Let x be a random variable that represents the percentage of successful free throws a professional basketball player 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. x 67 70 69 81 65 86 y 51 54 45 56 50 49 Given that ∑x = 438, ∑y = 305, ∑x2 = 32,332, ∑y2 = 15,579, ∑xy = 22,302, and r = 0.226, find the P-value for a test claiming that ρ is greater than zero. 0.25 > P-value > 0.10 0.10 > P-value > 0.05 0.40 > P-value > 0.25 P-value < 0.0005 P-value > 0.40
Let x be a random variable that represents the percentage of successful free throws a professional basketball player 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.
|
x |
67 |
70 |
69 |
81 |
65 |
86 |
|
y |
51 |
54 |
45 |
56 |
50 |
49 |
Given that ∑x = 438, ∑y = 305, ∑x2 = 32,332, ∑y2 = 15,579, ∑xy = 22,302, and r = 0.226, find the P-value for a test claiming that ρ is greater than zero.
|
0.25 > P-value > 0.10 |
|
|
0.10 > P-value > 0.05 |
|
|
0.40 > P-value > 0.25 |
|
|
P-value < 0.0005 |
|
|
P-value > 0.40X |
Given that ∑x = 438, ∑y = 305, ∑x2 = 32,332, ∑y2 = 15,579, ∑xy = 22,302, and r = 0.226.
Hypothesis:
H0:ρ=0
H1:ρ>0
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