ASSIGNMENT 2: INFERENTIAL STATISTICS Each solution must include all steps involved in your response, you are required to show all the relevant calculations, provide an appropriate distribution curve illustration and provide a brief interpretation of the results. You are required to work in pairs for this assignment. Assignments must be typed, but graphs can be drawn. Questions 1 to 7 are worth 10 marks each 1. The Canada Mortgage and Housing Corporation wants to examine how much homeowners plan to spend on renovations in the next year. A simple random sample of 125 shoppers produces a mean of $750 with a standard deviation of $135. Based on the survey result, use alpha=.05 to provide a population mean estimate. Demonstrate how increasing alpha to .1 or decreasing alpha to .01 changes the estimate while holding the sample size constant. Explain the difference in the outcomes. 2. Housing researchers want to determine the rent paid for basement apartments in a low-income neighbourhood. A random sample of 15 apartment dwellers produces a mean rent paid of $855 per month, with a standard deviation of $95.50 Use a 90% confidence level to estimate the rents paid for basement apartments in this neighbourhood. How does this sample size influence the interpretation of the outcome? 3. Efforts to explain commuting habits leads the planning department to complete a survey of 156 people working in the downtown area. The results produce a mean one-way commute distance of 19.3 kilometers, with a standard deviation of 11.5 kilometers. Using a confidence coefficient of .95, estimate the mean for one-way commute distance. Demonstrate how increasing the sample size to 200 or decreasing the sample size to 50 would change this result while holding the confidence coefficient constant. Explain the change in results. 4. Neighbours are very upset over the opening of a new Burger Deluxe fast food joint because it has a noisy drive-through that generates undesirable traffic. The service time...
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