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 44 73 51 (a) Verify that Ex = 438, Ey = 279, Ex? - 32264, Ey2 - 13059, Exy= 20493, and r 0.800. 64 41 75 86 51 73 44 48 Ex Ev Ex2 Ey? 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 insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that S= 2.7729, a 14.783, b - 0.4345, and x 73.000. a b

MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
Sel
a
(d) Find the predicted percentage ŷ of successful field goals for a player with x = 65% successful free throws. (Round your answer to two decimal places.)
(e) Find a 90% confidence interval for y when x = 65. (Round your answers to one decimal place.)
lower limit
upper limit
(f) Use a 5% level of significance to test the claim that B > 0. (Round your answers to two decimal places.)
t
critical t
Conclusion
O Reject the null hypothesis, there is sufficient evidence that B > 0.
Reject the null hypothesis, there is insufficient evidence that B > 0.
Fail to reject the null hypothesis, there is insufficient evidence that B > 0.
O Fail to reject the null hypothesis, there is sufficient evidence that B > 0.
(g) Find a 90% confidence interval for ß. (Round your answers to three decimal places.)
lower limit
upper limit
Interpret its meaning.
O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval.
For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval.
For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls outside the confidence interval.
O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval.
Transcribed Image Text:Sel a (d) Find the predicted percentage ŷ of successful field goals for a player with x = 65% successful free throws. (Round your answer to two decimal places.) (e) Find a 90% confidence interval for y when x = 65. (Round your answers to one decimal place.) lower limit upper limit (f) Use a 5% level of significance to test the claim that B > 0. (Round your answers to two decimal places.) t critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that B > 0. Reject the null hypothesis, there is insufficient evidence that B > 0. Fail to reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is sufficient evidence that B > 0. (g) Find a 90% confidence interval for ß. (Round your answers to three decimal places.) lower limit upper limit Interpret its meaning. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval. For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval. For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls outside the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval.
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
64
75
86
73
73
44
41
48
51
44
51
(a) Verify that Ex
438, Ey = 279,
Ex2
32264, Ey = 13059, Exy = 20493, and r = 0.800.
II
%3D
%3D
%3D
%3D
Σχ
Ey
Ex?
Ey2
Σχy
(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.
Reject the null hypothesis, there
insufficient evidence that p > 0.
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 S 2.7729, a 14.783, b 0.4345, and x = 73.000.
Se
a
b
65% successful free throws. (Round your answer to two decimal places.)
(d) Find the predicted percentage ŷ of successful field goals for a player with x =
%
(e) Find a 90% confidence interval for y when x = 65. (Round your answers to one decimal place.)
lower limit
%
%
upper limit
(f) Use a 5% level of significance to test the claim that B > 0. (Round your answers to two decimal places.)
critical t
Conclusion
O Reject the null hypothesis, there is sufficient evidence that B > 0.
Reject the null hypothesis, there is insufficient evidence that B > 0.
Fail to reject the null hypothesis, there is insufficient evidence that ß > 0.
MacBook Pro
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 64 75 86 73 73 44 41 48 51 44 51 (a) Verify that Ex 438, Ey = 279, Ex2 32264, Ey = 13059, Exy = 20493, and r = 0.800. II %3D %3D %3D %3D Σχ Ey Ex? Ey2 Σχy (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. Reject the null hypothesis, there insufficient evidence that p > 0. 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 S 2.7729, a 14.783, b 0.4345, and x = 73.000. Se a b 65% successful free throws. (Round your answer to two decimal places.) (d) Find the predicted percentage ŷ of successful field goals for a player with x = % (e) Find a 90% confidence interval for y when x = 65. (Round your answers to one decimal place.) lower limit % % upper limit (f) Use a 5% level of significance to test the claim that B > 0. (Round your answers to two decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that B > 0. Reject the null hypothesis, there is insufficient evidence that B > 0. Fail to reject the null hypothesis, there is insufficient evidence that ß > 0. MacBook Pro
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