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:

(a) Let ρ be the correlation coefficient of horsepower and weight. Test H0: ρ = 0 against H1: ρ ‰  0.
(b) Let ρ be the correlation coefficient of horsepower and €œ0€“60.€ Test H0: ρ = 0 against H1: ρ (c) Let ρ be the correlation coefficient of weight and €œ0€“60.€ Test H0: ρ = 0 against H1: ρ ‰  0.

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Horsepower 0-60 Weight Horsepower 0-60 Weight 230 225 375 322 190 150 178 8.1 3516 7.8 3690 4.7 2976 6.6 4215 8.4 3761 8.4 2940 7.2 2818 282 300 220 250 315 200 300 6.2 3627 6.4 3892 7.7 3377 7.0 3625 5.3 3230 6.2 2657 5.5 3518