Suppose your statistics instructor gave six examination during the semester. You

Question

Suppose your statistics instructor gave six examination during the semester. You received the following grades (percent correct): 92, 70, 84, 87, 90, and 75. Instead of averaging the six scores, the instructor indicated he would randomly select tree grades and compute the final percent correct based on the three percents. How many different samples, without replacement, of three test grades are possible? Compute the mean of the sample means and compute the mean of the sample means and compare it to the population mean

Explanation / Answer

A) HERE WE HAVE TO CHOOSE 3 OUT OF 6

SO THE TOTAL OPTIONS WE CAN CHOOSE = 6C3 = 6!/(3!*3!) = 20 WAYS

B) HERE BOTH THE SAMPLE MEAN AND THE POPULATION MEAN WILL BE SAME

= SUM OF ALL OBSERVATION/ TOTAL NUMBERS

= 498/6 = 83.

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