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. To compare the times, they computed new website design time − old website design time. The results are shown here. User Old Website Design New Website Design A 30 25 B 45 30 C 25 20 D 32 30 E 28 27 a) What is the value of the test statistic? A) 2.256 B) 1.895 C) 3.747 D) 2.447 b) For a 0.01 significance level, what is the critical value? A) −2.256 B) −1.895 C) −3.747 D) −2.447 c) For a 0.01 significance level, what is the decision regarding the hypothesis that the training was effective in improving customer relationships? A) Reject the null hypothesis and conclude that the new design reduced the mean access times. B) Reject the null hypothesis and conclude that the new design did not reduce the mean access times. C) Fail to reject the null hypothesis. D) Fail to reject the null hypothesis and conclude that the mean access times are inaccurate.
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. To compare the times, they computed new website design time − old website design time. The results are shown here.
|
User |
Old Website Design |
New Website Design |
|
A |
30 |
25 |
|
B |
45 |
30 |
|
C |
25 |
20 |
|
D |
32 |
30 |
|
E |
28 |
27 |
a) What is the value of the test statistic?
A) 2.256
B) 1.895
C) 3.747
D) 2.447
b) For a 0.01 significance level, what is the critical value?
A) −2.256
B) −1.895
C) −3.747
D) −2.447
c) For a 0.01 significance level, what is the decision regarding the hypothesis that the training was effective in improving customer relationships?
A) Reject the null hypothesis and conclude that the new design reduced the mean access times.
B) Reject the null hypothesis and conclude that the new design did not reduce the mean access times.
C) Fail to reject the null hypothesis.
D) Fail to reject the null hypothesis and conclude that the mean access times are inaccurate.
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