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M&M chocolates come in six different colors: red, orange, yellow, green, blue and brown. A market...

M&M chocolates come in six different colors: red, orange, yellow, green, blue and brown. A market researcher believes that the six color proportions are not evenly distributed for the population of all M&Ms produced. To test this theory, he first selects his significance level to be 10% and then sets up the following goodness of fit test null hypothesis: H0: All 6 M&M color proportions are equal to 1/6 Suppose that the six colors are evenly distributed for the population of all M&Ms produced, and suppose a random sample of 600 M&Ms will be selelcted. What is the approximate model for the possible values of the number of blue M&Ms in the sample? Provide the complete approximate model and include a brief justification for your answer.

Math   Statistics-And-Probability   
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Answer #1

Here population proportion of blue M&M is

p = 1/6 = 0.1667

Sample size is n = 600

Let X is a random variable shows the blue M&Ms in the sample. Here X has binomial distribution with parameters as follow

n = 600, p =1/6

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