A population has a mean $\mu$ and a standard deviation $\sigma$. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. $\mu=45, \sigma=15, n=100$

A population has a mean $\mu$=100 and a standard deviation $\sigma$=15. Find the mean and standard deviation of a sampling distribution of sample means with the given sample size n.

n=1000

A population has a mean $\mu$=100 and a standard deviation $\sigma$=15. Find the mean and standard deviation of a sampling distribution of sample means with the given sample size n.

n=50

A population has a mean

$$\mu = 150$$

and a standard deviation

$$\sigma = 25$$

. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. n = 1000

Find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population. The numbers of DVDs rented by each of four families in the past month are 8, 4, 16, and 2. Use a sample size of 3.

Identify the sampling technique used to obtain a sample. A state is divided into counties. A random sample of 12 counties is selected. A random sample from each of the 12 selected counties is selected.

Let's revisit the school system described in the earlier exercise. Four new sampling strategies have been proposed to help the PTA determine whether parents favor requiring elementary students to pass a test in order to be promoted to the next grade. For each, indicate what kind of sampling strategy is involved and what (if any) biases might result.

Randomly select one class at each elementary school and contact each of those parents.

Consider the following population of 10 numbers.

$$\begin{array}{llllllllll}20 & 25 & 13 & 19 & 9 & 15 & 11 & 7 & 17 & 30\end{array}$$

a. Find the population mean. b. Rich selected one sample of nine numbers from this population. The sample included the numbers $20,25,13,9,15,11,7,17$, and 30 . Calculate the sample mean and sampling error for this sample. c. Refer to part b. When Rich calculated the sample mean, he mistakenly used the numbers 20,25 , $13,9,15,11,17,17$, and 30 to calculate the sample mean. In this scenario, identify the sampling and nonsampling errors. d. Compile a list of all possible samples of nine numbers (without replacement) from this population. For each of these samples, determine the sampling error and sample mean.

Let's revisit the school system described in the earlier exercise. Four new sampling strategies have been proposed to help the PTA determine whether parents favor requiring elementary students to pass a test in order to be promoted to the next grade. For each, indicate what kind of sampling strategy is involved and what (if any) biases might result.

Hold a PTA meeting at each of the 20 elementary schools, and tally the opinions expressed by those who attend the meetings.

Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. Questioning students as they leave a university library, a researcher asks 358 students about their drinking habits.

Some polling agencies ask people to call a telephone number and give their response to a question. (a) List an advantage and a disadvantage of a survey conducted in this manner. (b) What sampling technique is used in such a survey?

Consider again the previous question. Suppose, however, that we do not know whether the samples had been drawn with or without replacement. Test whether sampling with replacement is a reasonable model.

State any errors that you think might occur in the sampling situation discussed.

A senator explains a vote in favor of a new bill by stating that 60% of the mail received favored the bill.

A simple random sample is to be drawn from a population of 800 . In order to have $95 \%$ confidence that the sampling error in estimating $\pi$ is no more than $0.03$, what sample size will be necessary?