Goldie’s Billiards, Inc., is a retailer of billiard supplies.

It stands out among billiard suppliers because of the research it does to assure its products are top notch.

One experiment was conducted to measure the speed a cue ball attains when it is struck by various weighted pool cues. The conjecture is that a light cue generates faster speeds while breaking the balls at the beginning of a game of pool. Goldie’s research generated the data in the file titled Breakcue.

a. To determine if there is a negative relationship between the weight of the pool cue and the speed attained by the cue ball, calculate a correlation coefficient.

b. Conduct a test of hypothesis to determine if there is a negative relationship between the weight of the pool cue and the speed attained by the cue ball. Use a significance level of 0.025 and a p-value approach.