14 b. Compare the mean of the population to the mean of the sampling distributio

Question

14                     

b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.

The mean of thepopulation,_____, greater than, less than or equal to the mean of the sample means______?

0.0625

Sample Mean Probability 37 0.0625 34.5 0.125 32 0.0625 26.5 0.125 25.5 0.125 24 0.125 23 0.125 16 0.0625 15 0.125

14                     

b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.

The mean of thepopulation,_____, greater than, less than or equal to the mean of the sample means______?

0.0625

Explanation / Answer

14b)

The mean of the population is (37+32+16+14)/4 = 24.75.

Consider the table:

Thus, THEY ARE EQUAL. [ANSWER]

x P(x) x P(x) 37 0.0625 2.3125 34.5 0.125 4.3125 32 0.0625 2 26.5 0.125 3.3125 25.5 0.125 3.1875 24 0.125 3 23 0.125 2.875 16 0.0625 1 15 0.125 1.875 14 0.0625 0.875

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