Clients can choose between three diets at a weight-loss treatment center. An exp

Question

Clients can choose between three diets at a weight-loss treatment center. An experiment was performed to determine if there is a difference between the diets. Fifteen patients were randomly selected and divided evenly into three groups of five for each diet. After 30 days the weight change (in pounds) for each client was recorded as shown below.

Diet A: 4, 4, 5, 5, 7

Diet B: 5, 6, 6, 7, 7

Diet C: 7 ,8, 8, 9, 9

What is the alternative hypothesis?

a. None of the diet means are equal.

b. All of the diet means are equal.

c. None of the diet variances are equal.

d. All of the diet variances are equal.

e. At least one of the diet means is not equal.

a. None of the diet means are equal.

b. All of the diet means are equal.

c. None of the diet variances are equal.

d. All of the diet variances are equal.

e. At least one of the diet means is not equal.

Explanation / Answer

In the testing framework, Null Hypothesis H0: all the diet means are equal.

We reject the null hypothesis if atleast one of them is not equal to the common mean.

Hence the correct choice of alternative hypothesis is: (e) At least one of the diet means is not equal. (Ans).

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