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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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