Suppose you take two random samples of dieters to show that those on a Low-Carb Diet lose more weight than those on a Low-Fat Diet. Use the following table to test the hypothesis H0: µ1 ≤ µ2 versus H1: µ1 > µ2 at 0.05 level of significance (Assume that the population variances are equal but unknown). What is the pooled-variance?
weight loss(in pounds) low carb diet group 1, low fat diet group 2
mean 9.70 8.30
variance 3.55 3.75
observations 25 40
None of these are correct
Given data in problem
Sample 1 -
Level of significance
Pooled-variance for given two sample variances is
So option 2nd is correct which is 3.674
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