# DFSource29.389 29.3009 0.78 0.3955.0556 0.13 0.8767.0556 0.19 0.832Sex10.111HajorInteraction14.11112 453.333 37.7778Error17506.944Total

Question
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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?

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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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