Berhhart Billiards, Inc., conducted an experiment to measure the speed a cue ball attains when 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. Anecdotal experience has indicated that a billiard cue weighing less than 19 ounces generates faster speeds. Berhhart used a robotic arm to investigate this claim. The research generated the data given in the file titled Breakcue.

a. Calculate the sample standard deviation and mean speed produced by cues in the two weight categories:
(1) under 19 ounces and (2) at or above 19 ounces.

b. Calculate a 95% confidence interval for the difference in the average speed of a cue ball generated by each of the weight categories.

c. Is the anecdotal evidence correct? Support your assertion.

d. What assumptions are required so that your results in part b would be valid?