A psychology program coordinator was interested in whether there was a differenc

Question

A psychology program coordinator was interested in whether there was a difference in salary for the mental health counseling graduates of her master’s degree program based on whether they obtained employment in (1) a sole proprietor private practice, (2) a group private practice, (3) hospitals or (4) government agencies. After analyzing the data for 90 recent graduates, the consultant noticed that the variation within groups was small relative to the the variation between sample means. Which of the following is the most correct interpretation of this data?

A. The F statistic will be relatively large, so it is likely that the researcher can conclude that the population means may be equal.

B. The F statistic will be relatively large, so it is likely that the researcher can conclude that the population means are not all equal.

C. The F statistic will be relatively small, so it is likely that the researcher can conclude that the population means may be equal.

D. The F statistic will be relatively small, so it is likely that the researcher can conclude that the population means are not all equal.

Explanation / Answer

F-statistic = Variance between the group / Variance within the group

As reseaarcher found variation within groups was small relative to the the variation between sample means

So  The F statistic will be relatively large, so it is likely that the researcher can conclude that the population means are not all equal.

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