Hello, 7 value: 0.00 points Suppose your statistics instructor gave six examinat

Question

Hello,

7 value: 0.00 points Suppose your statistics instructor gave six examinations during the semester. You received the following grades (percent correct): 84, 70, 83, 86, 94, ad 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 a. How many different samples, without replacement, of two test grades are possible? Different samples c. Compute the mean of the sample means and compare it to the population mean. (Round your answers to 3 decimal places.) The mean of the sample means is The population mean is Both means are Click to select)

Explanation / Answer

a)There are 6 tests and the number of ways to choose 2 is

6C2 = 6! / [(6-2)! * 2! ] = [ 6! / (4!*2!) ] = 15 ways.

c) Mean = sum of data / size of data

Mean = (84+70+83+86+94+77) / 6 = 494/6 = 82.333
the mean of the 6 samples will be 82.333
The population mean is 82.333
Both means are the same( sample mean = population mean ), meaning that all the possible samples of a given size will have the same mean as the population mean.

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