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Chapter 11: Q-18E (page 649)

A company is analysing the prices at which its items are sold. Graph the relative frequency histogram for the 600 items summarized in the accompanying relative frequency table.

Short Answer

Expert verified

A graph that displays frequencies using vertical columns. And there are no spaces among the bars.

Step by step solution

01

Given information

02

Frequency histogram

A frequency histogram is a graph of a frequency and percentage in which the width, as well as location of rectangles, represent the different classes, as well as the height of those rectangles, represents the regularity with which data fell into the corresponding class. A graph that displays frequencies using vertical columns. And there are no spaces among the bars.

03

Measurement classes

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Most popular questions from this chapter

In each case, graph the line that passes through the given points.

a. (1, 1) and (5, 5) b. (0, 3) and (3, 0)

c. (-1, 1), and (4, 2) d. (-6, -3) and (2, 6)

State Math SAT scores. Refer to the simple linear regression relating y = 2014 Math SAT scores to x = 2010 Math SAT scores, Exercise 11.19 (p. 654). A portion of the SPSS printout of the analysis is shown below.

a. Locate the values of SSE, s2, and s on the SPSS printout.

b. Give a practical interpretation of the value of s.

Refer to Exercise 11.14 (p. 653). Calculate SSE and s for the least-squares line. Use the value of s to determine where most of the errors of prediction lie.

Motivation and right-oriented bias. Evolutionary theory suggests that motivated decision makers tend to exhibit a right-oriented bias. (For example, if presented with two equally valued detergent brands on a supermarket shelf, consumers are more likely to choose the brand on the right.) In Psychological Science (November 2011), researchers tested this theory using data on all penalty shots attempted in World Cup soccer matches (totaling 204 penalty shots). The researchers believed that goalkeepers, motivated to make a penalty-shot save but with little time to make a decision, would tend to dive to the right. The results of the study (percentages of dives to the left, middle, or right) are provided in the table. Note that the percentages in each row corresponding to a particular match situation add to 100%. Use graphs to illustrate the distribution of dives for the three-match situations. What inferences can you draw from the graphs?

Source: Based on M. Roskes et al., "The Right Side? Under Time Pressure, Approach Motivation Leads to Right-Oriented Bias," Psychological Science, Vol. 22, No. 11, November 2011 (adapted from Figure 2)11

Do nice guys really finish last in business? Refer to the Nature (March 20, 2008) study of whether “nice guys finish last” in business, Exercise 11.18 (p. 653). Recall that college students repeatedly played a version of the game “prisoner’s dilemma,” where competitors choose cooperation, defection, or costly punishment. At the conclusion of the games, the researchers recorded the average payoff and the number of times punishment was used for each player. Based on a scatter plot of the data, the simple linear regression relating average payoff (y) to punishment use (x) resulted in SSE = 1.04.

a. Assuming a sample size of n = 28, compute the estimated standard deviation of the error distribution, s.

b. Give a practical interpretation of s.
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