Question
Asked Jan 17, 2020
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Estimating Length Given below is a Minitab display resulting from two-way analysis of variance with sample data consisting of 18 different student visual estimates of the length of a classroom. The values are categorized according to sex and major (math, business, liberal arts). What do you conclude about an interaction between sex and major?

DF
Source
29.389 29.3009 0.78 0.395
5.0556 0.13 0.876
7.0556 0.19 0.832
Sex
10.111
Hajor
Interaction
14.111
12 453.333 37.7778
Error
17
506.944
Total
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DF Source 29.389 29.3009 0.78 0.395 5.0556 0.13 0.876 7.0556 0.19 0.832 Sex 10.111 Hajor Interaction 14.111 12 453.333 37.7778 Error 17 506.944 Total

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Expert Answer

Step 1

From the given Minitab output, it can be observed that the P-value corresponding to the interaction effect between sex and major is 0.832.

Decision rule:

Reject the null hypothesis when the P-value is lesser than the desired level of significance α. Otherwise, do not reject the null hypothesis.

Step 2

Here,

Null hypothesis: There is no interaction effect between sex and major.

Alternat...

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