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# Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of $65$ weekly reports showed a sample mean of $19.5$ customer contacts per week. The sample standard deviation was $5.2.$ Provide $90\%$ and $95\%$ confidence intervals for the population mean number of weekly customer contacts for the sales personnel.

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We have given:

• sample size of $n=65$,
• sample mean of $\bar x=19.5$
• sample standard deviation of $s=5.2$.

Our task will be to obtain a $95\%$ and $90\%$ confidence interval for the population mean, based on these data.

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