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.FirstFinalFirstFinalPlayerRoundRoundPlayerRoundRoundGolfer 17072Golfer 117272Golfer 27172Golfer 127270Golfer 37075Golfer 137073Golfer 47271Golfer 147075Golfer 57069Golfer 156870Golfer 66767Golfer 166865Golfer 77167Golfer 177170Golfer 86873Golfer 187068Golfer 96773Golfer 196968Golfer 107069Golfer 206771Suppose 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 ofplaying 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 ud= mean score first roundmean score fourth round.)Ho: Hd = 0Ha: Ha s 0Hoi Hd sOHa: Hd> 0Hoi Hd= 00 < Pn :0HHa: Hd s0Ho: Hd+ 0 PH .e,Ho: Ha# 0= 0Calculate 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-valueState your conclusion.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.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 finalround.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.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 finalround.(b) What is the point estimate of the difference between the two population means? (Use mean score first roundmean score fourth round.)For which round is the population mean score lower?The mean of the fourth round scores was lower than the mean of the first round scores.The mean of the first round scores was lower than the mean of the fourth round scores.O O

(a) The null and alternative hypothesis is; Ho: μd=0Ha: μd≠0 We know that the test statistic is…

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 Round Round Final First Final Round Round Player Player Golfer 1 70 72 Golfer 11 72 72 Golfer 2 71 72 Golfer 12 72 70 Golfer 3 70 75 Golfer 13 70 73 Golfer 4 72 71 Golfer 14 70 75 Golfer 5 70 69 Golfer 15 68 70 Golfer 6 67 67 Golfer 16 68 65 Golfer 7 71 67 Golfer 17 71 70 Golfer 8 68 73 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 µg = mean score first round – mean score fourth round.) O Ho: Hg = 0 O Ho: Hoi Hoso Hai Hg> 0 O Ho: Hg = 0 O Ho: Hd>0 Hại HgsO O Ho: Hg+ 0