Test Hypotheses Regarding the Difference of Two Independent Means
-A $\alpha = 0.05$

Test Hypotheses Regarding the Difference of Two Independent Means
-A local restaurant claims that the waiting time for its patrons to be served is the lowest in the area. A competitor restaurant checks the waiting times at both restaurants. The sample statistics are listed below. Test the local restaurant's hypothesis. Use $\alpha = 0.05$ .
$\begin{array} { l l } \text { Local Restaurant } & \text { Competitor Restaurant } \\ \mathrm { n } _ { 1 } = 45 & \mathrm { n } _ { 2 } = 50 \\ \overline { \mathrm { x } } 1 = 5.7 \text { minutes } & \overline { \mathrm { x } } 2 = 6 \text { minutes } \\ \mathrm { s } _ { 1 } = 1.1 \text { minutes } & \mathrm { s } 2 = 1.0 \text { minute } \end{array}$