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): 84, 70, 83, 86, 94, and 77. Instead of averaging the six scores, the instructor indicated he would randomly select two grades and compute the final percent correct based on the two 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): 84, 70, 83, 86, 94, and 77. Instead of averaging the six scores, the instructor indicated he would randomly select two grades and compute the final percent correct based on the two percents.

Explanation / Answer

a) population size = 6

samples of size 2 possible = 6C2 = 15

b) Samples are (84,70) (84,83) (84,86) (84,94) (84,77) (70,83) (70,86) (70,94) (70,77) (83,86) (83,94) (83,77) (86,94) (86,77) (94,77)

c) The mean of sample mean = (77 + 83.5 + 85 + 89 + 80.5 + 76.5 + 78 + 82 + 73.5 + 84.5 + 88.5 + 80 + 90 + 81.5 + 85.5)/15 = 82.33

The population mean = 82.33

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