Excel Worksheet 4-Math 243-Winter 2017 (Total: 24 points) Instructions: Please create two sheets in one Excel file. Label one sheet \"Problem 1\" and label the second sheet \"Problem 2.\" Your solutions to the two problems should be recorded on the corresponding sheet. Additionally, you should clearly label each part of the problems with (a), (b), etc., and every computation should be labeled. For example, in the cell next to the mean of the data, you should have typed the word mean or average. Please make sure to do your computations using Excel. Do not do computations using Table A or on a calculator and then type the answers into Excel. 1. Cheap-As-Dirt Rental Company advertises that the average cost of a rental they find for undergraduate students at the University of Oregon is $540 with a standard deviation of $75 (Let us assume the rents are approximately Normally distributed.) The Department of Consumer Protection will investigate the company if, when they choose a sample of students, they find that the average rental cost for those students is $610 or more. (a) (4 points) Assuming that the company is advertising truthfully, what is the probability that the company will be investigated if the Department of Consumer Protection only samples one client? (b) (4 points) Assuming that the company is advertising truthfully, what is the probability that the company will be investigated if the Department of Consumer Protection samples 10 clients? (c) (4 points) Assuming that the company is advertising truthfully, what is the probability that the company will be investigated if the Department of Consumer Protection samples 50 clients? 2. In New York City in the late 1970s and early 1980s, parking meter collections averaged $1.75 million per month with a standard deviation of $302 thousand per month. Assume that the amount generated per month is Normal with the mean and standard deviation from the previous sentence. For about two years the city hired Brink's Inc. to do collections instead. The data file gives the collections that Brink's reported to the city during that period. (a) (2 points) What is the sample size for this data? (b) (4 points) What is the sample mean? (c) (6 points) The city was concerned that Brink's was stealing money from the parking meter receipts. Assume that this sample of months is like a random sample. Given your answers to the first two parts, what is the probability of a sample at least as far below the mean as the sample from the period of the Brink's contract? The data file gives the collections that Brink's reported to the city during two-year period. 1330143 1525370 1312257 1494717 1385822 1557598 1469066 1547011 1565671 1124576 1773806 1652490 1744558 1678286 1636597 1738847 1576383 1846508 1746899 1685611 1794467 1695017 1671626 1566107 eriod