Problem #7: Consider the data set that is summarized in the Minitab Output below

Question

Problem #7: Consider the data set that is summarized in the Minitab Output below. Adj Ss 50.68 357.85 408.53 Adj MS F-Value P-Value 0.105 Source DF C2 Error 34 Total 36 2.41 25.34 10.53 S = 3.244 R_Sg = 12.40% R-Sg(adi) = 7.25% Level N Mea StDev 1 12 13.694 3.191 11 13.563 3.032 14 11.221 3.441 Pooled StDev = 3 . 2 44 Fisher Individual Tests for Differences in Means Adjusted P-Value Difference of Levels 2-1 31 32 Difference OI Means 93% CI T-Value 0.131 (-2.664, 2. 403) -2.473 (4.861, -0.086) -2.342 (4.788, 0.103) Simultaneous confidence level = 83.72% (a) Find a 93% Fisher confidence interval for 3TM1 (b) Which pairs of means are significantly different (using Fisher's LSD method at the 7% significance level)? enter your answer in the form a,b (numbers correct to 3 decimals) Problem #7(a): (A) 1 and 2, 1 and 3 only (B) 2 and 3 only (C) none of them (D) 1 and 2 only (E) all of them (F) 1 and 3 only (G) 1 and 3, 2 and 3 only (H) 1 and 2, 2 and 3 only Problem #7(b): select which pairs? Just Save Submit Problem #7 for Grading

Explanation / Answer

7a)

From the given output

93% fisher confidence interval = (-4.861, -0.086)

7b)

Decision rule : if p value < 0.07, the that two variables are significantly different

option F is correct

pair T value p value decision 2-1 -0.099 0.9221 Not significant 3-1 -1.964 0.0612 significant 3-2 -1.287 0.2174 Not significant

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