# Estimating the confidence interval in the given case

The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean waiting time was 72 minutes, with a standard deviation of 28 minutes.

a. what is a 50 percent confidence interval for the actual mean waiting time?

b. what is a 99 percent confidence interval for the actual mean waiting time?

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#### Solution Preview

Please refer attached file for complete solution. Expressions typed with the help of equation writer are missing here.

a. What is a 50 percent confidence interval for the actual mean waiting time?

Sample mean=72 minutes

Sample standard deviation=s=28 minutes

Sample size=n= 100

Since sample size is greater than ...

#### Solution Summary

Solution describes the steps to estimate the confidence interval for the actual mean.