A researcher conducts two studies on child health. In Study 1, 30 children consume either a low, moderate, or high-fat meal (n=1

Question

3 years ago

11

A researcher conducts two studies on child health. In Study 1, 30 children consume either a low, moderate, or high-fat meal (n=1

0 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?

Mathematics

1 answer:

balandron [24] · Answer 1 · 2022-11-03T03:40:31+03:00

balandron [24]3 years ago

6 0

Answer:

The answer is "Study 2"

Step-by-step explanation:

In Study 2:

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