AP Statistics Discuss how the following situation does or does not satisfy the a

Question

AP Statistics

Discuss how the following situation does or does not satisfy the assumptions for the inference:

Signing bonuses are very common place in the NFL. Players receive bonus payment to sign with the team that drafted them. In 1998 the Indianapolis Colts gave Peyton Manning $11.6 million and the San Diego Chargers gave Ryan Leaf $11.25 million as signing bonuses. Suppose a sample of 18 NFL players report their signing bonuses at the start of the 1998 season and the results show a mean of $3.81 million and a standard deviation of $1.7 million.

Explanation / Answer

It seems that signing bonuses of Peyton Manning and Ryan Leaf is very in comparison to average signing bonuses of 18 palyers so distribution of signing bonuses is not normal distribution . It is not symmetric about mean. So assumption "populaiton should be normally distributed. " is not fullfilled.

So we should not use t test ot z test.

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