X0.334 y 3.4 0.340 4.0 0.367 3.1 0.269 11.1 0.286 0.248 8.6 7.4 (a) Verify that Ex = 1.844, Ey = 37.6, Ex? = 0.577506, Ey 289.1, Exy = 10.8684, and r=-0.905. Ex 1.844 Ey 37.6 Ex 0.577506 Ey2 289.1 Exy 10.8684 r0.905 (b) Use a 5% level of significance to test the claim that p+ 0. (Use 2 decimal places.) t4.25 critical t 2.78 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 1.5542, a- 25.856, and b -63.740. S. 1.5542 a 25.856 b-65.740 (d) Find the predicted percentage y of strikeouts for a player with an x 0.33 batting average. (Use 2 decimal places.)

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Author:Amos Gilat
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(c) Verify that S 1.5542, a 25.856, and b -63.740.
e
S. 1.5542
e
a 25.856
b-65.740
(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.)
(e) Find a 99% confidence interval for y when x =
0.33. (Use 2 decimal places.)
lower limit
%
upper limit
%
(f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.)
critical t +
Conclusion
Reject the null hypothesis, there is sufficient evidence that B differs from 0.
O Reject the null hypothesis, there is insufficient evidence that ß differs from 0.
O 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 ß differs from 0.
(g) Find a 99% confidence interval for B and interpret its meaning. (Use 2 decimal places.)
lower limit
upper limit
Interpretation
For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside 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 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 within the confidence interval.
Transcribed Image Text:(c) Verify that S 1.5542, a 25.856, and b -63.740. e S. 1.5542 e a 25.856 b-65.740 (d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.) (e) Find a 99% confidence interval for y when x = 0.33. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.) critical t + Conclusion Reject the null hypothesis, there is sufficient evidence that B differs from 0. O Reject the null hypothesis, there is insufficient evidence that ß differs from 0. O 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 ß differs from 0. (g) Find a 99% confidence interval for B and interpret its meaning. (Use 2 decimal places.) lower limit upper limit Interpretation For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside 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 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 within the confidence interval.
om Varlablé thất répresents 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.
0.334
0.286
0.340
0.248
0.367
0.269
3.4
7.4
4.0
8.6
3.1
11.1
(a) Verify that Ex = 1.844, Ey = 37.6, Ex = 0.577506, Ey = 289.1, Exy = 10.8684, and r -0.905.
%3D
%3D
%3D
Ex 1.844
Ey 37.6
Ex2 0.577506
Ey2 289.1
Exy 10.8684
r-0.905
(b) Use a 5% level of significance to test the claim that p + 0. (Use 2 decimal places.)
t-4.25
critical t + 2.78
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.
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.
(c) Verify that S 1.5542, a 25.856, and b -63.740.
e
Se 1.5542
e
a 25.856
-65.740
(d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.)
0.33. (Use 2 decimal places.)
(e) Find a 99% confidence interval for y when x =
lower limit
upper limit
(f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.)
t.
critical t +
Conclusion
Transcribed Image Text:om Varlablé thất répresents 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. 0.334 0.286 0.340 0.248 0.367 0.269 3.4 7.4 4.0 8.6 3.1 11.1 (a) Verify that Ex = 1.844, Ey = 37.6, Ex = 0.577506, Ey = 289.1, Exy = 10.8684, and r -0.905. %3D %3D %3D Ex 1.844 Ey 37.6 Ex2 0.577506 Ey2 289.1 Exy 10.8684 r-0.905 (b) Use a 5% level of significance to test the claim that p + 0. (Use 2 decimal places.) t-4.25 critical t + 2.78 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. 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. (c) Verify that S 1.5542, a 25.856, and b -63.740. e Se 1.5542 e a 25.856 -65.740 (d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.) 0.33. (Use 2 decimal places.) (e) Find a 99% confidence interval for y when x = lower limit upper limit (f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.) t. critical t + Conclusion
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