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Problem 6 pertains to the following data. Most car manufacturers recommend changing a vehicle's oil every 3,000 miles or every 3 months whichever occurs first. A study was conducted to check how well car owners follow this suggestion. Thirty-six car owners are sampled and the mileage between oil changes was recorded in Table 4.9.29 04 M productosham Mileage between Od Changes 3.903 3.722 3,729 3,565 3,798 3.853 3.732 3.835 3.544 3,917 3.898 3.735 3.843 3.898 3,682 3.560 3.777 1 3.874 3.855 3.529 3,947 3.718 3.781 . 3,690 3,532 3,574 3.775 3.774 3.782 3,727 3.719 3.759 3.918 3,799 3.770 3.852 Descriptive Statistics Count Mean Sample standard deviation Table 4.9 Proportion Oil Changes Score: Piede Miles 36 3.763 25 114.08 6. a. Would the mean mileage between oil changes of all car owners be considered a parameter or Satistic b. Would the sample mean be considered a parameter or statistic? c. One uses a to estimate or guess a d. Would the mean mileage of all the customers be considered a constant or variable prior to the sampling e. Wouki the sample mean be considered a constant or variable prior to the sampling 1. Do we know anything about the possible values that the sample mean could assume? Do we know any thing about the shape of the distribution of the possible values of the sample mean? What value would the possible sample means cetter aound? What allows us to know this information? 9. Calculate the standard error of the mean "What does this number measure? Standard Deviation (Help: The "standard error of the mean" SampleSize h. With a 95% surety, how far away do you think any of the possible sample means would be from the population mean mileage between oil changes? This measure is sometimes referred to as "the bound on error" or "margin of error." Margin of Error i. How large a sample would you have to take if you wanted the answer in Part (h) to be 25 miles Sample Size a