A Consumer Advocate Decided to Investigate the Average Wait Time

A consumer advocate decided to investigate the average wait time for a table for one at two local restaurants.Eighteen customers were sent to each restaurant at the same randomly selected times and the times they waited for a table were recorded in minutes.The following sample data was obtained. $$\begin{array} { r r | l r } &\text { Restaurant } \mathrm { A } & \text { Restaurant } \mathrm { B } \\\hline 10 & 15 & 12 & 17 \\7 & 9 & 5 & 12 \\20 & 5 & 8 & 2 \\15 & 5 & 10 & 25 \\7 & 0 & 6 & 35 \\10 & 12 & 10 & 14 \\19 & 6 & 9 & 22 \\0 & 5 & 20 & 18 \\22 & 18 & 5 & 13\end{array}$$ Find a 95% confidence interval for the difference, $\mu _ { \mathrm { A } }$ - $\mu \mathrm { B }$ ,between the mean wait time at Restaurant A and the mean wait time at Restaurant B.

A) (-8.3,1.86)
B) (-1.86,8.3)
C) (-8.3,-1.86)
D) (-13.5,-10.28)
E) (10.28,13.5)

Correct Answer:

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