Answer Happy

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. Player Golfer 1 Golfer 2 Golfer 3 Golfer 4 Golfer 5 Golfer 6 Golfer 7 Golfer 8 Golfer 9 Golfer 101 First Round O Hoi Hd O H₂: Hg = 0 Ho: Md=0 H₂: Hg 0 O Hoi Hd > 0 H₂: My so 70 O Hoi Hd=0 H₂: My so 71 70 72 70 67 71 68 67 70 Final Round 72 72 75 71 69 67 67 72 71 69 Player Golfer 11 Golfer 12 Golfer 13 Golfer 14 Golfer 15 Golfer 16 Golfer 17 Golfer 18 Golfer 19 Golfer 201 First Round 72 72 70 70 68 68 71 70 69 67 Final Round 72 70 73 76 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.) O Ho Hd SO H₂: Hd > 0 70 68 68 71

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. 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. 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. 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. (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. 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.) Could this confidence interval have been used to test the hypothesis in part (a)? Explain. O Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval does not contain 0, the difference is not statistically significant. Ⓒ Yes. One could check to see if the 90% confidence interval includes a difference of 1. If the interval contains 1, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval contains 0, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of 1. If the interval does not contain 1, the difference is not statistically significant. O No. One can not use a confidence interval to test hypothesis in part (a) because hypothesis tests and confidence intervals are two different things.