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

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Test Hypotheses Regarding the Difference of Two Independent Means
-A local supermarket claims that the waiting time for its customers to be served is the lowest in the area. A competitor's supermarket checks the waiting times at both supermarkets. The sample statistics are listed below. Test the local supermarket's hypothesis. Use α=0.05\alpha = 0.05 .
Local Supermarket Competitor Supermarket
n1=15n2=16x1=5.3 minutes x2=5.6 minutes s1=1.1 minutes s2=1.0 minutes \begin{array} { l l } \mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 16 \\\overline { \mathrm { x } } 1 = 5.3 \text { minutes } & \overline { \mathrm { x } } 2 = 5.6 \text { minutes } \\\mathrm { s } _ { 1 } = 1.1 \text { minutes } & \mathrm { s } _ { 2 } = 1.0 \text { minutes }\end{array}

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