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Question 3 A random sample of 600 M&Ms is selected from the population of plain M&Ms...

Question 3

A random sample of 600 M&Ms is selected from the population of plain M&Ms where the population proportion of yellow M&Ms is 20%.

a) State the mean and standard error of the sampling distribution using the proper notation for the mean and standard error

b) Can the sampling distribution be approximated by a normal distribution? Show work to support your answer

c) Using the sampling distribution, calculate the probability that a sample of 600 M&Ms selected at random from contains at most 23% yellow M&Ms. Draw graph and shade area representing the probability

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Answer #1

Giiven that Ca) Standard ero - O o (b)newally disibuted beause 0.0167

10. 96710.216 0.233 0.15 0.167 0.184 0.2

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