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Chapter 1: Q 28. (page 27)
Superpower Refer to Exercise 24.
(a) What proportion of students in the sample who prefer invisibility as their superpower are from the United States?
(b) What percent of students in the sample who are from the United Kingdom prefer superstrength as their superpower?
Part (a)
Part (b) 10%
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A smash or a hit?Researchers asked 150 subjects to recall the details of a car accident they watched on video. Fifty subjects were randomly assigned to be asked, “About how fast were the cars going when they smashed into each other?” For another 50 randomly assigned subjects, the words “smashed into” were replaced with “hit.” The remaining 50 subjects—the control group—were not asked to estimate speed. A week later, all subjects were asked if they saw any broken glass at the accident (there wasn’t any). The table shows each group’s response to the broken glass question.
(a) What proportion of subjects were given the control treatment?
(b) Find the distribution of responses about whether there was broken glass at the accident for the subjects in this study using relative frequencies.
(c) What percent of the subjects were given the “smashed into” treatment and said they saw broken glass at the accident?
For which of the following would it be inappropriate to display the data with a single pie chart?
(a) The distribution of car colors for vehicles purchased in the last month
(b) The distribution of unemployment percentages for each of the 50 states
(c) The distribution of favorite sport for a sample of 30 middle school students (d) The distribution of shoe type worn by shoppers at a local mall
(e) The distribution of presidential candidate preferences for voters in a state
Country music The lengths, in minutes, of the 50 most popular mp3 downloads of songs by country artist Dierks Bentley are given here.
Make a histogram to display the data. Write a few sentences describing the distribution of song lengths.
Who goes to movies?The bar graph displays data on the percent of people in several age groups who attended a movie in the past 12 months.
(a) Describe what the graph reveals about the relationship between age group and movie attendance.
(b) Would it be appropriate to make a pie chart of the data? Explain.
Strong paper towels In commercials for Bounty paper towels, the manufacturer claims that they are the “quicker picker-upper,” but are they also the stronger picker-upper? Two of Mr. Tabor’s statistics students, Wesley and Maverick, decided to find out. They selected a random sample of 30 Bounty paper towels and a random sample of 30 generic paper towels and measured their strength when wet. To do this, they uniformly soaked each paper towel with 4 ounces of water, held two opposite edges of the paper towel, and counted how many quarters each paper towel could hold until ripping, alternating brands. The data are displayed in the relative frequency histograms. Compare the distributions
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 number of quarters until breaking for the two paper towel brands
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