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Chapter 1: Q. 53. (page 48)
U.S. women鈥檚 soccer鈥�2016 Refer to Exercise 47. Describe the distribution.
Right skewed
Single peak at 1 goal
Gap between 6 and 8 goals
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Ranking colleges Popular magazines rank colleges and universities on their 鈥渁cademic quality鈥� in serving undergraduate students. Describe two categorical variables and two quantitative variables that you might record for each institution.
The Dallas Mavericks won the NBA championship in the 2010鈥�2011 season. The two-way table displays the relationship between the outcome of each game in the regular season and whether the Mavericks scored at least 100 points.
Which of the following is the best evidence that there is an association between the outcome of a game and whether or not the Mavericks scored at least 100 points?
(a) The Mavericks won 57 games and lost only 25 games.
(b) The Mavericks scored at least 100 points in 47 games and fewer than 100 points in only 35 games.
(c) The Mavericks won 43 games when scoring at least 100 points and only 14 games when scoring fewer than 100 points.
(d) The Mavericks won a higher proportion of games when scoring at least 100 points (43/47) than when they scored fewer than 100 points (14/35).
(e) The combination of scoring 100 or more points and winning the game occurred more often (43 times) than any other combination of outcomes.
Mean salary? Last year a small accounting firm paid each of its five clerks \(32,000, two junior accountants \)60,000 each, and the firm鈥檚 owner $280,000.
(a) What is the mean salary paid at this firm? How many of the employees earn less than the mean? What is the median salary?
(b) Write a sentence to describe how an unethical recruiter could use statistics to mislead prospective employees.
Value of a diploma Do students who graduate from high school earn more money than students who do not? To find out, we took a random sample of 371 U.S. residents aged 18 and older. The educational level and total personal income of each person were recorded. The data for the 57 non-graduates (No) and the 314 graduates (Yes) are displayed in the relative frequency histograms.
Part (a). Would it be appropriate to use frequency histograms instead of relative frequency histograms in this setting? Explain why or why not.
Part (b). Compare the distributions of total personal income for the two groups.
Watch that caffeine! The U.S. Food and Drug Adminis tration (USFDA) limits the amount of caffeine in a 12-ounce can of carbonated beverage to 72 milligrams. That translates to a maximum of 48 milligrams of caffeine per 8-ounce serving. Data on the caffeine content of popular soft drinks (in milligrams per 8-ounce serving) are displayed in the stemplot.
Part (a). Why did we split stems?
Part (b). Give an appropriate key for this graph.
Part (c). Describe the shape of the distribution. Are there any outliers?
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