A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths follow. (one-way ANOVA) Bolt Chemical 1 2 3 4 5 1 50 45 51 48 44 2 50 44 52 49 47 3 52 45 55 50 45 4 50 48 52 52 46 (a) Analyze the data from this experiment (use α = 0.05) and draw appropriate conclusions. (b) Use the Tukey's test with α = 0.05 to make comparisons between pairs of means. (c) Use the Fisher LSD method with α = 0.05 to make comparisons between pairs of means.

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Author:Amos Gilat
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A chemist wishes to test the effect of four chemical agents on the strength of a particular type
of cloth. Because there might be variability from one bolt to another, the chemist decides to
use a randomized block design, with the bolts of cloth considered as blocks. She selects five
bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths
follow. (one-way ANOVA)
Bolt
Chemical 1
2
3
4
5
1
50
45
51
48
44
2
50
44
52
49
47
3
52
45
55
50
45
4
50
48
52
52
46
(a) Analyze the data from this experiment (use α = 0.05) and draw appropriate conclusions.
(b) Use the Tukey's test with α = 0.05 to make comparisons between pairs of means.
(c) Use the Fisher LSD method with α = 0.05 to make comparisons between pairs of means.
Transcribed Image Text:A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths follow. (one-way ANOVA) Bolt Chemical 1 2 3 4 5 1 50 45 51 48 44 2 50 44 52 49 47 3 52 45 55 50 45 4 50 48 52 52 46 (a) Analyze the data from this experiment (use α = 0.05) and draw appropriate conclusions. (b) Use the Tukey's test with α = 0.05 to make comparisons between pairs of means. (c) Use the Fisher LSD method with α = 0.05 to make comparisons between pairs of means.
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