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TABLE 10-14
a Problem with a Telephone Line

Question 162

Multiple Choice

TABLE 10-14
A problem with a telephone line that prevents a customer from receiving or making calls is disconcerting to both the customer and the telephone company. The data on samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines are collected. Below is the Excel output to see whether there is evidence of a difference in the mean waiting time between the two offices assuming that the population variances in the two offices are not equal.
 t- Test: Two- Sample Assuming Unequal Variances  Office 1  Office 2  Mean 22142.0115 Variance 2.9516573.57855 Observations 2020 Hypothesized Mean Difference 0df38t Stat 0.354386P(T<=t)  one- tail 0.362504t Critical one- tail 1.685953P(T<=t)  two- tail 0.725009t Critical two-tail 2.024394\begin{array}{l}\text { t- Test: Two- Sample Assuming Unequal Variances }\\\begin{array} { l r r } \hline & \text { Office 1 } & \text { Office 2 } \\\hline \text { Mean } & 2214 & 2.0115 \\\text { Variance } & 2.951657 & 3.57855 \\\text { Observations } & 20 & 20 \\\text { Hypothesized Mean Difference } & 0 & \\\mathrm { df } & 38 & \\\mathrm { t } \text { Stat } & 0.354386 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { one- tail } & 0.362504 & \\\mathrm { t } \text { Critical one- tail } & 1.685953 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { two- tail } & 0.725009 & \\\mathrm { t } \text { Critical two-tail } & 2.024394 & \\\hline\end{array}\end{array}
-Referring to Table 10-14, suppose ? = 0.1. Which of the following represents the correct conclusion?


A) There is not enough evidence of a difference in the mean waiting time between the two offices.
B) There is enough evidence of a difference in the mean waiting time between the two offices.
C) There is enough evidence that the mean waiting time between the two offices are the same.
D) There is not enough evidence that the mean waiting time between the two offices are the same.

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