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A random sample of 1600 M&Ms is selected from the population of plain M&Ms where the...

  1. A random sample of 1600 M&Ms is selected from the population of plain M&Ms where the population proportion of blue M&Ms is 25%.

  1. State the mean (to 2 decimal places) and standard error ( to 4 decimal places) of the sampling distribution using the proper notation for the mean and standard error.
  1. Can the sampling distribution be approximated by a normal distribution? Show work to support your answer.
  1. Using the sampling distribution, calculate the probability (to 4 decimal places) that a sample of 1600 M&Ms selected at random contains at most 22% blue M&Ms. Show ALL work!! Draw graph representing the sampling distribution and shade area representing the probability on the graph.

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