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 o successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 73 51 67 64 75 86 73 42 40 48 51 44 ( a) Find Σχ, Σγ, Σx2 , Σy?, Σxy, and r. (Round r to three decimal places.) Ex = 438 Ey = 276 Ex? = 32264 V Ey2 = 12806 Exy = 20295 r = 0.823 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t = 2.90 critical t = 2.13 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) Find Se, a, b, and x. (Round your answers to four decimal places.) S, - 2.9785 a = 8.997 b = 0.5069 V x = 73 (d) Find the predicted percentage ŷ of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.) 52.08 V % (e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.) % |% lower limit upper limit (f) Use a 5% level of significance to test the claim that ß > 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 B > 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.
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 o successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 73 51 67 64 75 86 73 42 40 48 51 44 ( a) Find Σχ, Σγ, Σx2 , Σy?, Σxy, and r. (Round r to three decimal places.) Ex = 438 Ey = 276 Ex? = 32264 V Ey2 = 12806 Exy = 20295 r = 0.823 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t = 2.90 critical t = 2.13 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) Find Se, a, b, and x. (Round your answers to four decimal places.) S, - 2.9785 a = 8.997 b = 0.5069 V x = 73 (d) Find the predicted percentage ŷ of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.) 52.08 V % (e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.) % |% lower limit upper limit (f) Use a 5% level of significance to test the claim that ß > 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 B > 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.
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
100%
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.
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 o
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
42
40
48
51
44
51
( a) Find Σx, Σγ, Σχ,, Σγ, Σχy, and r. (Round r to three decimal places.)
Σχ
= 438
Ey = 276
Ex?
32264
Ey?
12806
%3D
Σχy
= 20295
r = 0.823
(b) Use a 5% level of significance to test the claim thatp > 0. (Round your answers to two decimal places.)
t = 2.90
critical t = 2.13
Conclusion
Reject the null hypothesis, there is sufficient evidence that
> 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) Find Se, a, b, and x. (Round your answers to four decimal places.)
Se
2.9785
a = 8.997
b = 0.5069
X = |73
(d) Find the predicted percentage ŷ of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.)
52.08
%
(e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.)
lower limit
upper limit
(f) Use a 5% level of significance to test the claim that ß > 0. (Round your answers to two decimal places.)
t =
critical t =
Conclusion
Reject the null hypothesis, there is sufficient evidence that ß > 0.
Reject the null hypothesis, there is insufficient evidence that ß > 0.
Fail to reject the null hypothesis, there is insufficient evidence that B > 0.
Fail to reject the null hypothesis, there is sufficient evidence that ß > 0.
O O O O
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