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 0.10 level of significance (Assume that the population variances are equal but unknown). Which of the following statements is true?

weight loss(in pounds)    , low carb diet group 1 ,    low fat diet group 2

mean ,    9.7 ,    8.3

variance    , 3.0    ,    3.4

observations ,    30    , 30

pooled variance    ,    3.2

df

t stat

p(t<=t) two-tail    , 0.0024

Select one:

The appropriate p-value for the test is 0.0012.

None of these are correct.

The critical values for the test are ±1.671.

All of these are correct.

There is no evidence that the average weight loss for those on the Low-Carb Diet is more than those on the Low-fat Diet.

Answer 1