SOLUTION: In swimming, clearly you would like to swim fast, but swimming consistent times is also important. A survey of 32 swims by men on a local university's swim team found a variance of

Question 1206152: In swimming, clearly you would like to swim fast, but swimming consistent times is also important. A survey of 32 swims by men on a local university's swim team found a variance of their swimming times was 6 seconds. A similar survey of 27 swims by swimmers at a different university found the variance was 10 seconds. When testing the hypothesis (at the 5% level of significance) that the variances are equal, what is the test statistic? (please round your answer to 2 decimal places, show work)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i think they're talking f test for equal variance.
i used the f test calculator at https://www.statskingdom.com/220VarF2.html
results of the f-test are shown below.

you are looking for difference in variance, but the input requires standard deviation, so you need to enter the square root of the variance.
square root of 6 = 2.449489743.
square root of 10 = 3.16227766.

this is what the inputs look like.

here's a reference on the f-test for equal variance.

https://www.statisticshowto.com/probability-and-statistics/hypothesis-testing/f-test/

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