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): 88, 64, 83, 89, 95, and 70. 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): 88, 64, 83, 89, 95, and 70. 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

Solution:-

88, 64, 83, 89, 95, and 70

a) Many different samples, without replacement, of two test grades are possible = 6C2 = 15

Different samples = (88, 64), (88, 83), (88, 89), (88, 95), (88, 70), (64, 83), (64, 89), (64, 95), (64, 70), (83, 89), (83, 95), (83, 70), (89, 95), (89, 70), (95, 70)

c) The mean of the sample means and population mean is equal.

Sample means = 76, 85.5, 88.5, 91.5, 79, 73.5, 76.5, 79.5, 67, 86, 89, 76.5, 92, 79.5, 82.5

Population mean = 81.5

Sample mean = 81.5

Both means are equal.

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