*7. Two baseball-playing statistics students collected data on baseball player run-times. Players were required to run 50 metres and were timed in seconds. (Pitchers did not have to run.) Assume that the distribution of each population (outfielders, infielders, catchers) is close enough to Normal to satisfy the Normal condition for using ANOVA. Test the hypothesis that different positions have different mean run-times using a significance level of = 0.05. 1 Click the icon to view the run times. Let Hout represent the mean outfielder run time, let in represent the mean infielder run time, and let cat represent the mean catcher run time. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho Hout Hin "cat HA: Hout #Hin #cat OB. Ho: Hout Hin * "cat HA Hout Hin cat OC. Ho Hout Min = "cat HA The mean run time is different for at least one position. OD. Ho: The mean run time is different for at least one position. HA: Hout Min = "cat What is the test statistic? F= What is the p-value? p-value= (Round to two decimal places as needed.) (Round to three decimal places as needed.) What is the correct conclusion? A. Reject the null hypothesis. There is sufficient evidence to conclude that different positions have different mean run-times. B. Reject the null hypothesis. There is not enough evidence to conclude that different positions have different mean run-times. C. Do not reject the null hypothesis. There is sufficient evidence to conclude that different positions have different mean run-times. D. Do not reject the null hypothesis. There is not enough evidence to conclude that different positions have different mean run-times. 1: Run Times Outfielders Infielders Catchers 6.75 7.63 7.94 6.73 7.25 7.87 7.16 6.34 7.89 7.37 7.12 7.63 7.03 7.04 8.85 What is the test statistic? F= What is the p-value? p-value= (Round to two decimal places as needed.) (Round to three decimal places as needed.) What is the correct conclusion? A. Reject the null hypothesis. There is sufficient evidence to conclude that different positions have different mean run-times. B. Reject the null hypothesis. There is not enough evidence to conclude that different positions have different mean run-times. C. Do not reject the null hypothesis. There is sufficient evidence to conclude that different positions have different mean run-times. D. Do not reject the null hypothesis. There is not enough evidence to conclude that different positions have different mean run-times. 1: Run Times Outfielders Infielders Catchers 6.75 7.63 7.94 6.73 7.25 7.87 7.16 6.34 7.89 7.37 7.12 7.63 7.03 7.04 8.85 6.31 7.13 7.45 7.14 6.94 7.09 7.02 7.49 8.57 6.95 6.35 6.99 7.14 7.35