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 FinalFirstRoundRoundRoundPlayerGolfer 1Golfer 2Golfer 3Golfer 4Golfer 5Golfer 6Golfer 7Golfer 8Golfer 9Golfer 10Ho: Md = 0Ha: Md #0Ho: Md > 0H₂: Hd ≤0O Ho: Md 0Ha: Md = 070Ho: Md ≤0Ha: Hd > 071707270677168677072727371696767757169PlayerGolfer 11Golfer 12Golfer 13Golfer 14Golfer 15Golfer 16Golfer 17Golfer 18Golfer 19Golfer 2072727070686871706967FinalRound7270Calculate the p-value. (Round your answer to four decimal places.)p-value=73777065Suppose 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 μ = mean score first round - mean score fourth round.)Ho: Hd = 0Ha: Hd ≤o70686871Calculate the value of the test statistic. (Round your answer to three decimal places.)EXState your conclusion.O 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.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.Enter a number. eject 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 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?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.(c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)

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 Final Round Round Round 72 Player Golfer 1 Golfer 2 Golfer 3 Golfer 4 Golfer S Golfer 6 Golfer 7 Golfer B Golfer 9 Golfer 10 Ho! Mg = 0 H₂! Maso OM₂ M₂0 H₂: MgO Ho! Mg > O H₂: Maso First Round ⒸHO! HO H₂! MO Ho! Mg 50 70 71 70 72 70 67 71 68 67 70 72 72 73 71 69 67 67 75 71 Player Golfer 11 Golfer 12 Golfer 13 Golfer 14 Golfer 15 Golfer 16 Golfer 17 Golfer 18 Golfer 19 Golfer 20 72 70 70 68 68 71 70 69 67 72 70 Calculate the p-value. (Round your answer to four decimal places.) P-value- 73 77 70 65 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 - mean score first round - mean score fourth round.) A 70 68 68 71 Calculate the value of the test statistic. (Round your answer to three decimal places.) 1 State your conclusion. O Reject Mo. 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 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. Enter a number ject Me. 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 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. (c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)