In: Statistics and Probability
A simple random sample with n=54 provided a sample mean of 24 and a sample standard deviation of 4.3 .
a. Develop a 90% confidence interval for the population mean (to 1 decimal).
b. Develop a 95% confidence interval for the population mean (to 1 decimal).
c. Develop a 99% confidence interval for the population mean (to 1 decimal).
What happens to the margin of error and the confidence interval as the confidence level is increased?