1. Jack tells Jean that he can throw a ball an average distance of 285 yards. Jean is skeptical and asks for substantiation. To that end Jack tosses a ball 30 times. The sample mean of Jack’s tosses is only 279.5 yards. Jack still maintains that on, average, he a ball 285 yards and that the relatively poor performance can be attributed to chance. At the 5% significance level, do the data provide sufficient evidence to conclude that Jack’s mean distance is less than 285 yards assuming a

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