The emerald ash borer is a serious threat to ash trees. A state agriculture department placed traps throughout the state to detect the emerald ash borer. When traps are checked periodically the mean number of ash brokers trapped is only 2.4 but some traps have many ash borers. The distribution of ash borers is finite and strongly skewed, with standard deviation of 3.7.

a) for n=50 sampling distribution description:

mean of sampling distribution of xs =

Standard deviation of sampling distribution: SD(x) =

b) standardised score of the given sample mean of ___

z statistic =

what is the probability that the average number of the insect in 50 traps exceeds the sample mean that was obtained ?