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

Question 93

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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.  t-Test: Two-Sample Assuming Unequal Variances  Hotel 1  Hotel 2  Mean 2.2142.0115 Variance 2.9516573.57855 Observations 2020 Hypothesized Mean Difference 0 df 38 t Stat 0.354386 P(T<=t) one-tail 0.362504t Critical one-tail 1.685953P(T<=t) two-tail 0.725009t Critical two-tail 2.024394\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, which of the following represents the relevant hypotheses tested? a) H0:μI−μII≥0H _ { 0 } : \mu _ { I } - \mu _ { I I } \geq 0 versus H1:μI−μII<0H _ { 1 } : \mu _ { I } - \mu _ { I I } < 0
b) H0:μI−μII≤0H _ { 0 } : \mu _ { I } - \mu _ { I I } \leq 0 versus H1:μI−μII>0H _ { 1 } : \mu _ { I } - \mu _ { I I } > 0
c) H0:μI−μII=0H _ { 0 } : \mu _ { I } - \mu _ { I I } = 0 versus H1:μI−μII≠0H _ { 1 } : \mu _ { I } - \mu _ { I I } \neq 0
d) H0:μI−μII≠0H _ { 0 } : \mu _ { I } - \mu _ { I I } \neq 0 versus H1:μI−μII=0H _ { 1 } : \mu _ { I } - \mu _ { I I } = 0

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