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A Local Supermarket Claims That the Variance of Waiting Time α=0.05\alpha = 0.05

Question 33

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A local supermarket claims that the variance of waiting time for its customers to be served is the lowest in the area. A competitor supermarket checks the waiting time at both supermarkets. The sample statistics are listed below. Test the local bank's hypothesis. Use α=0.05\alpha = 0.05 .
Local Supermarket Competitor Supermarket
n1=13n2=16 s1=0.99 minutes s2=1.17 minutes \begin{array} { l l } \mathrm { n } _ { 1 } = 13 & \mathrm { n } 2 = 16 \\\mathrm {~s} _ { 1 } = 0.99 \text { minutes } & \mathrm { s } _ { 2 } = 1.17 \text { minutes }\end{array} Assume the samples were randomly selected from normal populations.

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