tx be a random variable that represents the batting average of a professional basebal player. Let y be a random variable that represents the percentage of strikeouts of a professional basebal player. A random sample of a-6 professional baseball players gave the following information 0.350 0.774 0.340 0,248 0.367 0.269 4.0 8.6 3.1 111 (a) Verity that - 1.848, Zy - 36.6, E - 0.58173, Ey- 281.38, Exy - 10.4992, and r0.906. Exy (b) Use a 1% 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 p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p difers from 0. O Fail to reject the nul hypothesis, there is insuficient evidence that p affers from 0. O Fail to reject the nul hypothesis, there is sufcient evidence that p differs from 0. (e) Verity that s,- 1.6139, a- 25.092, and b- -61.661. (a) Find the predicted percentage of strikeouts for a player with an x- 0.33 batting average. (Use 2 decimal places.) (e) Find a 90% confidence interval for y when x- 0.33. (Use 2 decimal places.) lower imt upper ime (7) Use a 1% level of significance to test the daim that 0. (Use 2 decimal places.) critical ta Conclusion O Reject the null hypothesis, there is sufficient evidence that differs from 0. O Reject the null hypothesis, there is insufficient evidence that differs from 0. O Fail to reject the nul hypothesis, there is insuffcient evidence that aers from 0. O Fail to reject the nul hypothesis, there is sufficient evidence that differs from 0. (a) Find a 90% confidence interval for and interpret its meaning. (Use 2 decimal places.) lower imt upper ime Interpretation O 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 inoreases by an amount that falls outside the confidence interval. 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 confndence interval.

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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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.
x0.350 0.274 0.340 0.248 0.367 0.269
y 2.6 7.2
4.0 8.6 3.1 11.1]
(a) Verify that Ex - 1.848, Ey - 36.6, Er - 0.58173, Ey - 281.38, Exy - 10.4992, and r-0.906.
Exy
(b) Use a 1% level of significance to test the claim that p+ 0. (Use 2 decimal places.)
critical tal
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 a differs from 0.
O Fail to reject the null hypothesis, there is insufficient evidence that e differs from 0.
O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0.
(c) Verify thats 1.6139, a - 25.092, andb 61.661
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 90% confidence interval for y when x- 0.33. (Use 2 decimal places.)
lower limit
upper limt
%
(r) Use a 1% level of significance to test the daim that 8+ 0. (Use 2 decimal places.)
critical t a
Conclusion
O Reject the null hypothesis, there is sufficient evidence that s differs from 0.
O Reject the null hypothesis, there is insufficient evidence that s differs from 0.
O Fail to reject the null hypothesis, there is insuficient evidence that differs from 0.
O Fail to reject the null hypothesis, there is sufficient evidence that differs from 0.
(9) Find a 90% confidence interval for s and interpret its meaning.- (Use 2 decimal places.
lower limit
upper limit
Interpretation
O 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 inoreases by an amount that falls outside the confidence interval.
O For every unit increase in batting average, the percentage strikeouts inoreases 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.
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. x0.350 0.274 0.340 0.248 0.367 0.269 y 2.6 7.2 4.0 8.6 3.1 11.1] (a) Verify that Ex - 1.848, Ey - 36.6, Er - 0.58173, Ey - 281.38, Exy - 10.4992, and r-0.906. Exy (b) Use a 1% level of significance to test the claim that p+ 0. (Use 2 decimal places.) critical tal 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 a differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that e differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Verify thats 1.6139, a - 25.092, andb 61.661 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 90% confidence interval for y when x- 0.33. (Use 2 decimal places.) lower limit upper limt % (r) Use a 1% level of significance to test the daim that 8+ 0. (Use 2 decimal places.) critical t a Conclusion O Reject the null hypothesis, there is sufficient evidence that s differs from 0. O Reject the null hypothesis, there is insufficient evidence that s differs from 0. O Fail to reject the null hypothesis, there is insuficient evidence that differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that differs from 0. (9) Find a 90% confidence interval for s and interpret its meaning.- (Use 2 decimal places. lower limit upper limit Interpretation O 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 inoreases by an amount that falls outside the confidence interval. O For every unit increase in batting average, the percentage strikeouts inoreases 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.
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