Tire Kingdom installs automobile tires on a first-come, first-served basis. A random sample of 35 customers experienced an average wait time of 55 minutes. Assume that the standard deviation of total wait time for all customers is 15 minutes. (a) Determine the 90% confidence interval estimate of the mean wait time. (5 pts) (b) Determine the 99% confidence interval estimate of the mean wait time. (5 pts) (c) Tire Kingdom claims that the average wait time of all customers is 45 minutes. Is this claim supported by the confidence intervals you calculated? Why or why not? (2 pts) (d) Determine the necessary sample size to construct a 99% confidence interval with a margin of error of less than 5 minutes. (3 pts) Perform all of your calculations in an Excel spreadsheet. Clearly label the answers to the questions. Please include your name in the upper left corner. Upload the file containing your work