Problem 9BSC

Develop a simulation using a TI-83/84 Plus calculator, STATDISK, Minitab, Excel, or any other suitable calculator or computer software program.

Simulating Brand Recognition Study Refer to Exercise, which required a description of a simulation.

a. Conduct the simulation and record the number of consumers who recognize the brand name of McDonald’s. If possible, obtain a printed copy of the results. Is the proportion of those who recognize McDonald’s reasonably close to the value of 0.95?

b. Repeat the simulation until it has been conducted a total of 10 times. In each of the 10 trials, record the proportion of those who recognize McDonald’s. Based on the results, do the proportions appear to be very consistent or do they vary widely? Based on the results, would it be unlikely to randomly select 50 consumers and find that about half of them recognize McDonald’s?

Exercise

Describe the simulation procedure. (For example, to simulate 10 births, use a random number generator to generate 10 integers between 0 and 1 inclusive, and consider 0 to be a male and 1 to be a female.)

Brand Recognition The probability of randomly selecting an adult who recognizes the brand name of McDonald’s is 0.95 (based on data from Franchise Advantage). Describe a procedure for using software or a TI-83/84 Plus calculator to simulate the random selection of 50 adult consumers. Each individual outcome should be an indication of one of two results: (1) The consumer recognizes the brand name of McDonald’s; (2) the consumer does not recognize the brand name of McDonald’s

Solution 9BSC

The results are rather variable from 0.86 to 1.00 their mean value is 0.95. Based on these results, it would be extremely unusual for a sample of size 50 to yield a sample proportion near 0.50. That is it would be unlikely to randomly select 50 consumers and find that about half of them recognize McDonald’s.