In Exercise 6.5-5, data are given for horsepower, the time it takes a car to go from 0

Chapter 9, Problem 9.6-12

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In Exercise 6.5-5, data are given for horsepower, the time it takes a car to go from 0 to 60, and the weight in pounds of a car, for 14 cars. Those data are repeated here: Horsepower 060 Weight Horsepower 060 Weight 230 8.1 3516 282 6.2 3627 225 7.8 3690 300 6.4 3892 375 4.7 2976 220 7.7 3377 322 6.6 4215 250 7.0 3625 190 8.4 3761 315 5.3 3230 150 8.4 2940 200 6.2 2657 178 7.2 2818 300 5.5 3518 (a) Let be the correlation coefficient of horsepower and weight. Test H0: = 0 against H1: = 0. (b) Let be the correlation coefficient of horsepower and 060. Test H0: = 0 against H1: < 0. (c) Let be the correlation coefficient of weight and 060. Test H0: = 0 against H1: = 0.

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