please shows all step PART 4 Consider comparing average corn yield for four diff
ID: 3056448 • Letter: P
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PART 4 Consider comparing average corn yield for four different corn varieties. You collect random sample of 8 observations for each variety. The ANOVA table for comparing four corn varieties is given in the following table Source of Variation |Sum of Squares d.f.Mean SquareF-Statistic value 8.25 7.50 15.75 2.750 0.268 10.26 Between Within Total 28 31 Suppose you wish to compare all means two at a time (a total of 6 pair-wise comparisons) Therefore, we decided to use Bonferroni method to calculate 6 simultaneous 88% confidence interval for the difference in the average corn yield for different varieties. Questions 7 and 9 are related to this method. 7. What is the best estimate for the common standard deviation of the above 4 groups? a) 0.27 What is (approximately) the critical value for 88% family-wise confidence b) 0.52 c) 1.42 d) 1.65 e) 2.75 intervals? a) 1.3 What is (approximately) the margin of error for all 88% family-wise confidence b) 1.7 c) 2.1 d) 2.5 e) 2.7 9. intervals? a) 0.26 b) 0.64 c) 1.26 d) 1.64 e) 2.15Explanation / Answer
7)
coomon std deviation sp=(MSE)1/2 =(0.268)1/2 =0.52
option B
8)
for alphapc (pair wise comparisons) =(1-0.88)/6= 0.02
for 0.02 level and 28 degree of freedom critical value t =2.5
option D
9)margin of error =t*sp*(1/n1+1/n2)1/2 where n1=n2=8
=2.5*0.52*(1/8+1/8)1/2 =0.64
option b
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