Question

Estimating Length Using the same results displayed in Exercise 8, does it appear that the length estimates are affected by the subject’s major?

Short answer

As the p-value equal to 0.13 is greater than 0.05, it can be concluded that the factor ‘major’ does not have a significant effect on the visual estimation of the length of the classroom.

Step-by-step solution

Step 1

Refer to Exercise 8 for the minitab output.

Analysis of the two-way analysis of variance

The hypotheses analyzed in the two-way analysis of variance test are as follows.

• Effect of the interaction term.
• Effect of factor 1, sex
• Effect of factor 2, major

The null hypothesis to test the effect of factor 2, major, is as follows.

There is no significant effect of major on the visual estimates of the class length.

The value of the F-statistic for the factor ‘major’ is equal to 0.13.

The corresponding p-value is equal to 0.876.

As the p-value is greater than 0.05, the null hypothesis is failed to reject.

Thus, there is not enough evidence to conclude that the type of major has a significant effect on the length estimates.