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Chapter 1: Q. 54. (page 48)
Fuel efficiency Refer to Exercise 48. Describe the distribution.
Left skewed
Single peak
Gap between -2 mpg and 6 mpg
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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, 鈥淎bout how fast were the cars going when they smashed into each other?鈥� For another 50 randomly assigned subjects, the words 鈥渟mashed into鈥� were replaced with 鈥渉it.鈥� The remaining 50 subjects鈥攖he control group鈥攚ere not asked to estimate speed. A week later, all subjects were asked if they saw any broken glass at the accident (there wasn鈥檛 any). The table shows each group鈥檚 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 鈥渟mashed into鈥� treatment and said they saw broken glass at the accident?
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.
Body imageA random sample of 1200 U.S. college students was asked, 鈥淲hat is your perception of your own body? Do you feel that you are overweight, underweight, or about right?鈥� The two-way table summarizes the data on perceived body image by gender.
(a) What percent of respondents feel that their body weight is about right?
(b) What proportion of the sample is female?
(c) What percent of respondents are males and feel that they are overweight or underweight?
Paying for championships Refer to Exercise 73. Here is a better graph of the 2008 salary distributions for the Yankees and the Phillies. Write a few sentences comparing these two distributions.
The following partially completed two-way table shows the marginal distributions of gender and handedness for a sample of 100 high school students.
If there is no association between gender and handedness for the members of the sample, which of the following is the correct value of x?
(a) 20
(b) 30
(c) 36
(d) 45
(e) Impossible to determine without more information.
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