would need to look up the critical value for a significance level of 0.025 and degrees of freedom 7 and 9.
If you are using mathematical software, you can directly input the degrees of freedom and significance level to find the critical value.
Unfortunately, without the exact degrees of freedom, it's not possible to provide the critical value for this specific F-test.