Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 19

Critical Thinking Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means
.
(a) As the sample size becomes increasingly large, what distribution does the
distribution approach
(b) As the sample size becomes increasingly large, what value will the mean
of the
distribution approach
(c) What value will the standard deviation
of the sampling distribution approach
(d) How do the two
distributions for sample size n = 50 and n = 100 compare