Statistical Probability-Beer Problem
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A local beer producer sells two types of beer, a regular brand, and a light brand with 30% fewer calories. The company's marketing department wants to verify that its traditional approach to appealing to local white-collar workers with light beer commercials and appealing to local blue-collar workers with regular beer commercials is indeed a good strategy. A randomly selected group of 400 workers are questioned about their beer drinking preferences.
a)if a blue-collar worker is chosen at random from this group, what is the probability that he or she prefers light beer (to reg. beer or none at all)?
b)if a white-collar worker is chosen at random from this group, what is the probability that he or she prefers light beer (to reg. beer or none at all)?
c)if we restrict our attention to workers who like to drink beer, what is the probability that a randomly selected blue-collar worker prefers to drink light beer?
d)if we restrict our attention to workers who like to drink beer, what is the probability that a randomly selected white-collar worker prefers to drink light beer?
e)does the company's marketing strategy appear to be appropriate? explain wny/why not?
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Solution Summary
A probability problem giving excel data about beer preferences of white collar and blue collar workers asking how advertising dollars should be spent according to the data. Probabilities are calculated and recommendations about ad dollars are made based on the statistics found.
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a) We must sort the data by worker type and limit our focus to blue collar workers (if a blue collar worker is selected). Of the 250 blue collar workers listed, the data show that 111 prefer light beer. So, the probability is 111/250, or 44.4%
b) We must concentrate on the white collar worker pool (150 workers) ...
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