Question

A sample size of 56 with x=62.2 and s=18.1 is used to estimate a population mean mu.Find the 99.5% confidence interval for mu.

Answer 1

Sample data is given as- and we need to calculate the 99.5% confidence interval for population mean .

Confidence interval for population mean is given as-

Calculation for 99.5% confidence interval for population mean :

                                            

                                            

                                            

                                            

So, the 99.5% confidence interval for the population mean is .

We say that we are 99.5% confident that the confidence interval contains the true population mean or we can write it as