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 x .

(a) As the sample size becomes increasingly large, what distribution does the x distribution approach?

(b) As the sample size becomes increasingly large, what value will the mean x m of the x distribution approach?

(c) What value will the standard deviation x s of the sampling distribution approach?

(d) How do the two x distributions for sample size n 5 50 and n 5100 compare?

AppendixLO1