Please help with areas d,e,f,g Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in aseason. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makesin a season. A random sample of n = 6 professional basketball players gave the following information.х | 67y64867351 44757342394851(a) Verify that Ex = 438, Ey = 275, Ex? = 32264, Ey? = 12727, Exy = 20231, and r= 0.827.%3DEx 438Σy 275Ex2 32264Ey2 12727Exy 202310.827(b) Use a 5% level of significance to test the claim that p 0. (Round your answers to two decimal places.)t 2.942critical t 2.132ConclusionO Reject the null hypothesis, there is sufficient evidence that p 0.OReject the null hypothesis, there is insufficient evidence that p 0.OFail to reject the null hypothesis, there is insufficient evidence that p 0.O Fail to reject the null hypothesis, there is sufficient evidence that p 0.(c) Verify that S, 3.1191, a = 6.564, b = 0.5379, and x = 73.000.s, 3.119a 6.564b 0.5379x 73(d) Find the predicted percentage ŷ of successful field goals for a player with x = 71% successful free throws. (Round youranswer to two decimal places.)%(e) Find a 90% confidence interval for y when x = 71. (Round your answers to one decimal place.)lower limit%%upper limit(f) Use a 5% level of significance to test the claim that 6 0. (Round your answers to two decimal places.)critical tConclusionReject the null hypothesis, there is sufficient evidence that ß 0.O Reject the null hypothesis, there is insufficient evidence that ß 0.O Fail to reject the null hypothesis, there is insufficient evidence that B 0.O Fail to reject the null hypothesis, there is sufficient evidence that ß 0.(9) Find a 90% confidence interval for ß. (Round your answers to three decimal places.)lower limitupper limitInterpret its meaning.O For every percentage increase in successful free throws, the percentage of successful field goals decreases by anamount that falls within the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals increases by anamount that falls outside the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals increases by anamount that falls within the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals decreases by anamount that falls outside the confidence interval.

Question

Please help with areas d,e,f,g Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in aseason. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makesin a season. A random sample of n = 6 professional basketball players gave the following information.х | 67y64867351 44757342394851(a) Verify that Ex = 438, Ey = 275, Ex? = 32264, Ey? = 12727, Exy = 20231, and r= 0.827.%3DEx 438Σy 275Ex2 32264Ey2 12727Exy 202310.827(b) Use a 5% level of significance to test the claim that p> 0. (Round your answers to two decimal places.)t 2.942critical t 2.132ConclusionO Reject the null hypothesis, there is sufficient evidence that p > 0.OReject the null hypothesis, there is insufficient evidence that p > 0.OFail to reject the null hypothesis, there is insufficient evidence that p > 0.O Fail to reject the null hypothesis, there is sufficient evidence that p> 0.(c) Verify that S, 3.1191, a = 6.564, b = 0.5379, and x = 73.000.s, 3.119a 6.564b 0.5379x 73(d) Find the predicted percentage ŷ of successful field goals for a player with x = 71% successful free throws. (Round youranswer to two decimal places.)%(e) Find a 90% confidence interval for y when x = 71. (Round your answers to one decimal place.)lower limit%%upper limit(f) Use a 5% level of significance to test the claim that 6 > 0. (Round your answers to two decimal places.)critical tConclusionReject the null hypothesis, there is sufficient evidence that ß > 0.O Reject the null hypothesis, there is insufficient evidence that ß > 0.O Fail to reject the null hypothesis, there is insufficient evidence that B > 0.O Fail to reject the null hypothesis, there is sufficient evidence that ß > 0.(9) Find a 90% confidence interval for ß. (Round your answers to three decimal places.)lower limitupper limitInterpret its meaning.O For every percentage increase in successful free throws, the percentage of successful field goals decreases by anamount that falls within the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals increases by anamount that falls outside the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals increases by anamount that falls within the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals decreases by anamount that falls outside the confidence interval.

Accepted Answer

Solution:
Given that :
n= 6
∑x=438∑x2=32264Se= 3.1191a =6.564b=0.5379x= 73
To find SXX
Sxx=…