Identify National Guard, attorney general, secretary of state, Missouri Plan.

Based on past experience, $20 \%$ of the contacts made by a firm's sales representatives result in a sale being made. Charlie has contacted 100 potential customers but has made only 10 sales. Assume that Charlie's contacts represent a simple random sample of those who could have been called upon. Given this information:

A simple random sample of pages from Merriam-Webster's Collegiate Dictionary. 11th edition was obtained. Listed below are the numbers of defined words on those pages, and they are arranged in order. Make a boxplot and include the values of the 5 -number summary.

$$\begin{array}{llllllllll} 34 & 36 & 39 & 43 & 51 & 53 & 62 & 63 & 73 & 79 \end{array}$$

Compare your answers in the previous exercise. How much influence does the sampling method have on your chances of winning a prize?

Why do you think many people considered Columbus' plan to be controversial?

Given a simple random sample of 20 speeds of cars on Highway 405 in California, you want to test the claim that the sample values are from a population with a mean greater than the posted speed limit of $65 \mathrm{mi} / \mathrm{h}$. Is it necessary to determine whether the sample is from a normally distributed population? If so, what methods can be used to make that determination?

Work in a group of four to plan your ten-year class reunion in Punta Cana, Dominican Republic. Plan how long the reunion will be, what activities people can participate in, and what food will be served. Create an invitation and present it to the class. After looking at all of the invitations, vote for the plan that you want to use for your class reunion.

Listed below are annual salaries (in thousands of dollars) for a simple random sample of NCAA Division 1-A head football coaches (based on data from the New York Times).

$$\begin{array}{llllllllll} 235 & 159 & 492 & 530 & 138 & 125 & 128 & 900 & 360 & 212 \end{array}$$

d. Find the variance $s^2$ and express the result in appropriate units.

The sampling distribution for the goodness of fit test is the

A. Poisson distribution
B. t distribution
C. normal distribution
D. chi-square distribution

Listed below are annual salaries (in thousands of dollars) for a simple random sample of NCAA Division 1-A head football coaches (based on data from the New York Times).

$$\begin{array}{llllllllll} 235 & 159 & 492 & 530 & 138 & 125 & 128 & 900 & 360 & 212 \end{array}$$

a. Find the mean $\bar{x}$ and express the result in dollars instead of thousands of dollars.

Monthly Sales Data. A simple random sample of 5 months of sales data provided the following information:

$$\begin{array}{lrrrrr}\text { Month: } & 1 & 2 & 3 & 4 & 5 \\ \text { Units Sold: } & 94 & 100 & 85 & 94 & 92\end{array}$$

a. Develop a point estimate of the population mean number of units sold per month.

Test the given claim. Assume that both samples are independent simple random samples from populations having normal distributions.

A random sample of 13 four-cylinder cars is obtained, and the braking distances are measured and found to have a mean of $137.5 \mathrm{ft}$ and a standard deviation of $5.8 \mathrm{ft}$. A random sample of 12 six-cylinder cars is obtained and the braking distances have a mean of $136.3 \mathrm{ft}$ and a standard deviation of $9.7 \mathrm{ft}$. Use a $0.05$ significance level to test the claim that braking distances of four-cylinder cars and braking distances of six-cylinder cars have the same standard deviation.

The number of dirt specks on a randomly selected square yard of polyethylene film of a certain type has a Poisson distribution with a mean value of 2 specks per square yard. Consider a random sample of $n=5$ film specimens, each having area 1 square yard, and let $\bar{X}$ be the resulting sample mean number of dirt specks. Obtain the first 21 probabilities in the $\bar{X}$ sampling distribution.

The earlier exercise presents the results of a poll evaluating support for the health care public option plan in 2009. $70 \%$ of 819 Democrats and $42 \%$ of 783 Independents support the public option.

(a) Calculate a $95 \%$ confidence interval for the difference between $\left(p_D-p_I\right)$ and interpret it in this context. We have already checked conditions for you.

(b) True or false: If we had picked a random Democrat and a random Independent at the time of this poll, it is more likely that the Democrat would support the public option than the Independent.