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

question 135

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 evidence of a difference in the variability of the waiting time between the two offices.
• B) There is no evidence that the variability of the waiting time between the two offices are the same.
• C) There is no evidence of a difference in the variability of the waiting time between the two offices.
• D) There is evidence that the variability of the waiting time between the two offices are the same.

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Definitions:

Null Hypothesis

A statement in statistical inference that proposes there is no significant effect or relationship between two measured phenomena.

Randomness Conjecture

A proposition suggesting that specific systems or sequences cannot be predicted due to their inherent randomness.

Affirmation of Chance

The acknowledgment of the role of randomness or unpredictability in events or outcomes.

Peer Review Process

The peer review process is a critical evaluation method used in academia and industries to assess the quality and validity of manuscripts or projects by other experts in the same field.