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...


Letx be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Lety be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample ofn = 6 professional basketball players gave the following information.


























x

676475867373


y

423948514451

(a) Find Σx, Σy, Σx
2, Σy
2, Σxy, andr. (Roundr to three decimal places.)


(b) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places.)














t =
criticalt =

Conclusion


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

Reject the null hypothesis, there is insufficient evidence that ? > 0.

Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.

Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.


(c) FindSe
,a,b, and x. (Round your answers to four decimal places.)


(d) Find the predicted percentage ŷ of successful field goals for a player withx
= 65% successful free throws. (Round your answer to two decimal places.)


(e) Find a 90% confidence interval fory whenx = 65. (Round your answers to one decimal place.)











lower limit %
upper limit %

(f) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places.)














t =
criticalt =

Conclusion


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

Reject the null hypothesis, there is insufficient evidence that ? > 0.

Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.

Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.


Jun 07, 2022
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