Tiger Golf is a major supplier of golf equipment. Management belleves that Tiger Golf's market share could be increased with the introduction of a new golf ball which is cut-resistant and longer-lasting. Therefore, the research group at Tiger Golf has been investigating a new coating for the golf ball. The tests with the coating have yielded promising results. One of the researchers voiced concern about the effect of the new coating on driving distances; the company wants the new model to offer driving distances comparable to those of their current model. To compare, 40 balls of both the new and current models were subjected to distance tests with a mechanical hitting machine. This way, any difference between the mean distances for the two models could be attributed to a difference in the two models and not to the person hitting the ball. Consider the results of the tests, with distances measured to the nearest yard, in the complete data set: DATAfile (CSV): TigerGolf DATAfile (XLSX): TigerGolf (a) Find the mean and standard deviation for the driving distance (in yards) for the current and new models of Tiger Golf balls. (Round your answers to three decimal places.) (b) Conduct a hypothesis test that Tiger Golf could use to compare the driving distances of the current and new golf balls. (You may need to use the appropriate appendix table or technology to answer this question.) Formulate hypotheses that can be used to determine whether the sample data support the hypothesis that the population mean driving distance for the current golf ball is longer than that of the new golf ball. Let 1= population mean driving distance for the current golf ball and 2= population mean driving distance for the new golf ball. (b) Conduct a hypothesis test that Tiger Golf could use to compare the driving distances of the current and new goif balls. (You may need to use the appropriate appendix table or technology to answer this question.) Formulate hypotheses that can be used to determine whether the sample data support the hypothesis that the population mean driving distance for the current golf ball is longer than that of the new golf ball. Let 1= population mean driving distance for the current golf ball and 2= population mean driving distance for the new golf ball. State the null and alternative hypotheses. H0:12=0Ha:12=0H0:120Ha:120H0:12=0Ha:12=0 (c) Find the value of the test statistic. (Use 12. Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) Using =0.05, state your conciusion. The null hypothesis be rejected. There sufficient evidence to conclude that the population mean driving distance for the current golf ball is longer than that of the new golf ball. (d) You may need to use the appropriate appendix table or technology to answer this question. Develop a 95% confidence interval for the popalation mean driving distance in yards of each model. (Round your (c) Find the value of the test statistic. (Use 12. Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) Using =0.05, state your conclusion. The null hypothesis be rejected. There sufficient evidence to conclude that the population mean driving distance for the current golf ball is longer than that of the new golf ball. (d) You may need to use the appropriate appendix table or technology to answer this question. Develop a 95% confidence interval for the population mean driving distance in yards of each model. (Round your answers to two decimal places.) CurrentNewydtoydtoydyd (e) Develop a 95% confidence interval for the difference between the means of the two populations. Use current- new. (Round your answers to two decimal places.) yd to yy (f) Comment on the confidence intervals. The confidence intervals for the population mean driving distance . The confidence interval for the difference between the means zero. Thus, the result from the hypothesis test is by the confidence intervals. That is, there is evidence to conclude that the mean driving distance for the current golf ball is longer than that of the new golf ball
