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

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. $$\begin{array}{l}\text { t-Test: Two-Sample Assuming Unequal Variances }\\\begin{array} { l r r } \hline & { \text { Hotel 1 } } & { \text { Hotel 2 } } \\\hline \text { Mean } & 2.214 & 2.0115 \\\text { Variance } & 2.951657 & 3.57855 \\\text { Observations } & 20 & 20 \\\text { Hypothesized Mean Difference } & 0 & \\\text { df } & 38 & \\\text { t Stat } & 0.354386 & \\\text { P(T<=t) one-tail } & 0.362504 & \\\mathrm { t } \text { Critical one-tail } & 1.685953 & \\\mathrm { P } ( \mathrm { T } < = \mathrm { t } ) \text { two-tail } & 0.725009 & \\\mathrm { t } \text { Critical two-tail } & 2.024394 & \\\hline\end{array}\end{array}$$
-Referring to Scenario 10-13, what assumptions are necessary 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 to be valid?

A) Both sampled populations are normally distributed.
B) Both samples are random and independent.
C) Neither (a) nor (b) is necessary.
D) Both (a) and (b) are necessary.

Correct Answer:

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