Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 54

In Problems 7-12, parts (a) and (b) relate to testing . Part (c) requests the value of S c. Part (e) relates to confidence intervals for prediction. Part (f) relates to testing . Answers may very due to rounding.
Basketball: Free Throws and Field Goals Let x be a random variable that represents the percentage of successful free throws a professional basketball players makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information (Reference: The Official NBA Basketball Encyclopedia , Villard Books):

(a) Verify that x = 439, y = 280, x 2 = 32,393, y 2 = 13,142, xy = 20,599, and r 0.784.
(b) Use a 5% level of significance to test the claim that p 0.
(c) Verify that S c 2.6964, a 16.542, and b 0.4117.
(d) Find the predicted percentage
of successful field goals for a player with x = 70% successful free throws.
(e) Fine a 90% confidence interval for y when x = 70.
(f) Use a 5% level of significance to test the claim that 0.