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 file Phone contains 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 Central Office I Time to Clear Problems (minutes) 1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10 1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97 Central Office II Time to Clear Problems (minutes) 7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02 3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72 Perform a hypothesis test to determine if there’s evidence in this data of a difference in
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 file Phone contains 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
Central Office I Time to Clear Problems (minutes)
1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10
1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97
Central Office II Time to Clear Problems (minutes)
7.55 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02
3.75 0.65 1.92 0.60 1.53 4.23 0.08 1.48 1.65 0.72
Perform a hypothesis test to determine if there’s evidence in this data of a difference in the mean waiting time between the two offices by answering the following questions:
(a) What are the null and alternate hypotheses for this test?
(b) Assuming that the population variances from both offices are equal, what is the value of the test statistic?
(c) Using the critical value approach, is there evidence of a difference in the mean waiting time between the two offices? (Use α = 0.05.) (Answer this using complete sentences and be sure to include what decision rule you used to arrive at your conclusion.)
(d) Find the p-value in (c) and interpret its meaning.
(e) What assumption (other than equal variances) is necessary in (c)?
(f) Assuming that the population variances from both offices are equal, construct and interpret a 95% confidence
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