(In some of the exercises that follow, we must
Chapter 9, Problem 3E(choose chapter or problem)
We wish to compare compressive strengths of concrete corresponding to \(a = 3\) different drying methods (treatments). Concrete is mixed in batches that are just large enough to produce three cylinders. Although care is taken to achieve uniformity, we expect some variability among the \(b = 5\) batches used to obtain the following compressive strengths (there is little reason to suspect interaction; hence, only one observation is taken in each cell):
(a) Use the \(5 \%\) significance level and test \(H_{A}: \alpha_{1}=\alpha_{2}=\) \(\alpha_{3}=0\) against all alternatives.
(b) Use the \(5 \%\) significance level and test \(H_{B}: \beta_{1}=\beta_{2}=\) \(\beta_{3}=\beta_{4}=\beta_{5}=0\) against all alternatives. (See Ledolter and Hogg in References.)
Equation Transcription:
Text Transcription:
a=3
b=5
5%
H_A:alpha_1=alpha_2= alpha_3=0
H_B:beta_1=beta_2= beta_3=beta_4=beta_5=0
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