Question
A market research firm believes a new color scheme for a client's website causes a change in the time spent reading the site. The firm
A market research firm believes a new color scheme for a client's website causes a change in the time spent reading the site. The firm randomly selected 6 of the pages on their client's site, and used the new color scheme on Saturday and theold color scheme on Sunday. The average time in minutes that people spent on each of the 6 pages was recorded. The results (in minutes) are shown in the following table.
Note: d=(Old color schemeNew color scheme)
Old color scheme | New color scheme |
---|---|
15 | 16 |
20 | 22 |
17 | 19 |
16 | 21 |
38 | 43 |
29 | 39 |
Assume that both of the populations are normally distributed. At the 0.10 level of significance, is there sufficient evidence to show that there is a change in average amount of time spent on the site when the new color scheme is used?
Use the test statistic 3.08 and the critical values 2.015 to draw a conclusion and interpret the results of this hypothesis test.
Select the correct answer below:
Reject the null hypothesis. There is not sufficientevidence to show that there is a change in average amount of time spent on the site when the new color scheme is used.
Fail to reject the null hypothesis. There is sufficientevidence to show that there is a change in average amount of time spent on the site when the new color scheme is used.
Reject the null hypothesis. There is sufficientevidence to show that there is a change in average amount of time spent on the site when the new color scheme is used.
Fail to reject the null hypothesis. There is not sufficientevidence to show that there is a change in average amount of time spent on the site when the new color scheme is used.
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