Question

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 H_{0}:
µ_{1} ≤ µ_{2} versus H_{1}: µ_{1}
> µ_{2} 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

pooled variance

Select one:

3.076

3.674

None of these are correct

3.157

3.233

Answer #1

Given data in problem

Sample 1 -

Sample 2-

Level of significance

Pooled-variance for given two sample variances is

So option 2nd is correct which is 3.674

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 0.10 level of significance (Assume that the
population variances are equal but unknown). Which of the following
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out three new nutritional diet plans. The research department wants
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