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Susan wanted to know whether kids\' attitudes towards vegetables differed as a f

ID: 3176344 • Letter: S

Question

Susan wanted to know whether kids' attitudes towards vegetables differed as a function of age and gender. So Susan randomly surveyed 60 kids that were 6 (n = 20), 7 (n = 20), or 8 (n = 20) years of age with each age having equal numbers of male and female participants. Each student was asked to rate their attitude of 10 different vegetables on a 1 – 10 scale with 1 being totally negative and 10 being totally positive. Provide the null and alternative hypotheses in sentence form. Then fill in the Table below to determine whether any significant differences exist. Thus fill in the appropriate SS, df, MS, Fcrit values (alpha = 0.05), and p-values (e.g., p < .05, p > .05). Last, you need to provide an outcome statement(s) in sentence form. You do not need to calculate effect size(s) nor Tukey’s HSD for this problem

Explanation / Answer

the null and alternative hypotheses is

H0: All means are same

HA : two or more means are different from the others

From the results it can be said that there is strong evidence that the mean is differ.

SS DF MS F FCRITICAL P-VALUE AGE (A) 32 2 16 33.2307692 3.16824597 3.9059E-10 GENDER (B) 20 1 20 41.5384615 4.01954091 3.2722E-08 BTWN GROUPS AXB 8 2 4 8.30769231 3.16824597 0.00071507 WITHIN GROUPS 26 54 0.481481 TOTAL 86 59