Letx be a random variable that represents the batting average of a professional baseball player. Lety be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample ofn = 6 professional baseball players gave the following information. x 0.310 0.298 0.340 0.248 0.367 0.269 y 2.5 7.8 4.0 8.6 3.1 11.1 (a) Verify that Σx = 1.832, Σy = 37.1, Σx 2 = 0.569058, Σy 2 = 289.87, Σxy = 10.7158, andr ≈ -0.800. Σx Σy Σx 2 Σy 2 Σxy r (b) Use a 10% level of significance to test the claim that ? ≠ 0. (Use 2 decimal places.) t criticalt ± 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 thatSe ≈ 2.3343,a ≈ 25.475, andb ≈ -63.182. Se a b (d) Find the predicted percentage of strikeouts for a player with anx = 0.33 batting average. (Use 2 decimal places.) % (e) Find a 90% confidence interval fory whenx = 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 criticalt ± 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 (g) Find a 90% 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 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 increases 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.

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...

Letx be a random variable that represents the batting average of a professional baseball player. Lety be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample ofn = 6 professional baseball players gave the following information.

x	0.310	0.298	0.340	0.248	0.367	0.269
y	2.5	7.8	4.0	8.6	3.1	11.1

(a) Verify that Σx = 1.832, Σy = 37.1, Σx
² = 0.569058, Σy
² = 289.87, Σxy = 10.7158, andr ≈ -0.800.

Σx
Σy
Σx ²
Σy ²
Σxy
r

(b) Use a 10% level of significance to test the claim that ? ≠ 0. (Use 2 decimal places.)

t
criticalt ±

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.

S_e
a
b

(d) Find the predicted percentage of strikeouts for a player with anx = 0.33 batting average. (Use 2 decimal places.)
%

(e) Find a 90% confidence interval fory whenx = 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
criticalt ±

Conclusion

Reject the null hypothesis, there is sufficient evidence that ? differs from 0.

Reject the null hypothesis, there is insufficient evidence that ? differs from

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

(g) Find a 90% 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 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 increases 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.

Jun 09, 2022

SOLUTION.PDF

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...

Get Answer To This Question

Related Questions & Answers

Submit New Assignment