Question

The mean throwing distance of a football for a Marco, a high school freshman quarterback, is 40 yards, with a standard deviation of two yards. The team coach tells Marco to adjust his grip to get more distance. The coach records the distances for 20 throws. For the 20 throws, Marco's mean distance was 45 yards. The coach thought the different grip helped Marco throw farther than 40 yards. Test the coach's claim at a = 0.05. Assume the throw distances for footballs are normal.

Answer 1

M = 40 .. . =2., n=20 ł = 45. x = 0.05 Hypothesi Hoirs 40 HA: > 40 throw distances are normal Given that ã -M z test 5 Test stat = 45 - 40 a $ 5/0.4472 o. 4472 1.1807 one-tail test cmitical value i Zrest > Zaritical 0.05 Reject null o 1.65 true The coach's claim can be accepted as at the ginen con pdence level

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