Statistics for Business and Economics (13th Edition)

13th Edition

ISBN: 9780134506593

Author: James T. McClave, P. George Benson, Terry Sincich

Publisher: PEARSON

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Textbook Question

Chapter 4.2, Problem 4.24ACB

Choosing portable grill displays. Refer to the Journal of Consumer Research (Mar. 2003) marketing study of influencing consumer choices by offering undesirable alternatives, Exercise 3.109 (p. 180). Recall that each of 124 college students selected showroom displays for portable grills. Five different displays (representing five different-sized grills) were available, but the students were instructed to select only three displays in order to maximize purchases of Grill #2 (a smaller-sized grill). The table shows the grill display combinations and the number of times each was selected by the 124 students. Suppose one of the 124 students is selected at random. Let x represent the sum of the grill numbers selected by this student. (This value is an indicator of the size of the grills selected.)

a. Find the probability distribution for x.
b. What is the probability that x exceeds 10?

Grill Display Combination	Number of Students
1-2-3	35
1-2-4	8
1-2-5	42
2-3-4	4
2-3-5	1
2-4-5	34

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Chapter 4.2, Problem 4.23ACB

Chapter 4.2, Problem 4.25ACB

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Choosing portable grill displays. A study of how people attempt to influence the choices of others by offering undesirable alternatives was published in the Journal of Consumer Research (Mar. 2003). In one phase of the study, the researcher had each of 124 college students select showroom displays for portable grills. Five different displays (representing five different-sized grills) were available, but only three would be selected. The students were instructed to select the displays to maximize purchases of Grill #2 (a smaller grill).a. In how many possible ways can the three-grill displays be selected from the 5 displays? List the possibilities.b. The next table shows the grill display combinations and number of each selected by the 124 students. Use this information to assign reasonable probabilities to the different display combinations.c. Find the probability that a student who participated in the study selected a display combination involving Grill #1.

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Chapter 4 Solutions

Statistics for Business and Economics (13th Edition)

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Solution Summary: The author explains the probability distribution of x in a marketing study, where 124 college students are selected at random.

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