Question

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 First Final Round Round First Final Round Round Player Golfer 1 Golfer 2 Golfer 3 Golfer 4 Golfer 5 Golfer 6 Golfer 7 Golfer 8 Golfer 9 Golfer 1070 Playe Golfer 11 Golfer 12 72 Golfer 13 70 Golfer 14 Golfer 15 68 Golfer 16 68 Golfer 17 71 Golfer 18 Golfer 19 69 Golfer 20 67 72 70 71 70 72 70 67 71 68 67 72 72 73 71 69 67 67 74 71 69 72 70 73 70 70 65 70 68 68 71 70 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 α = 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 dmean score first round- mean score fourth round.) a o o PdCalculate 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 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 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 O Reject Ho. There is sufficient evidence to conclude that the mean score for the first round of a golf tonament is significantly different than the mean score for the fourth and final final round round. round. 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 (b) 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 fourth round scores was lower than the mean of the first round scores. O The mean of the first round scores was lower than the mean of the fourth round scores.

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