Let x be season. A random sample of n-6 professional basketball players gave the following information 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 x 67 64 75 86 73 73 y 44 39 48 51 44 51 (a) Verify that Ex-438, 2y = 277, 2x2-32264, 2y2 12899, Exy 20365, and/-0.803. Ex Ey 2x2 2y2 Exy (b) Use a 5% level of significance to test the claim that > 0. (Round your answers to two decimal places.) t critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is 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 Se 3.1357, a 9.918, b 0.4966, and x 73.000. Se b X
Let x be season. A random sample of n-6 professional basketball players gave the following information 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 x 67 64 75 86 73 73 y 44 39 48 51 44 51 (a) Verify that Ex-438, 2y = 277, 2x2-32264, 2y2 12899, Exy 20365, and/-0.803. Ex Ey 2x2 2y2 Exy (b) Use a 5% level of significance to test the claim that > 0. (Round your answers to two decimal places.) t critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is 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 Se 3.1357, a 9.918, b 0.4966, and x 73.000. Se b X
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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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.
x 67 64 75 86 73 73
y
44 39 48 51 44 51
(a) Verify that Ex=438, y = 277, 2x2-32264, y2 12899, Exy - 20365, and r= 0.803.
-
Ey
Ex²
xy²
Exy
r
(b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.)
t
critical t
Conclusion
Reject the null hypothesis, there is sufficient evidence that p > 0.
Reject the null hypothesis, there is 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 Se 3.1357, a 9.918, b 0.4966, and x 73.000.
Se
a
X
(d) Find the predicted percentage 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 > 0. (Round your answers to two decimal places.)
t
critical t
Conclusion
Reject the null hypothesis, there is sufficient evidence that/ > 0.
Reject the null hypothesis, there is insufficient evidence that > 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 > 0.
(9) Find a 90% confidence interval for B. (Round your answers to three decimal places.)
lower limit
upper limit
Interpret its meaning.
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.
For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval.
For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval.
b
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