Question

Consider the population below. 36 18 19 15 26 36 27 28 25 37 14 27...

Consider the population below.

36 18 19 15 26 36 27 28
25 37 14 27 14 26 14

The sample below was drawn from this population. Complete parts a and b below.

26 36 14 25 14 27 18 14.

a. Compute the sampling error for the sample mean in this situation.

The sampling error for the sample mean is____​(Round to two decimal places as​ needed.)

b. Determine the largest possible sampling error for this sample of equals=8.

The largest possible sampling error is____(Round to two decimal places as​ needed.)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Sampling error = Sample mean - population mean

a. population mean = 24.13, sample mean = 21.75

sampling error = -2.38.

b. largest possible sampling error occurs when we take the larger sample values, in this case, we can choose the sample values starting from the maximum value till the 8th maximum since we have to choose 8 samples. Choosing the sample values as:

37, 36, 36, 28, 27, 26, 26, 25.

For this sample, the sample mean = 30.125. Hence the maximum possible sampling error = 30.125 - 24.133 = 5.992 = 6 (round to two decimal places).

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