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 \( H_{1}: \sigma_{I}^{2}-\sigma_{I I}^{2} \neq 0 \)

Acknowledge how health perceptions impact subjective age and well-being.

Examine personality changes and stability in later life.

Analyze the impact of social interactions and supports on the well-being of older adults.

Understand the influence of religiosity and spirituality on mental health in late adulthood.

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Definitions:

Postconventional

A stage of moral development in which the individual's sense of morality is defined in terms of more abstract principles and values rather than conventional rules or authority figures.

Preliminary

Describes something that comes before the main event, subject, or activity, often serving as an initial or preparatory stage.

Sensitivity

The ability to detect or respond to slight changes, variations, or stimuli.

Muscular Strength

The ability of a muscle or group of muscles to exert force against resistance.