A researcher wishes to determine whether there is a difference in the average ag

Question

A researcher wishes to determine whether there is a difference in the average age of middle school, highschool, and college teachers. Teachers are randomly selected. Their ages are recorded below. Use = 0.01.Which of the following is a correct statement about the means?

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.

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

Explanation / Answer

The one way ANOVA output from software is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Since p - value is greater than 0.01, do not reject Ho. Hence,

There is not enough evidence to suggest that the means are different.

Option A is correct.

Column n Mean Std. Dev. Std. Error Middle School Teachers 6 32 10.917875 4.4572039 High School Teachers 6 39.166667 5.492419 2.2422707 College Teachers 6 43.5 9.5864488 3.9136513

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