In: Statistics and Probability
A market analyst wants to know if the new website he designed is showing increased page views per visit. A customer is randomly sent to one of two different websites, offering the same products, but with different designs. The accompanying table shows the data from five randomly chosen customers from each website. Assume that the data come from a distribution that is Normally distributed. Complete parts a through c below.
Website 1 | Website 2 |
11 | 8 |
6 | 12 |
14 | 4 |
5 | 5 |
3 | 7 |
) Find a 95% confidence interval for the mean difference,muμ1minus−muμ2,in page views from the two websites.eft parenthesis nothing comma nothing right parenthesis,
(Round to two decimal places as needed.)
b) Is 0 within the confidence interval?
No
YesYes
c) What does the confidence interval suggest about the null hypothesis that the mean difference is 0?
A.
Fail to rejectFail to reject
Upper H 0H0
since 0
is notis not
a plausible value for the true mean difference.
B.
RejectReject
Upper H 0H0
since 0
isis
a plausible value for the true mean difference.
C.
RejectReject
Upper H 0H0
since 0
is notis not
a plausible value for the true mean difference.
D.
Fail to rejectFail to reject
Upper H 0H0
since 0
isis
a plausible value for the true mean difference.
Solution: Here concept of confidence interval for difference in population means is used.