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 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

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