Do professional golfers play better in their last round? Let row B represent the score in the fourth (and final) round, and let row A represent the score in the first round of a professional golf tournament. A random sample of finalists in the British Open gave the following data for their first and last rounds in the tournament. Do the data indicate that the population mean score on the last round is higher than that on the first? Use a 5% level of significance. (Let d = B − A.) (a) What is the level of significance? (b)What is the value of the sample test statistic? (Round your answer to three decimal places.)
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
Do professional golfers play better in their last round? Let row B represent the score in the fourth (and final) round, and let row A represent the score in the first round of a professional golf tournament. A random sample of finalists in the British Open gave the following data for their first and last rounds in the tournament.
Do the data indicate that the population mean score on the last round is higher than that on the first? Use a 5% level of significance. (Let d = B − A.)
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