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 increasedplayer 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 u, = mean score first round - mean score fourth round.)O Ho: H+ 0H: H = 0Hạ: Hg 0O Ho: Hg0O Ho: Hg = 0H: H #0o = Pri :°H OCalculate the value of the test statistic. (Round your answer to three decimal places.)-1.136 XCalculate the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.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 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 H.. 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 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. You may need to use the appropriate technology to answer this 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.FirstFinalFirstFinalPlayerRoundRoundPlayerRoundRoundGolfer 17072Golfer 117272Golfer 27172Golfer 127270Golfer 37075Golfer 137073Golfer 47271Golfer 147074Golfer 57069Golfer 156870Golfer 66767Golfer 166865Golfer 77167Golfer 177170Golfer 86873Golfer 187068Golfer 96772Golfer 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 of playing in the final round cause scores to go up? Or does the increasedplayer 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 u, = mean score first round - mean score fourth round.)

Question

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 increasedplayer 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 u, = mean score first round - mean score fourth round.)O Ho: H+ 0H: H = 0Hạ: Hg> 0O Ho: Hg>0O Ho: Hg = 0H: H #0o = Pri :°H OCalculate the value of the test statistic. (Round your answer to three decimal places.)-1.136 XCalculate the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.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 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 H.. 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 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. You may need to use the appropriate technology to answer this 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.FirstFinalFirstFinalPlayerRoundRoundPlayerRoundRoundGolfer 17072Golfer 117272Golfer 27172Golfer 127270Golfer 37075Golfer 137073Golfer 47271Golfer 147074Golfer 57069Golfer 156870Golfer 66767Golfer 166865Golfer 77167Golfer 177170Golfer 86873Golfer 187068Golfer 96772Golfer 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 of playing in the final round cause scores to go up? Or does the increasedplayer 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 u, = mean score first round - mean score fourth round.)

Accepted Answer

Given the data of the first and fourth (final) rounds for a sample of 20 golfers who competed in…

Player	First Round	Final Round
Golfer 1	70	72
Golfer 2	71	72
Golfer 3	70	75
Golfer 4	72	71
Golfer 5	70	69
Golfer 6	67	67
Golfer 7	71	67
Golfer 8	68	73
Golfer 9	67	72
Golfer 10	70	69
Golfer 11	72	72
Golfer 12	72	70
Golfer 13	70	73
Golfer 14	70	74
Golfer 15	68	70
Golfer 16	68	65
Golfer 17	71	70
Golfer 18	70	68
Golfer 19	69	68
Golfer 20	67	71