# Confidence interval for mean

Suppose a sample of 50 is taken from a population with a standard deviation of 27 and that the sample mean is 86. Establish a 95.5% interval estimate for the population mean. Suppose, instead, that the sample size was 5000. Establish a 95.5% interval estimate for the population mean. Why might you prefer one estimate over the other?

© BrainMass Inc. brainmass.com June 3, 2020, 9:30 pm ad1c9bdddfhttps://brainmass.com/statistics/confidence-interval/computing-confidence-interval-mean-184969

#### Solution Preview

Please see the attachments.

Sampling

Suppose a sample of 50 is taken from a population with a standard deviation of 27 and that the sample mean is 86. Establish a 95.5% interval estimate for the population mean, Suppose, instead, that the sample size was 5000. Establish a 95.5% interval estimate for the population mean. ...

#### Solution Summary

Step-by-step method for computing confidence interval for mean is given in the answer.

$2.19