Question

. Suppose the parent population has an exponential distribution (like the density curve of the

age of pennies) with a mean of 15 and standard deviation of 12. Use the Central Limit Theorem

to inform you, then draw the sampling distribution of ?̅ when n=30.

PLEASE DRAW THE SAMPLING DISTRIBUTION of ?̅ when n=30.

Answer 1

Solution :

Given that ,

mean = = 15

standard deviation = = 12

n = 30

mean of sampling distribution of ?̅

= = 15

standard deviation of sampling distribution of ?̅

=  / n= 12/ 30=2.19