Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in t

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Scores In The First And Fourth Final Rounds For A Sample Of 20 Golfers Who Competed In Golf Tournaments Are Shown In T 1 (55.61 KiB) Viewed 115 times

Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table. Final First Round Final First Round Player Round Player Round Golfer 1 70 72 Golfer 11 72 72 Golfer 2 71 72 Golfer 12 72 70 Golfer 3 70 73 Golfer 13 70 73 Golfer 4 72 71 Golfer 14 70 77 Golfer 5 70 69 Golfer 15 68 70 Golfer 6 67 67 Golfer 16 68 65 Golfer 7 71 68 Golfer 17 71 70 Golfer 8 68 75 Golfer 18 70 68 Golfer 9 67 73 Golfer 19 69 68 Golfer 10 70 69 Golfer 20 67 71 Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down? (a) Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. State the null and alternative hypotheses. (Use ug = mean score first round - mean score fourth round.) O HO= 0 Hai uso O Ho: Mg> 0 Hailloso Оно: иако Hallo > 0 O Ho: My = 0 Hatud 0 O Ho: Moto Ho: Mo = 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.
State your conclusion. O Reject Ho. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. O Do not reject Ho. There is insufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. O Reject H. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. O Do not Reject Ho. There is sufficient evidence to conclude that the mean score for the first round of a golf tournament is significantly different than the mean score for the fourth and final round. What is the point estimate of the difference between the two population means? (Use mean score first round - mean score fourth round.) For which round is the population mean score lower? O The mean of the first round scores was lower than the mean of the fourth round scores. The mean of the fourth round scores was lower than the mean of the first round scores.