Following are the age and price data for Corvettes

 Corvette Prices. Following are the age and price data for Corvettes from Exercise 14.17. age 6 6 6 2 2 5 4 5 1 4 price 290 280 295 425 384 315 355 328 425 325 a. Obtain a point estimate for the mean price of all 4-year-old Corvettes. b. Determine a 90% confidence interval for the mean price of all 4-year-old Corvettes. c. Find the predicted price of a 4-year-old Corvette. d. Determine a 90% prediction interval for the price of a 4-year- old Corvette. Question2 14.85 Study Time and Score. Following are the data on to- tal hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.21. x 10 15 12 20 8 16 14 22 y 92 81 84 74 85 80 84 80 a. Determine a point estimate for the mean test score of all be- ginning calculus students who study for 15 hours. b. Find a 99% confidence interval for the mean test score of all beginning calculus students who study for 15 hours. c. Find the predicted test score of a beginning calculus student who studies for 15 hours. d. Determine a 99% prediction interval for the test score of a beginning calculus student who studies for 15 hours. Question3 Samples a-1,3,5 b-0,6,2,5,2 c-3,12,6,3 a. Obtain the sample mean and sample standard deviation of each of the three samples. b. Obtain SST, SSTR, andSSE by using the defining formulas and verify that the one-way ANOVA identity holds. c. Obtain SST, SSTR,andSSE by using the computing formulas. d. Construct the one-way ANOVA table. Qn4 8.7 Fuel Tank Capacity. Consumer Reports provides informa- tion on new automobile modelsâ??including price, mileage rat- ings, engine size, body size, and indicators of features. A simple random sample of 35 new models yielded the following data on fuel tank capacity, in gallons