# A random sample of 49 lunch customers was taken at a restaurant

A random sample of 49 lunch customers was taken at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.

1-Compute the standard error of the mean.

2-With a .95 probability, what statement can be made about the size of the margin of error?

3-Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant.

4-With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?

(550 words)

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