\fSuppose you would like to determine if the mean score for the first round of a golf tournament event is signicantly different than the mean score for the fourth and final round. Does the pressure of playing in the nal round cause scores to go up? Or does the increased player concentration cause scores to come down? (a) Use a = 0.1.!) to test for a statistically signicantly difference between the population means for rst and fourth-round scores. State the null and alternative hypotheses. (Use pad = mean score rst round mean score fourth round.) H0:lud=O Ha:.ud#0 OHo:pd50 Ha:ud>0 Calculate the value of the test statistic. [Round your answer to three decimal places.) |:| Calculate the pvalue. (Round your answer to four decimal places.) State your conclusion. 0 Do not reject H0. There is insufcient evidence to conclude that the mean score for the rst round ofa golf tournament is signicantly different than the mean score for the Fourth and nal round. 0 Reject HO' There is sufcient evidence to conclude that the mean score for the rst round of a golf tournament is signicantly different than the mean score for the fourth and nal round. 0 Do not Reject \"0' There is sufcient evidence to conclude that the mean score for the rst round ofa golf tournament is significantly different than the mean score for the fourth and nal round. 0 Reject Ho' There is insufcient evidence to conclude that the mean score for the rst round of a golf tournament is significantly different than the mean score for the fourth and nal round. (b) What is the point esmate of the difference between the two population means? [Use mean score rst round mean score fourth round.) |:| For which round is the population mean score lower? 0 The mean of the rst round scores was lower than the mean of the fourth round scores. 0 The mean of the fourth round scores was lower than the mean of the rst round scores. (c) What is the margin of error for a 90% condence interval estimate for the difference between the population means? [Round your answer to two decimal places.) |:| Could this condence interval have been used to test the hypothesis in part {a}? Explain. 0 Yes. One could check to see if the 90% confidence interval includes a difference of l. Ifthe interval contains 1, the difference is not statistically signicant. 0 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 signicant. 0 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 signicant. 0 Yes. One could check to see if the 90% confidence interval includes a difference of 1. Ifthe interval does not contain 1, the difference is not statistically signicant. 0 No. One can not use a condence interval to test hypothesis in part {3} because hypothesis tests and confidence intervals are two different things