Use critical thinking to develop an alternative conclusion. For example, consider a media report that BMW cars cause people to be healthy, because people who drive BMW cars are found to have better health than those who do not. The conclusion that BMW cars cause better health is probably wrong. Here is a better conclusion: BMW drivers tend to he wealthier than other adults, and greater wealth is associated with better health. Based on a study showing that college graduates tend to live longer than those who do not graduate from college, a researcher concludes that studying causes people to live longer.

Employ critical thinking to develop an alternative or correct conclusion. For example, consider a media report that BMW cars cause people to be healthier. Here is an alternative conclusion: Owners of BMW cars tend to be wealthier than others, and greater wealth is associated with better health.

Data published in USA Today were used to show that there is a correlation between the number of times songs are played on radio stations and the number of times the songs are purchased. Conclusion: Increasing the times that songs are played on radio stations causes sales to increase.

All 50 states of the United States have two senators. In general, this means that the voters who have the most voting power in Senate elections are a. those who vote for winning candidates. b. those who live in the most populous states. c. those who live in the least populous states.

An airplane moves at Mach 1.2 and produces a shock wave. (a) What is the speed of the plane in meters per second? (b) What is the angle that the shock wave moves?

Solve for the variable. Check your work. $\frac { 1 } { 6 } x - \frac { 2 } { 3 } x = 14$

Identify the (a) sample and (b) population. Also, determine whether the sample is likely to be representative of the population. During the Superbowl game, a survey of 5108 randomly selected households finds that 44% of them have television sets tuned to the Superbowl (based on data from Nielsen Media Research).

Use critical thinking to address the key issue. In a letter to the editor in the New York Times, Moorestown, New Jersey, resident Jean Mercer criticized the statement that "putting infants in the supine position has decreased deaths from SIDS." SIDS refers to sudden infant death syndrome, and the supine position is lying on the back with the face upward. She suggested that this statement is better: "Pediatricians advised the supine position during a time when the SIDS rate fell." What is wrong with saying that the supine position decreased deaths from SIDS?

If Angela has $100 to invest at 10% per annum compounded monthly, how long will it be before she has$175? If the compounding is continuous, how long will it be?

Use critical thinking to address the key issue. The New York Times published an article that included these statements: "At long last, chocolate moves toward its rightful place in the food pyramid, somewhere in the high-tone neighborhood of red wine, fruits and vegetables, and green tea. Several studies, reported in the Journal of Nutrition, showed that after eating chocolate, test subjects had increased levels of antioxidants in their blood. Chocolate contains flavonoids, antioxidants that have been associated with decreased risk of heart disease and stroke. Mars Inc., the candy company, and the Chocolate Manufacturers Association financed much of the research. "What is wrong with this study?

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence. 4, 10, 16, 22, ...

According to a state law for vehicles traveling on state roads, the maximum total weight of a vehicle and its contents depends on the number of axles on the vehicle. For each type of vehicle, writes and graph an inequality that represents the possible total weights w (in pounds) of the vehicle and its contents. 2 axles 40,000 lb 3 axles 60,000 lb 4 axles 80,000 lb

Health Care Expenditures. The Health Care Cost Institute tracks health care expenditures for beneficiaries under the age of 65 who are covered by employer-sponsored private health insurance. The data contained in the file DrugCost are consistent with the institute's findings concerning annual prescription costs per employee. Analyze the data using Excel and answer the following questions.

d. Which, if either, of the confidence intervals in parts (a) and (b) has a larger margin of error. Why?

The image of ΔABC reflected in the y-axis is ΔA'B'C'. If the coordinates of vertices A, B, and C are (-1, 3), (-3, 0), and (0, -2), respectively, then what are the coordinates of vertices A', B', and C'?

The Newport Chronicle issued a report stating that based on a sample of homes, the mean tax bill is $4626 with a margin of error of$591. Express the confidence interval in the format of $\bar{x}-E<\mu<\bar{x}+E$.