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Chapter 12: Q8CQQ (page 566)

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?

Short Answer

Expert verified

As the p-value equal to 0.832 is greater than 0.05, it can be concluded that the interaction between sex and major has an insignificant effect on estimating the length of the classroom.

Step by step solution

01

Given information

The minitab result for the two-way analysis of variance is obtained to estimate the length of the classroom, using two factors, namely, sex and major.

02

Analysis of the two-way analysis of variance

The three sets of hypotheses that are tested using the two-way analysis of variance are

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

For examining the interaction effect,

the null hypothesis states that the interaction between sex and major has an insignificant effect on estimating the length of the classroom, and

the alternative hypothesis states that the interaction between sex and major has a significant effect on estimating the length of the classroom.

From the results, the value of the F-statistic for the interaction effect is 0.19.

The corresponding p-value is equal to 0.832.

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

Thus, it can be concluded that there is an insignificant interaction effect of sex and major on the length estimates.

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