Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful ficid goals a professional basketball player makes in a season. A random sample of n-6 professional basketball players gave the f 73 73 67 64 75 8 Ly42 30 48 SL 4 S (a) Verity that 2x - 438, y - 275, Ex - 32264, Ey - 12727, Ery - 20231, and r-0.827. Exy (b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.) critical Coodusion O Reject the null hypothesis, there is sufficient evidence that > 0. O Reject the null hypothesis, there is insuficient evidence that a>0. O Fail to reject the null hypothesis, there is insufcient evidence that e>0. O Fail to reject the nul hypothesis, there is sufficient evidence that p> (c) Verity thatS,- 3.1191, a - 6.564, D- 0.5379, and x 73.000. (4) Find the predicted percentage y of successtul field goals for a player with x- 75% successtul free throws. (Round your answer to two dedimal places.) (e) Find a 90% confidence interval for y when x- 75. (Round your answers to one decimal place.) lower limit % upper ime () Use a S% level of significance to test the daim that > 0. (Round your answers to two decimal places.) critical Conclusion O Reject the null hypothesis, there is sufficient evidence that > 0. O Reject the null hypothesis, there is insufficient evidence that s> 0. O Fail to reject the null hypothesis, there is insufficient evidence that > 0. O Fail to reject the nul hypothesis, there is sufficient evidence that >0 (0) Find a 90% contidence interval for . (Round your answers to three decimal places.) lower imit upper imit Interpret ts meaning. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls outside the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval. O For every percentage increase in successtul free throws, the percentage of successful feld goals increases by an amount that falls outside the confidence interval, O For every percentage increase in successtul free throws, the percentage of successtul field goals increases by an amount that falls within the confidence interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Question
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n- 6 professional basketball players gave the following information.
x67 64 75 86 73 73
y 42 39 48 51 44 51
(a) Verify that Ex - 438, Ey - 275, Ex - 32264, Ey - 12727, Ery - 20231, andr- 0.827.
Exy
(b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.)
critical
Conclusion
O Reject the null hypothesis, there is sufficient evidence that > 0.
O Reject the null hypothesis, there is insufficient evidence that >0.
O Fail to reject the null hypothesis, there is insufficient evidence that e> 0.
O Fail to reject the null hypothesis, there is sufficient evidence that p> 0.
(C) Verity that s, - 3.1191, a- 6.564, D- 0.5379, and x- 73.000.
al
bl
(d) Find the predicted percentage ý of successful field goals for a player with x- 75% successful free throws. (Round your answer to two decimal places.)
(e) Find a 90% confidence interval for y when x - 75. (Round your answers to one decimal place.)
lower limit
upper lime
(r) Use a 5% level of significance to test the daim that 6> 0. (Round your answers to two decimal places.)
critical e
Conclusion
O Reject the null hypothesis, there is sufficient evidence that 8> 0.
O Reject the null hypothesis, there is insufficient evidence that 8 > 0.
O Fail to reject the null hypothesis, there is insuficient evidence that > 0.
O Fail to reject the null hypothesis, there is sufficient evidence that > 0.
(9) Find a 90% confidence interval for 8. (Round your answers to three decimal places.)
lower limit
upper lime
Interpret its meaning.
O For every percentage increase in successful free throws, the percentage of successful field goals deoreases by an amount that falls outside the confidence interval.
O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval.
O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval.
O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval.
Transcribed Image Text:Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n- 6 professional basketball players gave the following information. x67 64 75 86 73 73 y 42 39 48 51 44 51 (a) Verify that Ex - 438, Ey - 275, Ex - 32264, Ey - 12727, Ery - 20231, andr- 0.827. Exy (b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.) critical Conclusion O Reject the null hypothesis, there is sufficient evidence that > 0. O Reject the null hypothesis, there is insufficient evidence that >0. O Fail to reject the null hypothesis, there is insufficient evidence that e> 0. O Fail to reject the null hypothesis, there is sufficient evidence that p> 0. (C) Verity that s, - 3.1191, a- 6.564, D- 0.5379, and x- 73.000. al bl (d) Find the predicted percentage ý of successful field goals for a player with x- 75% successful free throws. (Round your answer to two decimal places.) (e) Find a 90% confidence interval for y when x - 75. (Round your answers to one decimal place.) lower limit upper lime (r) Use a 5% level of significance to test the daim that 6> 0. (Round your answers to two decimal places.) critical e Conclusion O Reject the null hypothesis, there is sufficient evidence that 8> 0. O Reject the null hypothesis, there is insufficient evidence that 8 > 0. O Fail to reject the null hypothesis, there is insuficient evidence that > 0. O Fail to reject the null hypothesis, there is sufficient evidence that > 0. (9) Find a 90% confidence interval for 8. (Round your answers to three decimal places.) lower limit upper lime Interpret its meaning. O For every percentage increase in successful free throws, the percentage of successful field goals deoreases by an amount that falls outside the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval.
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