Discuss the below:
The UNITE/MORI 2004 survey of student experiences estimated that university students in the UK paid on average $54 per week in accommodation costs.
Q: Assume that this average is based on a sample 755 students and that the population standard deviation for weekly accommodation costs is $ 11.
a. Construct a 90 per cent confidence interval estimate of the population mean.
b. Construct a 95 per cent confidence interval estimate of the population mean.
c. Construct a 99 per cent confidence interval estimate of the population mean.
d. Discuss what happens to the width of the confidence interval as the confidence level is increased. Does this result seem reasonable? Explain.