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 73 73 51 (a) Verify that Ex = 438, Ey = 279, Ex² = 32264, Ey² = 13059, Exy = 20493, and r = 0.800. 64 75 86 y 44 41 48 51 44 Ex 438 Ey 279 Ex 32264 Ey2 13059 Exy 20493 r.800 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t 2.942 critical t 2.132
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 73 73 51 (a) Verify that Ex = 438, Ey = 279, Ex² = 32264, Ey² = 13059, Exy = 20493, and r = 0.800. 64 75 86 y 44 41 48 51 44 Ex 438 Ey 279 Ex 32264 Ey2 13059 Exy 20493 r.800 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t 2.942 critical t 2.132
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please assist with incorrect and unanswered areas of this problem
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 rs 0.800.
Ex 438
Ey 279
Ex2 32264
Ey2 13059
Exy 20493
r.800
(b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.)
t 2.942
critical t 2.132
Conclusion
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 s 14.783, b = 0.4345, and x= 73.000.
S 2.7729
a 14.783
b 0.4345
x 73
(d) Find the predicted percentage ŷ of successful field goals for a player with x = 77% successful free throws. (Round your
answer to two decimal places.)
48.238
%
(e) Find a 90% confidence interval for y when x = 77. (Round your answers to one decimal place.)
lower limit 41.852
%
upper limit 54.624
%
(f) Use a 5% level of significance to test the claim that B> 0. (Round your answers to two decimal places.)
critical t 2.132
Conclusion
Reject the null hypothesis, there is sufficient evidence that 6 > 0.
Reject the null hypothesis, there is insufficient evidence that ß > 0.
O
Fail to reject the null hypothesis, there is insufficient evidence that ß > 0.
Fail to reject the null hypothesis, there is sufficient evidence that ß > 0.
(9) Find a 90% confidence interval for ß. (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 outside 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 increases 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 within the confidence interval.
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