The following data are from a completely randomized design. Sample mean Sample variance Treatment Treatment A B 33 29 29 27 32 30 6.00 45 44 44 47 50 46 6.50 Treatment C 32 37 36 37 33 35 5.50 (a) At the α = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? (b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use α = 0.05. (c) Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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The following data are from a completely randomized design.
Sample mean
Sample variance
Treatment
A
33
29
29
27
32
30
6.00
Treatment
B
45
44
44
47
50
46
6.50
Treatment
с
32
37
36
37
33
35
5.50
(a) At the α = 0.05 level of significance, can we reject the null hypothesis that the means of the three
treatments are equal?
(b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for
treatments A and B, treatments A and C, and treatments B and C. Use α = 0.05.
(c) Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the
means of treatments A and B.
Transcribed Image Text:Tutorial Exercise You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Sample mean Sample variance Treatment A 33 29 29 27 32 30 6.00 Treatment B 45 44 44 47 50 46 6.50 Treatment с 32 37 36 37 33 35 5.50 (a) At the α = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? (b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use α = 0.05. (c) Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B.
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