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. x 0.318 0.298 0.340 0.248 0.367 0.269 y 3.2 7.0 4.0 8.6 3.1 11.1 (a) Verify that Ex= 1.84, y = 37, 2x2-0.574082, xy2-282.02, Exy 10.72, and r = -0.862. Ex Sy Ix² zy2 Exy (b) Use a 10% level of significance to test the claim that p = 0. (Use 2 decimal places.) critical ta Conclusion Reject the null hypothesis, there is sufficient evidence that differs from 0. Reject the null hypothesis, there is insufficient evidence that differs from 0. Fail to reject the null hypothesis, there is insufficient evidence that differs from 0. Fail to reject the null hypothesis, there is sufficient evidence that differs from 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
icon
Related questions
Question
Please help me answer this
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.
x 0.318 0.298 0.340 0.248 0.367
y 3.2
0.269
11.1
7.0
4.0
8.6
3.1
(a) Verify that Ex= 1.84, y = 37, Ex2 = 0.574082, xy2 = 282.02, Exy 10.72, and r= -0.862.
Ey
2x²
2y²
Exy
r
(b) Use a 10% level of significance to test the claim that p = 0. (Use 2 decimal places.)
t
critical t
Conclusion
Reject the null hypothesis, there is sufficient evidence that differs from 0.
Reject the null hypothesis, there is insufficient evidence that differs from 0.
Fail to reject the null hypothesis, there is insufficient evidence that differs from 0.
Fail to reject the null hypothesis, there is sufficient evidence that differs from 0.
(c) Verify that Se 1.8603, a= 25.746, and b= -63.846.
-
Se
a
b
(d) Find the predicted percentage of strikeouts for a player with an x=0.33 batting average. (Use 2 decimal places.)
%
(e) Find a 95% confidence interval for y when x 0.33. (Use 2 decimal places.)
lower limit
%
upper limit
%
(f) Use a 10% level of significance to test the claim that 0. (Use 2 decimal places.)
t
critical t
Conclusion
Reject the null hypothesis, there is sufficient evidence that differs from 0.
Reject the null hypothesis, there is insufficient evidence that differs from 0.
Fail to reject the null hypothesis, there is insufficient evidence that differs from 0.
Fail to reject the null hypothesis, there is sufficient evidence that differs from 0.
(9) Find a 95% confidence interval for and interpret its meaning. (Use 2 decimal places.)
lower limit
upper limit
Interpretation
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.
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.
Transcribed Image Text: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. x 0.318 0.298 0.340 0.248 0.367 y 3.2 0.269 11.1 7.0 4.0 8.6 3.1 (a) Verify that Ex= 1.84, y = 37, Ex2 = 0.574082, xy2 = 282.02, Exy 10.72, and r= -0.862. Ey 2x² 2y² Exy r (b) Use a 10% level of significance to test the claim that p = 0. (Use 2 decimal places.) t critical t Conclusion Reject the null hypothesis, there is sufficient evidence that differs from 0. Reject the null hypothesis, there is insufficient evidence that differs from 0. Fail to reject the null hypothesis, there is insufficient evidence that differs from 0. Fail to reject the null hypothesis, there is sufficient evidence that differs from 0. (c) Verify that Se 1.8603, a= 25.746, and b= -63.846. - Se a b (d) Find the predicted percentage of strikeouts for a player with an x=0.33 batting average. (Use 2 decimal places.) % (e) Find a 95% confidence interval for y when x 0.33. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that 0. (Use 2 decimal places.) t critical t Conclusion Reject the null hypothesis, there is sufficient evidence that differs from 0. Reject the null hypothesis, there is insufficient evidence that differs from 0. Fail to reject the null hypothesis, there is insufficient evidence that differs from 0. Fail to reject the null hypothesis, there is sufficient evidence that differs from 0. (9) Find a 95% confidence interval for and interpret its meaning. (Use 2 decimal places.) lower limit upper limit Interpretation 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. 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman