The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The data follow: Brand 1: 275, 286, 245, 271, 283, 271, 279,275, 263, 267 Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268 (a) Use the Wilcoxon rank-sum test to investigate if the mean distances differ. Use a = 0.05. Ho (b) Use the normal approximation for the Wilcoxon rank-sum test with a = 0.05. Find the approximate P-value for this test, and what is your conclusion? P-value - . Round your answer to 3 decimal places. Ho

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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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The overall distance traveled by a golf ball s tested by hitting the ball with Iron Byron, a mechanical golfer witha swing that is said to
emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall
distance measured. The data follow:
Brand 1:275, 286, 245, 271, 283, 271, 279,275, 263, 267
Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268
(a) Use the Wilcoxon rank-sum test to investigate if the mean distances differ. Use a = 0.05.
Ho
(b) Use the normal approximation for the Wilcoxon rank-sum test with a = 0.05. Find the approximate P-value for this test, and
what is your conclusion?
P-value = i
.Round your answer to 3 decimal places.
Ho
Transcribed Image Text:The overall distance traveled by a golf ball s tested by hitting the ball with Iron Byron, a mechanical golfer witha swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The data follow: Brand 1:275, 286, 245, 271, 283, 271, 279,275, 263, 267 Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268 (a) Use the Wilcoxon rank-sum test to investigate if the mean distances differ. Use a = 0.05. Ho (b) Use the normal approximation for the Wilcoxon rank-sum test with a = 0.05. Find the approximate P-value for this test, and what is your conclusion? P-value = i .Round your answer to 3 decimal places. Ho
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