SCENARIO 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 \
\text { Variance } & 2.951657 & 3.57855 \
\text { Observations } & 20 & 20 \
\text { Hypothesized Mean Difference } & 0 & \
\text { df } & 38 & \
\text { t Stat } & 0.354386 & \
\text { P } ( T

Question

SCENARIO 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. $$\begin{array}{l}
\text { t-Test: Two-Sample Assuming Unequal Variances }\
\begin{array} { l r r } 
\hline & \text { Hotel 1 } & \text { Hotel 2 } \
\hline \text { Mean } & 2.214 & 2.0115 \
\text { Variance } & 2.951657 & 3.57855 \
\text { Observations } & 20 & 20 \
\text { Hypothesized Mean Difference } & 0 & \
\text { df } & 38 & \
\text { t Stat } & 0.354386 & \
\text { P } ( T < = t ) \text { one-tail } & 0.362504 & \
\text { t Critical one-tail } & 1.685953 & \
\text { P } ( \text { T } < \text { t) two-tail } & 0.725009 & \
\text { t Critical two-tail } & 2.024394 & \
\hline
\end{array}
\end{array}$$
-Referring to Scenario 10-13, suppose $\alpha$= 0.05.Which of the following represents the correct conclusion for a test on a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels?
A)There is no evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
B)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.
C)There is no evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.
D)There is evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.

Quizplus · Accepted Answer

The question asks about the difference in variabilities (variances), not the means. However, the provided data and analysis focus on the difference in means, not variances. The assumption made at the beginning that the population variances are not equal suggests that we cannot conclude there is no difference in variabilities based on this test. However, without a specific test for equality of variances (like Levene's test or an F-test for equal variances), we cannot directly assess the evidence about the variabilities from this output. The correct answer is chosen based on the information given and the nature of the question, which seems to misunderstand the provided statistical analysis.

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

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