A company is researching the effectiveness of a new website design to decrease t

Question

A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected and their times (in seconds) to access the website with the old and new designs were recorded. The results follow. 2. User Old Website Design New Website Design 30 45 25 32 28 15 20 10 25 20 a. What is the value of the test statistic to test for differences in the times? b. Let = 0.05. Is the mean time to access the new website design shorter, or is (time for the old design -time for the new design) greater than zero? Express er in terms of the null hypothesis.

Explanation / Answer

From the given data

14

We reject the null hypothesis as p-value is less than the significance level of 0.05.

There is sufficient evidence to conclude that new design is shorter.

Old New dbar 30 15 15 45 20 25 25 10 15 32 25 7 28 20 8 mean

14

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