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A Local Restaurant Claims That the Waiting Time for Its

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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 α=0.05 .
n1=45n2=50x1=4.9 minutes x2=5.2 minutes s1=1.1 minutes s2=1.0 minute \begin{array} { l l } \mathrm { n } _ { 1 } = 45 & \mathrm { n } _ { 2 } = 50 \\\overline { \mathrm { x } } 1 = 4.9 \text { minutes } & \overline { \mathrm { x } } 2 = 5.2 \text { minutes } \\\mathrm { s } _ { 1 } = 1.1 \text { minutes } & \mathrm { s } _ { 2 } = 1.0 \text { minute }\end{array}

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