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Question: Assume your statistics instructor gave six examinations during the semester. You received the following grades (percent correct): 89, 78, 86, 88, 95, and 74. Instead of averaging the six scores, the instructor indicated he would randomly select two grades and report that grade to the student records office.

[A]   How many different samples of two test grades are possible?

[B]   List all possible samples of size two and compute the mean of each.

Calculate the mean of the sample means and compare it to the population mean. [Give your answers to 3 decimal places.]

The mean of the sample means is…
The population mean is…

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