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 First Final Player Round Round Player Round...


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.<br>First<br>Final<br>First<br>Final<br>Player<br>Round<br>Round<br>Player<br>Round<br>Round<br>Golfer 1<br>70<br>72<br>Golfer 11<br>72<br>72<br>Golfer 2<br>71<br>72<br>Golfer 12<br>72<br>70<br>Golfer 3<br>70<br>75<br>Golfer 13<br>70<br>73<br>Golfer 4<br>72<br>71<br>Golfer 14<br>70<br>75<br>Golfer 5<br>70<br>69<br>Golfer 15<br>68<br>70<br>Golfer 6<br>67<br>67<br>Golfer 16<br>68<br>65<br>Golfer 7<br>71<br>67<br>Golfer 17<br>71<br>70<br>Golfer 8<br>68<br>73<br>Golfer 18<br>70<br>68<br>Golfer 9<br>67<br>73<br>Golfer 19<br>69<br>68<br>Golfer 10<br>70<br>69<br>Golfer 20<br>67<br>71<br>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<br>playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down?<br>(a) Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores.<br>State the null and alternative hypotheses. (Use ud<br>= mean score first round<br>mean score fourth round.)<br>Ho: Hd = 0<br>Ha: Ha s 0<br>Hoi Hd sO<br>Ha: Hd> 0<br>Hoi Hd<br>= 0<br>0 < Pn :0H<br>Ha: Hd s0<br>Ho: Hd+ 0<br>

Extracted text: 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 First Final Player Round Round Player Round Round 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 ud = mean score first round mean score fourth round.) Ho: Hd = 0 Ha: Ha s 0 Hoi Hd sO Ha: Hd> 0 Hoi Hd = 0 0 < pn="" :0h="" ha:="" hd="" s0="" ho:="" hd+="">
PH .e,<br>Ho: Ha# 0<br>= 0<br>Calculate the value of the test statistic. (Round your answer to three decimal places.)<br>Calculate the p-value. (Round your answer to four decimal places.)<br>p-value<br>State your conclusion.<br>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.<br>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<br>round.<br>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.<br>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<br>round.<br>(b) What is the point estimate of the difference between the two population means? (Use mean score first round<br>mean score fourth round.)<br>For which round is the population mean score lower?<br>The mean of the fourth round scores was lower than the mean of the first round scores.<br>The mean of the first round scores was lower than the mean of the fourth round scores.<br>O O<br>

Extracted text: PH .e, Ho: Ha# 0 = 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. 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 final round. 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 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? 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
Jun 10, 2022
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