The following data are from a completely randomized design. Treatment ATreatment BTreatment C 324433 304336 304435 264636 324840Sample mean304536Sample variance6.004.006.50At the level of significance, can we reject the null hypothesis that the means of the three treatments are equal?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 .Use Fisher’s LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B.

Given data: Treatment A Treatment B Treatment C 32 44 33 30 43 36…

Answered: 30 43 36 30 44 35 26 46…

Math

Statistics

30 43 36 30 44 35 26 46 36 32 48 40 Sample mean 30 45 36 Sample variance 6.00 4.00 6.50

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

Problem 6CR

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Question

The following data are from a completely randomized design.

	Treatment A	Treatment B	Treatment C
	32	44	33
	30	43	36
	30	44	35
	26	46	36
	32	48	40
Sample mean	30	45	36
Sample variance	6.00	4.00	6.50

At the level of significance, can we reject the null hypothesis that the means of the three treatments are equal?
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 .
Use Fisher’s LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B.

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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