International Foods, Inc., manufacturer of Zesty, a special Italian tomato sauce, is interested in discovering whether consumers can tell the difference between a competitor’s more expensive sauce and its own. 15 persons are given a sample of Zesty and then a sample of the competitor’s sauce. Then they are each asked to identify the competitor’s brand. It is customary to hypothesize that there is no difference in the tastes; if it is so, the chances that a person identifying the competitor’s brand is 0.50. what is the probability that: a. 12 of the 15 persons in the test will correctly identify the competitor’s brand if the hypothesis is really true? b. At most 2 persons will correctly identify the competitor’s brand? c. Between 10 and 12 inclusive, will identify correctly the competitor’s brand?
International Foods, Inc., manufacturer of Zesty, a special Italian tomato sauce, is interested in discovering whether consumers can tell the difference between a competitor’s more expensive sauce and its own. 15 persons are given a sample of Zesty and then a sample of the competitor’s sauce. Then they are each asked
to identify the competitor’s brand. It is customary to hypothesize that there is no difference in the tastes; if it is so, the chances that a person identifying the competitor’s brand is 0.50. what is the probability that:
a. 12 of the 15 persons in the test will correctly identify the competitor’s brand if the hypothesis is really true?
b. At most 2 persons will correctly identify the competitor’s brand?
c. Between 10 and 12 inclusive, will identify correctly the competitor’s brand?
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