TABLE 10-13
the Amount of Time Required to Reach a Customer

TABLE 10-13
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal.
$$\begin{array}{l}\text { t-Test: Two-Sample Assuming Unequal Variances }\\\begin{array} { l r r } \hline & \text { Hotel 1 } &{ \text { Hotel 2 } } \\\hline \text { Mean } & 2.214 & 2.0115 \\\hline \text { Variance } & 2.951657 & 3.57855 \\\text { Observations } & 20 & 20 \\\hline \text { Hypothesized Mean Difference } & 0 & \\\hline \text { df } & 38 & \\\hline \text { t Stat } & 0.354386 & \\\hline \text { P(T <=t) one-tail } & 0.362504 & \\\text { t Critical one-tail } & 1.685953 & \\\hline \text { P(T<=t) two-tail } & 0.725009 & \\\text { t Critical two-tail } & 2.024394 & \\\hline\end{array}\end{array}$$
-Referring to Table 10-13, state the null and alternative hypotheses for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.

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