Chapter 6

What is a sampling distribution?

What are the two mathematical facts that describe how sampling distributions work?

What is the difference between a sampling distribution and a regular distribution?

What effect does sample size have on the shape of a sampling distribution?

For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means of size \(n=16\) fall above 82 ?

For a population with a mean of 100 and standard deviation of 16, what is the probability that a random sample of size 4 will have a mean between 110 and \(130 ?\)

Find the \(z\) -score for the following means taken from a population with mean 10 and standard deviation 2 : a. \(\bar{X}=8, n=12\) b. \(\bar{X}=8, n=30\) c. \(\bar{X}=20, n=4\) d. \(\bar{X}=20, n=16\)

For a population with a mean of 35 and standard deviation of 7 , find the sample mean of size \(n=20\) that cuts off the top \(5 \%\) of the sampling distribution.