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1. A research report concludes that there are significant differences among trea

ID: 3151635 • Letter: 1

Question

1. A research report concludes that there are significant differences among treatments, with “F(2, 24) = 8.62, p < .01.” If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment? A. 10 B. 30 C. 7 D. 9

2. A research study comparing three treatments with n = 5 in each treatment produces T1 = 5, T2 = 10, T3 = 15, with SS1 = 6, SS2 = 9, SS3 = 9, and X2 = 94. For this study, what is SSbetween? A.34 B.10 C.24 D.68

3. A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12) = 4.00. If the researcher had used an ANOVA to evaluate the data, what F-ratio would be obtained?

F(1, 11) = 2.00

F(1, 12) = 16.00

F(1, 12) = 2.00

F(1, 11) = 16.00

A.

F(1, 11) = 2.00

B.

F(1, 12) = 16.00

C.

F(1, 12) = 2.00

D.

F(1, 11) = 16.00

Explanation / Answer

1:

Degree of freedom of numerator is df1= 2 so number of groups is 2+1=3

Degree of freedom of numerator df2=24

Total degree of freedom: df-total = 24 + 2 = 26

Therefore total number of observations is n = df-total +1=26+1=27

Since each group has equal number of observations so number of individuals in each treatments is 27 /3 = 9

hence, option D is correct.