A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The following are samples of 20 problems reported to two different offices of a telecommunications company and the time to clear these problems (in minutes) from the customers’ lines: West Office East Office 1.52 4.55 1.75 3.75 0.78 0.10 2.85 1.10 0.52 0.60 1.60 0.52 4.15 3.30 3.97 2.10 1.48 0.58 3.10 4.02 1.02 0.76 1.53 0.47 0.93 0.79 1.60 0.61 0.80 1 1.05 0.61 6.32 0.76 3.93 0.47 5.45 0.73 0.97 0.95 Assuming the population variances from both offices are equal, is there evidence of a difference in the mean waiting time between the two offices? (Use alpha of 0.1) a. What are the null and alternate hypotheses? H0: H1: b. What is the level of significance? (Round your answer to 2 decimal places.) c. Compute the value of the test statistic? (Round your answer to 3 decimal places. Negative values should have a minus sign in front of them)
A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The following are samples of 20 problems reported to two different offices of a telecommunications company and the time to clear these problems (in minutes) from the customers’ lines:
| West Office | East Office |
| 1.52 | 4.55 |
| 1.75 | 3.75 |
| 0.78 | 0.10 |
| 2.85 | 1.10 |
| 0.52 | 0.60 |
| 1.60 | 0.52 |
| 4.15 | 3.30 |
| 3.97 | 2.10 |
| 1.48 | 0.58 |
| 3.10 | 4.02 |
| 1.02 | 0.76 |
| 1.53 | 0.47 |
| 0.93 | 0.79 |
| 1.60 | 0.61 |
| 0.80 | 1 |
| 1.05 | 0.61 |
| 6.32 | 0.76 |
| 3.93 | 0.47 |
| 5.45 | 0.73 |
| 0.97 | 0.95 |
Assuming the population variances from both offices are equal, is there evidence of a difference in the mean waiting time between the two offices? (Use alpha of 0.1)
a. What are the null and alternate hypotheses?
H0:
H1:
b. What is the level of significance? (Round your answer to 2 decimal places.)
c. Compute the value of the test statistic? (Round your answer to 3 decimal places. Negative values should have a minus sign in front of them)
d. Determine the p-value (Round your final answer to 4 decimal places.)
e. What is your decision regarding the null hypothesis?
multiple choice
-
Fail to reject the null.
-
Reject the null.
f. Interpret the result.
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