A market analyst wants to know if the new website he designe

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 table shows the data from five randomly chosen customers from each website. Assume that the data come from a distribution that is normally distributed. Find a - c below

Website 1

8

4

11

7

5

Website 2

9

11

5

3

6

a) Find a 95% confidence interval for the mean difference, u₁ - u₂, in page views from the two websites. (Show work and round to two decimal places)

b) Is 0 within the confidence interval?

c) What does the confidence interval suggest about the null hypothesis that the mean difference is 0?

(Fail to reject or Reject and is plausible or not plausible)

Solution

a)
CI = x1 - x2