(c) Verify that S.- 1.8088, a25.843, and b -64.240.Sela 25.84324b -64.24014(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.344 batting average. (Use 2 decimal places.)%(e) Find a 90% confidence interval for y when x = 0.344. (Use 2 decimal places.)lower limit%upper limit%(f) Use a 10% level of significance to test the claim that B # 0. (Use 2 decimal places.)critical t +ConclusionO Reject the null hypothesis, there is sufficient evidence that ß differs from 0.Reject the null hypothesis, there is insufficient evidence that ß differs from 0.Fail to reject the null hypothesis, there is insufficient evidence that B differs from 0.Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.(g) Find a 90% confidence interval for ß and interpret its meaning. (Use 2 decimal places.)lower limitupper limitInterpretationO For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval.For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval. Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6professional baseball players gave the following information.0.3220.2840.3400.2480.3673.10.2693.17.64.08.611.1(a) Verify that Ex = 1.83, Ey = 37.5, Ex = 0.568494, Ey = 290.15, Exy = 10.773, and r = -0.875.Σχ%D%3D%3DEyEx?Ey?Exyr-0.875(b) Use a 10% level of significance to test the claim that p # 0. (Use 2 decimal places.)t-3.61critical t + 2.1318ConclusionReject the null hypothesis, there is sufficient evidence that p differs from 0.Reject the null hypothesis, there is insufficient evidence that p differs from 0.differs from 0.Fail to reject the null hypothesis, there is insufficient evidence thatFail to reject the null hypothesis, there is sufficient evidence that p differs from 0.(c) Verify that S 1.8088, a 25.843, and b -64.240.eSea 25.84324b-64.24014(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.344 batting average. (Use 2 decimal places.)%(e) Find a 90% confidence interval for y when x = 0.344. (Use 2 decimal places.)lower limit%upper limit(f) Use a 10% level of significance to test the claim that B # 0. (Use 2 decimal places.)

* SOLUTION :- Given data , Let x be a random variable that represents the batting average of a…

X 0.322 0.284 7.6 0.340 0.248 8.6 0.367 3.1 0.269 11.1 y 3.1 4.0 (a) Verify that Ex= 1.83, Ey- 37.5, Ex 0.568494, Ey2 - 290.15, Exy= 10.773, and r -0.875. Ex Ey Ex2 Exy r-0.875 (b) Use a 10% level of significance to test the claim that p 0. (Use 2 decimal places.) t-3.61 critical t+ 2.1318 Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Verify that S 1.8088, a 25.843, and b-64.240. Se a 25.84324 b-64.24014 (d) Find the predicted percentage ŷ of strikeouts for a player with an x- 0.344 batting average. (Use 2 decimal places.) (e) Find a 90% confidence interval for y when x 0.344. (Use 2 decimal places.) lower limit % upper limit (r) Use a 10% level of significance to test the claim that 0. (Use 2 decimal places.)

X 0.322 0.284 7.6 0.340 0.248 8.6 0.367 3.1 0.269 11.1 y 3.1 4.0 (a) Verify that Ex= 1.83, Ey- 37.5, Ex 0.568494, Ey2 - 290.15, Exy= 10.773, and r -0.875. Ex Ey Ex2 Exy r-0.875 (b) Use a 10% level of significance to test the claim that p 0. (Use 2 decimal places.) t-3.61 critical t+ 2.1318 Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Verify that S 1.8088, a 25.843, and b-64.240. Se a 25.84324 b-64.24014 (d) Find the predicted percentage ŷ of strikeouts for a player with an x- 0.344 batting average. (Use 2 decimal places.) (e) Find a 90% confidence interval for y when x 0.344. (Use 2 decimal places.) lower limit % upper limit (r) Use a 10% level of significance to test the claim that 0. (Use 2 decimal places.)

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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Question

(c) Verify that S.
- 1.8088, a
25.843, and b -64.240.
Sel
a 25.84324
b -64.24014
(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.344 batting average. (Use 2 decimal places.)
%
(e) Find a 90% confidence interval for y when x = 0.344. (Use 2 decimal places.)
lower limit
%
upper limit
%
(f) Use a 10% level of significance to test the claim that B # 0. (Use 2 decimal places.)
critical t +
Conclusion
O Reject the null hypothesis, there is sufficient evidence that ß differs from 0.
Reject the null hypothesis, there is insufficient evidence that ß differs from 0.
Fail to reject the null hypothesis, there is insufficient evidence that B differs from 0.
Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.
(g) Find a 90% confidence interval for ß and interpret its meaning. (Use 2 decimal places.)
lower limit
upper limit
Interpretation
O For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval.
For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.
For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval.
For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval.

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6
professional baseball players gave the following information.
0.322
0.284
0.340
0.248
0.367
3.1
0.269
3.1
7.6
4.0
8.6
11.1
(a) Verify that Ex = 1.83, Ey = 37.5, Ex = 0.568494, Ey = 290.15, Exy = 10.773, and r = -0.875.
Σχ
%D
%3D
%3D
Ey
Ex?
Ey?
Exy
r-0.875
(b) Use a 10% level of significance to test the claim that p # 0. (Use 2 decimal places.)
t-3.61
critical t + 2.1318
Conclusion
Reject the null hypothesis, there is sufficient evidence that p differs from 0.
Reject the null hypothesis, there is insufficient evidence that p differs from 0.
differs from 0.
Fail to reject the null hypothesis, there is insufficient evidence that
Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0.
(c) Verify that S 1.8088, a 25.843, and b -64.240.
e
Se
a 25.84324
b-64.24014
(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.344 batting average. (Use 2 decimal places.)
%
(e) Find a 90% confidence interval for y when x = 0.344. (Use 2 decimal places.)
lower limit
%
upper limit
(f) Use a 10% level of significance to test the claim that B # 0. (Use 2 decimal places.)

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