(In some of the exercises that follow, we must

Chapter 9, Problem 5E

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QUESTION:

A psychology student was interested in testing how food consumption by rats would be affected by a particular drug. She used two levels of one attribute, namely, drug and placebo, and four levels of a second attribute, namely, male (M), castrated (C), female (F), and ovariectomized (O). For each cell, she observed five rats. The amount of food consumed in grams per 24 hours is listed in the following table:

(a) Use the \(5 \%\) significance level and test \(H_{A B}: \gamma_{i j}=0\), \(i=1,2, j=1,2,3,4\).

(b) Use the \(5 \%\) significance level and test \(H_{A}: \alpha_{1}=\) \(\alpha_{2}=0\).

(c) Use the \(5 \%\) significance level and test \(H_{B}: \beta_{1}=\beta_{2}=\) \(\beta_{3}=\beta_{4}=0\).

(d) How could you modify this model so that there are three attributes of classification, each with two levels?

Equation Transcription:

,

 

Text Transcription:

5%

H_AB:gamma_ij=0, i=1,2,j=1,2,3,4

H_A:alpha_1= alpha_2=0

H_B:beta_1=beta_2= beta_3=beta_4=0

Questions & Answers

QUESTION:

A psychology student was interested in testing how food consumption by rats would be affected by a particular drug. She used two levels of one attribute, namely, drug and placebo, and four levels of a second attribute, namely, male (M), castrated (C), female (F), and ovariectomized (O). For each cell, she observed five rats. The amount of food consumed in grams per 24 hours is listed in the following table:

(a) Use the \(5 \%\) significance level and test \(H_{A B}: \gamma_{i j}=0\), \(i=1,2, j=1,2,3,4\).

(b) Use the \(5 \%\) significance level and test \(H_{A}: \alpha_{1}=\) \(\alpha_{2}=0\).

(c) Use the \(5 \%\) significance level and test \(H_{B}: \beta_{1}=\beta_{2}=\) \(\beta_{3}=\beta_{4}=0\).

(d) How could you modify this model so that there are three attributes of classification, each with two levels?

Equation Transcription:

,

 

Text Transcription:

5%

H_AB:gamma_ij=0, i=1,2,j=1,2,3,4

H_A:alpha_1= alpha_2=0

H_B:beta_1=beta_2= beta_3=beta_4=0

ANSWER:

Step 1 of 6

Given:

The amount of food consumed by rats under two levels of one attribute (A, drug and placebo, and four levels of second attribute (B), male (M), female (F), castrated (C), ovariectomized (O)is given in the form of a table below:

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