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. Assume the two samples are random and independent. Use $\alpha$ α = 0.05 and a confidence interval to test the local bankʹs claim. $$\begin{array} { l } \text {Local Bank}\\\mathrm { n } _ { 1 } = 45 \\\overline { \mathrm { x } } _ { 1 } = 5.3 \text { minutes } \\\sigma _ { 1 } = 1.1 \text { minutes }\end{array}$$ $$\begin{array} { l } \text {Competitor Bank}\\\mathrm { n } _ { 2 } = 50 \\\bar { x } _ { 2 } = 5.6 \text { minutes } \\\sigma _ { 2 } = 1.0 \text { minute }\end{array}$$