Question: An engineer examines the relationship between the weight of a car and its average miles per gallon (MPG). For a sample of 100 cars, he

An engineer examines the relationship between the weight of a car and its average miles per gallon (MPG). For a sample of 100 cars, he calculates a Spearman rank correlation coefficient of -0.60.

a. Specify the competing hypotheses to determine whether the Spearman rank correlation coefficient is less than zero.

b. Assume that the distribution of rs is approximately normal. Calculate the value of the test statistic and the p-value.

c. At the 5% significance level, does a negative relationship exist between a car's weight and its average MPG?

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