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 Source DE C2 rror 34 Total 36 Adj SS Adj MS F-Value P-Value 0.993 0.18 23.92 0.01 0.36 813.27 813.63 2 S = 4.891 R-Sq = 0.04% R-Sq ( adj ) =-5.84% Level N Mean StDev 2 8 10.021 6.362 12 10.249 3.52 17 10.049 4.96 Pooled StDev = 4.891 Fisher Individual Tests for Differences in Means Difference Difference of Levels Adjusted P-Value of Means 93% CI T-val ue 0.228 (3.948, 4.404) 0.028 (-3.895, 3.951) -0.200 (-3.650, 3.250) Simaltaneous confidence level = 83.72 (a) Find a 93% Fisher confidence interval for 13 (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 3, 2 and 3 only (B) none of them (C) 1 and 2, 1 and 3 only (D) 1 and 3 only (E) all of them (F) 2 and 3 only (G) 1 and 2, 2 and 3 only (H) 1 and 2 only Problem #7(b): Select which pairs? Just Save Submit Problem #7 for Gradi

Explanation / Answer

(a)

From the Minitab output, 93% Fisher confidence interval for 3 - 1 is

-3.895,3.951

(b)

As, all 93% confidence interval of difference in means contain 0, none of the means are siginificantly different at the 7% confidence interval. So the correct option is

(B) None of them

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