Question

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 data sets contain samples I have 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 1 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 2 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

A.)At the 0.05 level of significance, is there evidence of a difference in the variability of the time to clear problems between the two central offices?

B.)Determine the p-value and interpret its meaning.

C.)What assumption do you need to make in (a) about the two populations in order to justify your use of the F test?

D.)Based of the results of (a) and (b), which t test defined in Section 10.1 should you use to compare the mean time to clear problems in the two central offices?

Answer 1

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