25. To test whether or not there is a difference between treatments A, B, and C,

Question

25. To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below Treatment Mean 27 24 30 27 Variance (s 32.7 13.3 56 Observation 30 20 25 40 30 28 Total The null hypothesis for this ANOVA problem is 26. Refer to the information of Q25. The mean square between treatments (MSTR) equals a. 1872 b. 5.86 c. 34 d. 36 27. Refer to the information of Q25. The mean square within treatments (MSE) equals a. 1.872 b. 5.86 C. d. 36 28. Refer to the information of Q25. The test statistic to test the null hypothesis equals a. 0.944 b. 059 c. 3.13 d. 19.231

Explanation / Answer

1) null hypothesis: option B

2) MSTR =36 ; option D

3) MSE =34 ; option C

4) test statistic =1.059 ; option B

group ni x?i S2i ni*(Xi-Xgrand)2 (ni-1)*S2i A 4 27.000 32.700 0.000 98.10 B 4 24.000 13.300 36.000 39.90 C 4 30.000 56.0000 36.000 168.00 grand mean= 27.000 72.000 306.00 SSTr SSE Source of variation SS df MS F treatment 72.000 2 36.00 1.059 error 306.000 9 34.00 total 378.000 11

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