Two baseball-playing statistics students collected data on baseball player run-times. Players were required to run 50 meters 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 alpha equals 0.05.
F = ______ (Round to two decimal places as needed.)
Two baseball-playing statistics students collected data on baseball player run-times. Players were required to run 50 meters 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 α = 0.05. Click the icon to view the run times.
Let out 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.
A. H0: out = in = cat Ha: The mean run time is different for at least one position.
B. H0: The mean run time is the same for at least one position Ha: out = in = cat
C. H0: out = in = at Ha: out ≠ cat
D. H0: out ≠ cat Ha: out = in = cat
What is the test statistic? F = (Round to two decimal places as needed.)
Run Times
Outfielders: 6.67, 6.78, 7.18, 7.39, 7.04, 6.37, 7.15, 7.04, 7.44, 6.89
Infielders: 7.64, 7.17, 6.34, 7.13, 7.07, 7.18, 6.92, 7.02, 8.51, 6.31
Catchers: 7.94, 7.77, 7.87, 7.64, 8.85, 7.51
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