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. 0.310 0.340 0.248 0.367 0.269 Conclusion X y 2.9 0.318 (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round only r to three decimal places.) Eyal critical tal % tal 7.8 Exal (b) Use a 5% level of significance to test the claim that p = 0. (Round your answers to three decimal places.) 4.0 Ex= Ey=[ 8.6 (c) Find S, a, and b. (Round your answers to four decimal places.) bal critical t 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. Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. 3.1 Exyal (d) Find the predicted percentage y of strikeouts for a player with an x = 0.280 batting average. (Round your answer to two decimal places.) 11.1 (e) Find an 80% confidence interval for y when x = 0.280. (Round your answers to two decimal places.) %upper limit % lower limit (1) Use a 5% level of significance to test the claim that ß* 0. (Round your answers to three decimal places.) Conclusion Reject the null hypothesis, there is sufficient evidence that 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 differs from 0. Fail to reject the null hypothesis, there is sufficient evidence that differs from 0.

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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O
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.
0.310 0.340 0.248 0.367 0.269
Conclusion
X
0.318
y 2.9
(a)
Find Ex, Ey, Ex, Ey, Exy, and r. (Round only r to three decimal places.)
Eyl
%
t
Conclusion
7.8
a=
Exal
(b)
Use a 5% level of significance to test the claim that p = 0. (Round your answers to three decimal places.)
critical t
Ex²=1
4.0
8.6
Ev=l
(c)
Find S, a, and b. (Round your answers to four decimal places.)
b=
3.1
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. Fail to reject the null hypothesis, there is sufficient
evidence that p differs from 0.
Se=
(d)
Find the predicted percentage y of strikeouts for a player with an x = 0.280 batting average. (Round your
answer to two decimal places.)
Exy=l
11.1
(e)
Find an 80% confidence interval for y when x = 0.280. (Round your answers to two decimal places.)
%upper limit
L
lower limit
(f)
Use a 5% level of significance to test the claim that 30. (Round your answers to three decimal places.)
critical t=l
differs from 0.
Reject the null
Reject the null hypothesis, there is sufficient evidence that
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.
Transcribed Image Text:O 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. 0.310 0.340 0.248 0.367 0.269 Conclusion X 0.318 y 2.9 (a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round only r to three decimal places.) Eyl % t Conclusion 7.8 a= Exal (b) Use a 5% level of significance to test the claim that p = 0. (Round your answers to three decimal places.) critical t Ex²=1 4.0 8.6 Ev=l (c) Find S, a, and b. (Round your answers to four decimal places.) b= 3.1 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. Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. Se= (d) Find the predicted percentage y of strikeouts for a player with an x = 0.280 batting average. (Round your answer to two decimal places.) Exy=l 11.1 (e) Find an 80% confidence interval for y when x = 0.280. (Round your answers to two decimal places.) %upper limit L lower limit (f) Use a 5% level of significance to test the claim that 30. (Round your answers to three decimal places.) critical t=l differs from 0. Reject the null Reject the null hypothesis, there is sufficient evidence that 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.
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