(4) Find the predicted percentage y of successful field goals for a player with x- 83% successful free throws. (Round your answer to two decimal places.) (e) Find a 90% confidence interval for y when x - 83. (Round your answers to one decimal place.) lower limt upper limit (n Use a 5% level of significance to test the claim that > 0. (Round your answers to two decimal places.) critical Conclusion O Reject the null hypothesis, there is sufficient evidence that >0. O Reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is insufficient evidence that 8> 0. O Fail to reject the null hypothesis, there is sufficient evidence that 8> 0. (9) Find a 90% confidence interval for . (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. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that fals outside the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that fals outside the confidence interval.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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d, e, f, g

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
y
44
41
48
51
44
51
(a) Verify that Ex = 438, Ey = 279, Ex2 = 32264, Ey2 = 13059, Exy = 20493, and r= 0.800.
Σχ
ΣΥ
Ex2
Ey2
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.
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
(d) Find the predicted percentage ý of successful field goals for a player with x = 83% successful free throws. (Round your answer to two decimal places.)
%
(e) Find a 90% confidence interval for y when x = 83. (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.
O Reject the null hypothesis, there is insufficient evidence that ß > 0.
O 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.
(9) Find a 90% confidence interval for B. (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.
O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval.
O 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: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 y 44 41 48 51 44 51 (a) Verify that Ex = 438, Ey = 279, Ex2 = 32264, Ey2 = 13059, Exy = 20493, and r= 0.800. Σχ ΣΥ Ex2 Ey2 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. 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 (d) Find the predicted percentage ý of successful field goals for a player with x = 83% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 83. (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. O Reject the null hypothesis, there is insufficient evidence that ß > 0. O 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. (9) Find a 90% confidence interval for B. (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. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval. O 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.
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