Question $14(2$ points$)$

Historically, the average time to service a customer complaint has been $6$ days and the standard deviation has been $0\mathrm{.}70$ day. Management would like to specify the control limits for an $\stackrel{}{x}($x$-$bar$)$ chart with a sample size of $7$ and $2-$sigma limits$.$ The LCL for the chart would be:

less than or equal to $4\mathrm{.}50$

greater than $4\mathrm{.}50$ but less than or equal to $5\mathrm{.}0.$

greater than $5\mathrm{.}0$ but less than or equal to $5\mathrm{.}50.$

greater than $5\mathrm{.}50$ but less than or equal to $6\mathrm{.}0.$

The standard deviation of sampling is needed to answer.

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