An Internet service provider states that the average number of hours its custome
ID: 3181367 • Letter: A
Question
An Internet service provider states that the average number of hours its customers are online each day is 3.14. 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. Complete parts a and b below.
2.33 5.05 4.22 7.49 1.65 5.19 7.96 7.09 5.69
1.93 5.26 1.72 5.05 1.13
a. Based on the sample of 14 customers, how much sampling error exists?
The sampling error for the given sample is ___(Round to four decimal places as needed.)
b. Would you expect the sampling error to increase or decrease if the sample size were 40?
A.The sampling error would likely increase because the sample size decreased.
B.The sampling error would likely decrease because the sample size increased.
C.The sampling error would likely decrease because the sample size decreased.
D.The sampling error would likely increase because the sample size increased
Explanation / Answer
Answer:
An Internet service provider states that the average number of hours its customers are online each day is 3.14. 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. Complete parts a and b below.
2.33 5.05 4.22 7.49 1.65 5.19 7.96 7.09 5.69
1.93 5.26 1.72 5.05 1.13
a. Based on the sample of 14 customers, how much sampling error exists?
Descriptive statistics
data
n
14
mean
4.4114
sample standard deviation
2.3069
sample variance
5.3219
standard error of the mean
0.6165
Se= sd/sqrt(n) =2.3069/sqrt(14) =0.6165
The sampling error for the given sample is 0.6165 (Round to four decimal places as needed.)
b. Would you expect the sampling error to increase or decrease if the sample size were 40?
A.The sampling error would likely increase because the sample size decreased.
Answer: B.The sampling error would likely decrease because the sample size increased.
C.The sampling error would likely decrease because the sample size decreased.
D.The sampling error would likely increase because the sample size increased
Descriptive statistics
data
n
14
mean
4.4114
sample standard deviation
2.3069
sample variance
5.3219
standard error of the mean
0.6165
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.