1.Let x be a random variable that represents thepercentage of successful free throws a professional basketballplayer makes in a season. Let y be a random variable thatrepresents the percentage of successful field goals a professionalbasketball player makes in a season. A random sample of n= 6 professional basketball players gave the followinginformation.
x
86
70
80
76
70
67
y
57
43
46
50
50
41
Given that Se ? 4.075, a ? 16.319,b ? 0.435, and x bar? 74.833 , ?x= 449, ?y = 287, ?x2 = 33,861, and ?y2= 13,895, find a 99% confidence interval for y whenx = 72.
Select one:
a. between 25.3 and 66.8
b. between 25.6 and 66.6
c. between 25.8 and 66.3
d. between 27.0 and 65.1
e. between 24.9 and 67.2
2.Let x be a random variable that represents thepercentage of successful free throws a professional basketballplayer makes in a season. Let y be a random variable thatrepresents the percentage of successful field goals a professionalbasketball player makes in a season. A random sample of n= 6 professional basketball players gave the followinginformation.
x
65
80
68
64
69
71
y
43
49
51
47
42
52
Given that Se ? 4.306, a ? 17.085,b ? 0.417, and x bar? 69.5 , ?x= 417, ?y = 284, ?x2 = 29,147, and ?y2= 13,528, find a 98% confidence interval for y around53.4 when x = 87.
Select one:
a. between 26.4 and 77.3
b. between 25.1 and 78.6
c. between 24.6 and 79.1
d. between 21.3 and 82.5
e. between 23.8 and 79.9
3.Let x be a random variable that represents thepercentage of successful free throws a professional basketballplayer makes in a season. Let y be a random variable thatrepresents the percentage of successful field goals a professionalbasketball player makes in a season. A random sample of n= 6 professional basketball players gave the followinginformation.
x
81
65
78
87
70
81
y
46
48
54
51
44
51
Given that Se ? 3.668, a ? 16.331,b ? 0.436, and x bar? 77 , use a 5%level of significance to find the P-Value for the testthat claims ? is greater than zero.
Select one:
a. 0.1 < P-Value < 0.2
b. 0.005 < P-Value < 0.01
c. P-Value < 0.005
d. 0.2 < P-Value < 0.25
e. P-Value > 0.25
