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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: $$ n=8, \mu=120, \sigma^{2}=1 $$

Select \(n=15\) voters from a population of 50,000 voters.

Explain the difference between an \(\bar{x}\) chart and a \(p\) chart

A population consists of \(N=5\) numbers: \(11,12,15,18,20 .\) A random sample of size \(n=3\) 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 \(\hat{p}\). $$n=250, p=.6$$

Is it appropriate to use the normal distribution to approximate the sampling distribution of \(\hat{p}\) for the situations described in Exercises \(4-8 ?\) $$n=50, p=.05$$

A population consists of \(N=5\) numbers: \(11,12,15,18,20 .\) A random sample of size \(n=3\) is selected without replacement. Use this information. Find the sampling distribution of the sample median, \(m\).

Determine the upper and lower control limits for an \(\bar{x}\) chart. Construct the control chart and explain how it can be used. The sample means were calculated for 30 samples of size \(n=10\) for a process that was judged to be in control. The means of the \(30 \bar{x}\) -values and the standard deviation of the combined 300 measurements were \(\overline{\bar{x}}=20.74\) and \(s=.87,\) respectively

Select \(n=10\) drivers from a DMV database containing 20,000 drivers.

Random samples of size \(n\) were selected from a nonnormal population with the means and variances. What can be said about the sampling distribution of the sample mean? Find the mean and standard error for this distribution. $$ n=8, \mu=120, \sigma^{2}=1 $$