Question

A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Use α = 0.01. Which of the following is a correct statement about the means?
Middle School Teachers High School Teachers College Teachers
23 41 39
28 38 45
27 36 45
25 47 61
52 42 36
37 31 35

Answer 1

The correct statement that can be made about the means is a. There is not enough evidence to suggest that the means are different.

What is true about the means?

Given that α = 0.01, we can use an ANOVA analysis to determine the p-value of the means.

When we run the means through an ANOVA software, the p-value can be found to be 0.1142.

This figure is greater than α = 0.01.

This means that we do not have the evidence to reject the null hypothesis that the means are different.

Options for this question:

• a. There is not enough evidence to suggest that the means are different.
• b. The mean age of middle school teachers is different from the mean age of high school teachers.
• c. The mean age of middle school teachers is different from the mean age of college teachers.
• d. The mean age of high school teachers is different from the mean age of college teachers.

Find out more on the p-value at brainly.com/question/4621112

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