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 sam professional baseball players gave the following information. X 0.322 y 3.1 0.284 7.6 0.340 0.248 0.367 3.1 0.269 11.1 4.0 8.6 (a) Verify that Ex = 1.83, Ey 37.5, Ex 0.568494, Ey? 290.15, Exy 10.773, and r -0.875. Ex Ey Exy (b) Use a 10% level of significance to test the claim that p0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that e 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. S. al
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 sam professional baseball players gave the following information. X 0.322 y 3.1 0.284 7.6 0.340 0.248 0.367 3.1 0.269 11.1 4.0 8.6 (a) Verify that Ex = 1.83, Ey 37.5, Ex 0.568494, Ey? 290.15, Exy 10.773, and r -0.875. Ex Ey Exy (b) Use a 10% level of significance to test the claim that p0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that e 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. S. al
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:1090662&dep=28174037&elSBN=9781337713184
(d) Find the predicted percentage y 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 B 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 ß differs from 0.
O Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.
(g) Find a 90% confidence interval for B 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.
O 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.
O For every unit increase in batting average, the percentage strikeouts increases 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.
0.322
0.284
0.340
0.248
0.367
0.269
3.1
7.6
4.0
8.6
3.1
11.1
(a) Verify that Ex =
1.83, Σy=37.5, Σχ 0.568494, Σy290.15, Σxy
%D
10.773, and r= -0.875.
%3D
%3D
Σχ
ΣΥ
Σχ2
Ey?
Σχy
r
(b) Use a 10% level of significance to test the claim that p # 0. (Use 2 decimal places.)
t
critical t +
Conclusion
O 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.
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.
e
se
a
(d) Find the predicted percentage y 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 ß + 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.
O Fail to reiect the null hypothesis, there is insufficient evidence that ß differs from 0.
...
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