Answered: 1. To test whether a golf ball of brand…

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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Transcribed Image Text:1. To test whether a golf ball of brand A can be hit farther off the tee than a golf ball of brand B, each of 12 golfers hit a ball of each brand (six of the golfers hit brand A before brand B, the other six golfers hit brand B prior to brand A). Here are the results: Golfer 1 2 3 4 5 6 7 18 9 10 11 12 Distance for Brand A 245 251 266 254 276 266 243 239 258 260 273 244 Distance for Brand B 253 259 265 274 284 282 279 260 264 290 288 264 Assume that the differences of the paired A distance and B distance are approximately Normally distributed and test the null hypothesis: Ho : μα = 0 against the alternative hypothesis, Ha Hd <0 Note: the difference for an individual golfer is defined as: d = Brand A distance Brand B distance Use a paired t-test with a level of significance of a = .10. Be sure to identical the critical region for the test, the degrees of freedom for the test statistics, the value of the test statistic and your conclusion for the test.

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