Question

An Internet service provider states that the average number of hours its customers are online each day is 4.08. Suppose a random sample of 14 of the​ company's customers is selected and the average number of hours that they are online each day is measured. The sample results are shown in the accompanying table.

5.76	6.08	4.26	5.85	6.82	1.77	7.66
5.11	3.89	2.67	6.89	6.68	3.58	1.12

Based on the sample of 14​ customers, how much sampling error​ exists? Would you expect the sampling error to increase or decrease if the sample size was increased to​ 40?

Based on the sample of 14​ customers, how much sampling error​ exists?

The sampling error for the given sample = ​(Round to four decimal places as​ needed.)

Would you expect the sampling error to increase or decrease if the sample size were​ 40?

A. The sampling error would likely decrease because the sample size decreased.

B. The sampling error would likely increase because the sample size decreased.

C. The sampling error would likely increase because the sample size increased.

D. The sampling error would likely decrease because the sample size increased

Answer 1

sample std. dev. = 2.0329
Sampling error = 2.0329/sqrt(14) = 0.5433

If the sample size is increased, sampling error will decreaseD.
The sampling error would likely decrease because the sample size increased