The average cost per night of a hotel room in NYC is $472. Assume this estimate is based on a sample of 75 hotel space and that the sample standard deviation is $54.

(Please note that this problem uses the t-distribution. Zero points will be awarded if you use the standard normal (z) distribution.

A. At 90% confidence, what is the interval estimate for the population mean?

B. At 95% confidence, what is the interval estimate for the population mean?

C. At 99% confidence, what is the interval estimate for the population mean?

D. Describe the effect of a higher confidence level on the margin of error.

E. What could you do to the sample size to avoid using the t-distribution?