Question

A researcher conducts two studies on child health. In Study 1, 30 children consume either a low, moderate, or high-fat meal (n=10 per group). In Study 2, the researcher conducts the same study, except that a No Meal control group is added, with n = 10 in each group. If Fobt = 3.11 in both studies, then in which study will the decision be to reject the null hypothesis at a .05 level of significance for a one-way between-subjects ANOVA?

Answer 1

The answer is "Study 2"

Explanation:

In Study 2:

`k =group\ number = 4\\\\df_1 = k - 1 = 4 - 1 = 3\\\\N = Total\ observations \ numbers = 30 + 10 = 40\\\\df_2 = N - k = 40 - 4 = 36\\\\Critical \ value( \alpha) (0.05,3,36) = 2.866\\\\Decision\ Rule\ in \ F \ test > F \critical, \ Then \ Reject H_0\\\\F \ test \ (3.11) < F \ critical \ (2.866)\\\\ \therefore H_0 \ is\ reject\\\\`