Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 20 brands (7-UP, A&W Root Beer, Cherry Coke, ... , Tab). Are the statistics representative of the population of all cans of the same 20 brands consumed by Americans?

$$\begin{matrix} \text{0} & \text{0} & \text{34} & \text{34} & \text{34} & \text{45} & \text{41} & \text{51} & \text{55} & \text{36} & \text{47} & \text{41} & \text{0} & \text{0} & \text{53} & \text{54} & \text{38} & \text{0} & \text{41} & \text{47}\\ \end{matrix}$$

Listed below are measured amounts of caffeine (mg per 12 oz of drink) obtained in one can from each of 20 brands (7-UP, A&W Root Beer, Che1Ty Coke, ... , Tab). Are the statistics representative of the population of all cans of the same 20 brands consumed by Americans?

$$\begin{matrix} \text{0} & \text{0} & \text{34} & \text{34} & \text{34} & \text{45} & \text{41} & \text{51} & \text{55} & \text{36} & \text{47} & \text{41} & \text{0} & \text{0} & \text{53} & \text{54} & \text{38} & \text{0} & \text{41} & \text{47}\\ \end{matrix}$$

		Find the mode.

Construct the confidence interval estimate of the mean. Listed below are measured amounts of caffeine (mg per 12 oz of drink) obtained in one can from each of 20 brands (7UP, A&W Root Beer, Cherry Coke, . . . , TaB). Use a confidence level of 99%. Does the confidence interval give us good information about the population of all cans of the same 20 brands that are consumed? Does the sample appear to be from a normally distributed population? If not, how are the results affected?

$$\begin{array} { c c c c c c c c c c c c c c c } { 0 } & { 0 } & { 34 } & { 34 } & { 34 } & { 45 } & { 41 } & { 51 } & { 55 } & { 36 } & { 47 } & { 41 } & { 0 } & { 0 } & { 53 } & { 54 } & { 38 } & { 0 } & { 41 } & { 47 } \end{array}$$

In a large Business Statistics class, the professor has each person select stocks by throwing 16 darts at pages of the Wall Street Journal. They then check to see whether their stock picks rose or fell the next day and report their proportion of "successes." As a lesson, the professor has selected pages of the Journal for which exactly half the publicly traded stocks went up and half went down. He watches a cable news show about investing and during the show throws his darts at the pages of the Journal. He claims that of 200 stocks picked in this manner, $58 \%$ were winners.

a) What do you think of his claim? Explain.

Listed below are the weights in pounds of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII (the same players from the preceding exercise). Are the measures of variation likely to be typical of all NFL players?

$$\begin{array} { c c c c c c c c c } { 189 } & { 254 } & { 235 } & { 225 } & { 190 } & { 305 } & { 195 } & { 202 } & { 190 } & { 252 } & { 305 } \end{array}$$

Listed below are the numbers of Atlantic hurricanes that occurred in each year. The data are listed in order by year, starting with the year 2000. What important feature of the data is not revealed by any of the measures of variation?

$$\begin{matrix} \text{8} & \text{9} & \text{8} & \text{7} & \text{9} & \text{15} & \text{5} & \text{6} & \text{8} & \text{4} & \text{12} & \text{7} & \text{8} & \text{2}\\ \end{matrix}$$

Select the best answer. Your statistics class has 30 students. You want to call an SRS of 5 students from your class to ask where they use a computer for the online quizzes. You label the students 01, 02, ..., 30. You enter the table of random digits at this line: 14459; 26056; 31424; 80371; 65103; 62253; 22490; 61181. Your SRS contains the students labeled (a) 14, 45, 92, 60, 56. (b) 14, 31, 03, 10, 22. (c) 14, 03, 10, 22, 22. (d) 14, 03, 10, 22, 06. (e) 14, 03, 10, 22, 11.

Professional basketball has truly become a sport that generates interest among fans around the world. More and more players come from outside the United States to play in the National Basketball Association (NBA). Many factors could impact the number of wins achieved by each NBA team. In addition to the number of wins, the file NBA contains team statistics for points per game (for team, opponent, and the difference between team and opponent), field goal (shots made) percentage (for team and opponent), turnovers (losing the ball before a shot is taken) per game, and rebounds per game. You want to be able to predict the number of wins. Completely analyze the data.

Analyze the excerpt and answer the questions that follow. "Providing a high-quality education for all children is critical to America's economic future. Our nation's economic competitiveness and the path to the American Dream depend on providing every child with an education that will enable them to succeed in a global economy that is predicated [based] on knowledge and innovation." Does this passage support a stronger role for the federal government in education? Why or why not?

CSM Worldwide forecasts global production for all automobile manufacturers. The following CSM data show the forecast of global auto production for General Motors, Ford, DaimlerChrysler, and Toyota for the years 2004 to 2007 (USA Today, December 21, 2005). Data are in millions of vehicles.

$$\begin{matrix} \text{Manufacturer} & \text{2004} &\text{2005} &\text{2006} &\text{2007}\\ \hline\\ \text{General Motors} & \text{8.9} &\text{9.0} &\text{8.9} &\text{8.8}\\ \text{Ford} & \text{7.8} &\text{7.7} &\text{7.8} &\text{7.9}\\ \text{DaimlerChrysler} & \text{4.1} &\text{4.2} &\text{4.3} &\text{4.6}\\ \text{Toyota} & \text{7.8} &\text{8.3} &\text{9.1} &\text{9.6}\\ \end{matrix}$$

Construct a time series graph for the years 2004 to 2007 showing the number of vehicles manufactured by each automotive company. Show the time series for all four manufacturers on the same graph.

A model rocketry club placed an altimeter on one of its rockets. An altimeter measures the altitude, or height, of an object above the ground. Use these steps to perform a quadratic regression for the rocket data. Check that the data set is still entered as List 1 and List 2. Press STAT to select the Statistics menu. Then move the cursor to highlight the Calculate (CALC) submenu. Select 5: QuadReg to perform a quadratic regression on the data in List 1 and 2. Press ENTER. The calculator displays the values of a, b, and c for the standard form of the quadratic function that best fits the data. Write the equation of the quadratic model that results from the regression. Round coefficients and constants to the nearest tenth.

In 2015, global car giant Toyota recalled 181000 of its vehicles in Australia, equipped with faulty airbags supplied by Takata. The recall was announced to prevent increasing the risk of injury to drivers and passengers. Toyota acted quickly to reassure customers that the faulty airbags would be replaced free of charge, with the process taking about 90 minutes per vehicle. Identify two stakeholder groups from the case study.

A lab technician pours a quantity of a chemical into a beaker of water. The rate, R, in grams per second, at which the chemical dissolves can be modelled by the function $R(t)=\frac{2 t}{t^{2}+4 t}$, where t is the time, in seconds. a) By hand or using technology, sketch a graph of this relation. b) What is the equation of the horizontal asymptote? What is its significance? c) State an appropriate domain for this relation if a rate of 0.05 g/s or less is considered to be inconsequential.

2.7% of new vehicles sold in the United States during the first quarter of 2016 were hybrids, according to sales data. This is a decrease from 3.3% during the same time last year. According to an analyst's analysis of the statistics, the low price of fuel and the higher cost of a hybrid over other similar vehicles are two factors contributing to the sales fall. Let's assume that these numbers are unchanged in 2017. That is, in the first three months of 2017, hybrids made up 2.7% of new automobile sales. 40 vehicles from the Richmond, Virginia, area were selected as a sample. Use the Poisson distribution to find the probability that five of the sales were hybrid vehicles.