Question

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

Short answer

As the p-value equal to 0.395 is greater than 0.05, it can be concluded that the factor of sex does not significantly affect the visual estimation of the length of the classroom.

Step-by-step solution

Given information

The two-way analysis of variance results is shown through the minitab output for estimating the class length using sex and major for 18 students.

Refer to Exercise 8.

Analysis of the two-way analysis of variance

The following three effects are analyzed on the target variable, here, estimates.

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

The null hypothesis to test the significance of the effect of sex is as follows.

There is no significant effect of sex on the length estimates of the classroom.

The value of the F-statistic for the factor ‘sex’ is equal to 0.78.

The corresponding p-value is equal to 0.395.

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 sex has a significant effect on length estimates.