Question

Select the correct answer from the drop-down menu. Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by .

3.5

15.5

19

110

Answer 1

Answer:

The population mean is the sum of the 12 data set values divided by 12:

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean = 186/12 = 15.5.

The sample mean is the sum of the 4 sample values divided by 4:

11 + 31 + 22 + 12 = 76.

Therefore the sample mean = 76/4 = 19.

The sample mean is more than the population mean by 19 - 15.5 = 3.5.

Step-by-step explanation: