TABLE 10-14
a Problem with a Telephone Line That Prevents

question 119

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.
$$\begin{array}{l}\text { t- Test: Two- Sample Assuming Unequal Variances }\\\begin{array} { l r r } \hline & \text { Office 1 } & \text { Office 2 } \\\hline \text { Mean } & 2214 & 2.0115 \\\text { Variance } & 2.951657 & 3.57855 \\\text { Observations } & 20 & 20 \\\text { Hypothesized Mean Difference } & 0 & \\\mathrm { df } & 38 & \\\mathrm { t } \text { Stat } & 0.354386 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { one- tail } & 0.362504 & \\\mathrm { t } \text { Critical one- tail } & 1.685953 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { two- tail } & 0.725009 & \\\mathrm { t } \text { Critical two-tail } & 2.024394 & \\\hline\end{array}\end{array}$$
-Referring to Table 10-14, suppose ? = 0.05. Which of the following represents the correct conclusion?

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

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Definitions:

Slope

A measure of the steepness, incline, or grade of a line, typically determined by the ratio of the vertical change to the horizontal change.

Point C

In the context of economic models, Point C can represent a specific position on a graph, such as on a supply and demand curve or a production possibilities frontier, illustrating a particular economic condition or choice.

Slope

Measures the steepness, incline, or grade of a line on a graph, representing the rate of change of the variables plotted on the axes.

Indeterminate

An outcome or situation that cannot be definitively determined or predicted due to the presence of too many unknown variables.