Suppose your statistics instructor gave six examinations during the semester. Yo

Question

Suppose your statistics instructor gave six examinations during the semester. You received the following grades (percent correct): 85, 78, 88, 92, 95, and 71. Instead of averaging the six scores, the instructor indicated he would randomly select three grades and compute the final percent correct based on the three percents.

Compute the mean of the sample means and compare it to the population mean. (Round your answers to 3 decimal places.)

Suppose your statistics instructor gave six examinations during the semester. You received the following grades (percent correct): 85, 78, 88, 92, 95, and 71. Instead of averaging the six scores, the instructor indicated he would randomly select three grades and compute the final percent correct based on the three percents.

Explanation / Answer

a) Different samples =6!/(3!*3!) =20

c)below are the sample means

mean of the sample means is =84.833

population mean is =84.833

Both means are equal

x1 x2 x3 mean 85 78 88 83.67 85 78 92 85.00 85 78 95 86.00 85 78 71 78.00 85 88 92 88.33 85 88 95 89.33 85 88 71 81.33 85 92 95 90.67 85 92 71 82.67 85 95 71 83.67 78 88 92 86.00 78 88 95 87.00 78 88 71 79.00 78 92 95 88.33 78 92 71 80.33 78 95 71 81.33 88 92 95 91.67 88 92 71 83.67 88 95 71 84.67 92 95 71 86.00 total 1696.67 mean=total/20 84.833

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