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 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 “0–60.” Test H0: ρ = 0 against H1: ρ < 0.
(c) Let ρ be the correlation coefficient of weight and “0–60.” Test H0: ρ = 0 against H1: ρ ≠ 0.

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