TABLE 10-14
a Problem with a Telephone Line That

question 63

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.
$$\begin{array}{l}\text { t- Test: Two- Sample Assuming Unequal Variances }\\\begin{array} { l r r } \hline & \text { Office 1 } & \text { Office 2 } \\\hline \text { Mean } & 2214 & 2.0115 \\\text { Variance } & 2.951657 & 3.57855 \\\text { Observations } & 20 & 20 \\\text { Hypothesized Mean Difference } & 0 & \\\mathrm { df } & 38 & \\\mathrm { t } \text { Stat } & 0.354386 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { one- tail } & 0.362504 & \\\mathrm { t } \text { Critical one- tail } & 1.685953 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { two- tail } & 0.725009 & \\\mathrm { t } \text { Critical two- tail } & 2.024394 &\end{array}\end{array}$$
-Referring to Table 10-14, state the null and alternative hypotheses for testing if there is evidence of a difference in the variability of the waiting time between the two offices.

• A) \( H_{0}: \sigma_{I}^{2}-\sigma_{I I}^{2} \geq 0 \) versus \( H_{1}: \sigma_{I}^{2}-\sigma_{I I}^{2}<0 \)
• B) \( H_{0}: \sigma_{I}^{2}-\sigma_{I I}^{2} \neq 0 \) versus \( H_{1}: \sigma_{I}^{2}-\sigma_{I I}^{2}=0 \)
• C) \( H_{0}: \sigma_{I}^{2}-\sigma_{I I}^{2} \leq 0 \) versus \( H_{1}: \sigma_{I}^{2}-\sigma_{I I}^{2}>0 \)
• D) \( H_{0}: \sigma_{I}^{2}-\sigma_{I I}^{2}=0 \) versus \( H_{1}: \sigma_{I}^{2}-\sigma_{I I}^{2} \neq 0 \)

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Definitions:

Superego

In Freudian psychoanalytic theory, the part of the personality that acts as a moral center, controlling the impulses of the id based on societal norms and values.

Ego

The component of personality in psychoanalytic theory that mediates between the demands of the id, superego, and reality.

Id

A term used in psychoanalytic theory to describe the part of the unconscious mind that contains our basic drives and instincts.

Primary Process

This term refers to the initial, unconscious way the mind operates to fulfill desires and satisfy basic needs through immediate gratification, according to Freudian psychology.