Letxbe a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Letybe a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample ofprofessional basketball players gave the following information.

x 85 85 88 69 65 85

y 57 48 59 47 43 58

Given thatandfind a 90% confidence interval forand interpret its meaning.tc=2.132

The 90% confidence interval foris from 0.180 to 0.983 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.18 and 0.98.

The 90% confidence interval foris from 0.200 to 0.962 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.20 and 0.96.

The 90% confidence interval foris from 0.216 to 0.947 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.22 and 0.95.

The 90% confidence interval foris from 0.057 to 1.105 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.06 and 1.11.

The 90% confidence interval foris from 0.271 to 0.891 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.27 and 0.89.