A Local Bank Claims That the Waiting Time for Its $\alpha$

Essay

A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor
bank checks the waiting times at both banks. Test the local bankʹs claim using α $\alpha$ = 0.05. Assume the two
samples are random and independent.
$\begin{array} { l l }\text {Local Bank}&\text {Competitor Bank}\\ \mathrm { n } _ { 1 } = 45 & \mathrm { n } _ { 2 } = 50 \\ \overline { \mathrm { x } } 1 = 5.6 \text { minutes } & \overline { \mathrm { x } } 2 = 5.9 \text { minutes } \\ \sigma _ { 1 } = 1.1 \text { minutes } & \sigma _ { 2 } = 1.0 \text { minute } \end{array}$