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 DFAdj SS Adj MS F-Value P-Value C2 Error 34 Total 36 114.12 612.83 726.95 57.06 18.02 2 3.17 0.055 S 4.246 R-Sq = 15.70% R-Sq (adj) = 10.74% Level N Mean StDev 2 8 8.5773.163 12 13.3374.000 17 10.671 4.788 Pooled StDev = 4.246 Fisher Individual Tests for Differences in Means Difference Difference of Levels Adiusted T-Value P-Value of Means 93% CI 4.7611.135, 8.386) 2.094(-1.311, 5.500) -2.666 (-5.661, 0.329) simultaneous confidence level = 83.72% (a) Find a 93% Fisher confidence interval for n- (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 only (B) 2 and 3 only (C) none of them (D) 1 and 2, 2 and 3 only (E) 1 and 3 only (F) 1 and 3,2 and 3 only (G) 1 and 2,1 and 3 only (H) all of them Problem #7(b): | Select which pairs?

Explanation / Answer

We can see in output that for difference in level 3-2 confidence interval is ( -5.661, 0.329)

Ans a) -5.661, 0.329

We can see in output that for Pair 2-1 confidence interval is

( 1.135, 8.386)

Which does not include 0

So pair 2-1 is significantly different.

Ans a) 1 and 2 only.

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