91Ó°ÊÓ

A population consists of \(N=6\) numbers: \(1,3,4,7,10,11 .\) A random sample of size \(n=4\) is selected without replacement. Use this information. Find the sampling distribution of the sample mean, \(\bar{x}\).

Random samples of size \(n\) were selected from binomial populations with population parameters \(p\) given in Exercises \(1-3 .\) Find the mean and the standard deviation of the sampling distribution of the sample proportion \(\hat{p}\). $$n=100, p=.3$$

Random samples of size \(n\) were selected from a normal population with the means and variances. . Describe the shape of the sampling distribution of the sample mean and find its mean and standard error: $$ n=36, \mu=10, \sigma^{2}=9 $$

Select \(n=20\) experimental units from a population of size \(N=500\). (HINT: Since you need to use threedigit numbers, you can assign 2 three-digit numbers to each of the experimental units. For example, unit 1 would correspond to random numbers 001 and 501 , unit 2 would correspond to 002 and \(502,\) and so on.)

What is the purpose of an \(\bar{x}\) chart?

What is the purpose of a \(p\) chart?

Select \(n=20\) people from a population of size \(N=2000\) for a political opinion poll.

Random samples of size \(n\) were selected from a normal population with the means and variances. . Describe the shape of the sampling distribution of the sample mean and find its mean and standard error: $$ n=100, \mu=5, \sigma^{2}=4 $$

Random samples of size \(n\) were selected from binomial populations with population parameters \(p\) given in Exercises \(1-3 .\) Find the mean and the standard deviation of the sampling distribution of the sample proportion \(\hat{p}\). $$n=400, p=.1$$

A population consists of \(N=6\) numbers: \(1,3,4,7,10,11 .\) A random sample of size \(n=4\) is selected without replacement. Use this information. Find the sampling distribution of the sample median, \(m\)