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. 67 44 64 75 48 86 73 73 41 51 44 51 (a) Verify that Ex = 438, Ey = 279, Ex = 32264, Ey = 13059, Exy = 20493, and r - 0.800. Σκ Ey Ex| Exy| (b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that Se- 2.7729, a- 14.783, b - 0.4345, and x - 73.000. S. a b (d) Find the predicted percentage ỹ of successful field goals for a player with x = 83% successful free throws. (Round your answer to two decimal places.)

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ISBN:9781119256830
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Chapter1: Starting With Matlab
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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.
67
44
64
75
48
86
73
73
41
51
44
51
(a) Verify that Ex = 438, Ey = 279, Ex = 32264, Ey = 13059, Exy = 20493, and r - 0.800.
Σκ
Ey
Ex|
Exy|
(b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.)
critical t
Conclusion
O Reject the null hypothesis, there is sufficient evidence that p > 0.
O Reject the null hypothesis, there is insufficient evidence that p > 0.
O Fail to reject the null hypothesis, there is insufficient evidence that p > 0.
Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
(c) Verify that Se- 2.7729, a- 14.783, b - 0.4345, and x - 73.000.
S.
a
b
(d) Find the predicted percentage ỹ of successful field goals for a player with x = 83% successful free throws. (Round your answer to two decimal places.)
Transcribed Image Text: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. 67 44 64 75 48 86 73 73 41 51 44 51 (a) Verify that Ex = 438, Ey = 279, Ex = 32264, Ey = 13059, Exy = 20493, and r - 0.800. Σκ Ey Ex| Exy| (b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that Se- 2.7729, a- 14.783, b - 0.4345, and x - 73.000. S. a b (d) Find the predicted percentage ỹ of successful field goals for a player with x = 83% successful free throws. (Round your answer to two decimal places.)
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