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Question I. Each of 51 golfers hit three golf balls of brand X and three golf balls of brand Y in a random order. Let X, and Y; equal the averages of the distances traveled by the brand X and brand Y golf balls hit by the i-th golfer, i = 1, 2, ..., 51. Let W₁ = X₁ - Yį, i = 1, 2, ..., 51. Test How = 0 against H₁ w > 0, where w is the mean of the differences. Let @ = 2.07 and s 84.63 be the observed sample mean and sample standard deviation of Wi's. Would Ho be accepted or rejected at an a = 0.05 significance level? What is the P-value of this test? =

Question I. Each of 51 golfers hit three golf balls of brand X and three golf balls of brand Y in a random order. Let X, and Y; equal the averages of the distances traveled by the brand X and brand Y golf balls hit by the i-th golfer, i = 1, 2, ..., 51. Let W₁ = X₁ - Yį, i = 1, 2, ..., 51. Test How = 0 against H₁ w > 0, where w is the mean of the differences. Let @ = 2.07 and s 84.63 be the observed sample mean and sample standard deviation of Wi's. Would Ho be accepted or rejected at an a = 0.05 significance level? What is the P-value of this test? =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Question I. Each of 51 golfers hit three golf balls of brand X and three golf balls of brand Y in a random order. Let X; and Y; equal the averages of the distances traveled by the brand X and brand Y golf balls hit by the i-th golfer, i = 1, 2, ..., 51. Let W₁ = X₁ — Yį, i = 1, 2, ..., 51. Test How = 0 against H₁ w > 0, where w is the mean of the differences. Let @ = 2.07 and s 84.63 be the observed sample mean and sample standard deviation of Wi's. Would Ho be accepted or rejected at an a = 0.05 significance level? What is the P-value of this test? =
Transcribed Image Text:Question I. Each of 51 golfers hit three golf balls of brand X and three golf balls of brand Y in a random order. Let X; and Y; equal the averages of the distances traveled by the brand X and brand Y golf balls hit by the i-th golfer, i = 1, 2, ..., 51. Let W₁ = X₁ — Yį, i = 1, 2, ..., 51. Test How = 0 against H₁ w > 0, where w is the mean of the differences. Let @ = 2.07 and s 84.63 be the observed sample mean and sample standard deviation of Wi's. Would Ho be accepted or rejected at an a = 0.05 significance level? What is the P-value of this test? =
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