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 Iuml be the correlation coefficient of horsepower and weight Test H0 Iuml 0 against H1 Iuml 0 (b) Let Iuml be the correlation coefficient of horsepower and 060 Test H0 Iuml 0 against H1 Iuml (c) Let Iuml be the correlation coefficient of weight and 060 Test H0 Iuml 0 against H1 Iuml 0 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

Question: 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

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

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

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