select the correct answer from the drop - down menu. consider this population data set: 4, 6, 7, 11, 12, 18…

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

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

Answer

Explanation:

Step1: Calculate population mean

The population data set is (4,6,7,11,12,18,26,23,14,31,22,12). The sum of the population data is (4 + 6+7+11+12+18+26+23+14+31+22+12=186). There are (n = 12) data - points. The population mean (\mu=\frac{186}{12}=15.5).

Step2: Calculate sample mean

The sample data set is (11,31,22,12). The sum of the sample data is (11 + 31+22+12=76). There are (m = 4) data - points. The sample mean (\bar{x}=\frac{76}{4}=19).

Step3: Find the difference

The difference between the sample mean and the population mean is (19−15.5 = 3.5).

Answer:

(3.5)