Chapter 1: Q. 52. (page 48)
Easy reading? Refer to Exercise 46. Describe the shape of the distribution.
Short Answer
Roughly symmetric
Single peak
No gaps
Chapter 1: Q. 52. (page 48)
Easy reading? Refer to Exercise 46. Describe the shape of the distribution.
Roughly symmetric
Single peak
No gaps
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Get started for freeWomen and children first? Here’s another table that summarizes data on survival status by gender and class of travel on the Titanic:
(a) Find the distributions of survival status for males and for females within each class of travel. Did women survive the disaster at higher rates than men? Explain.
(b) In an earlier example, we noted that survival status is associated with class of travel. First-class passengers had the highest survival rate, while third-class passengers had the lowest survival rate. Does this same relationship hold for both males and females in all three classes of travel? Explain.
Paying for championships Does paying high salaries lead to more victories in professional sports? The New York Yankees have long been known for having Major League Baseball’s highest team payroll. And over the years, the team has won many championships. This strategy didn’t pay off in 2008, when the Philadelphia Phillies won the World Series. Maybe the Yankees didn’t spend enough money that year. The figure shows histograms of the salary distributions for the two teams during the 2008 season. Why can’t you use these graphs to effectively compare the team payrolls?
Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student’s country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table.
(a) What proportion of students in the sample are from the United States?
(b) Find the distribution of superpower preference for the students in the sample using relative frequencies.
(c) What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?
Shopping spree The stemplot displays data on the amount spent by 50 shoppers at a grocery store. Note that the values have been rounded to the nearest dollar.
Part (a) What was the smallest amount spent by any of the shoppers?
Part (b) Describe the distribution of amount spent by these 50 shoppers.
Enhancing creativity Do external rewards—things like money, praise, fame, and grades —promote creativity? Researcher Teresa Amabile recruited 47 experienced creative writers who were college students and divided them at random into two groups. The students in one group were given a list of statements about external reasons (E) for writing, such as public recognition, making money, or pleasing their parents. Students in the other group were given a list of statements about internal reasons (I) for writing, such as expressing yourself and enjoying wordplay. Both groups were then instructed to write a poem about laughter. Each student’s poem was rated separately by 12 different poets using a creativity scale. 26 These ratings were averaged to obtain an overall creativity score for each poem. Parallel dotplots of the two groups’ creativity scores are shown here.
Part (a). Is the variability in creativity scores similar or different for the two groups? Justify your answer.
Part (b). Do the data suggest that external rewards promote creativity? Justify your answer.
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