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Math 203 Quiz 3, October 12, 1999
  1. Peanut M&Ms come in 6 colors, red, orange, yellow, brown, blue and green. The table below gives the overall proportion of peanut M&Ms for five of the six colors. You select a random sample of size 250 from a huge collection of peanut M&Ms and find that blue M&Ms make up a proportion of size 0.185 of your sample.
Color red orange yellow brown blue green
Proportion 0.2 0.1 0.2 0.2 0.2  
    1. What proportion of peanut M&Ms are green? How do you know?

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    2. Are the proportions listed in the table statistics or parameters?

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    3. Is the value 0.185 in the problem description a statistic or a parameter?

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    4. What is the probability that a single randomly selected peanut M&M is either red or orange?

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    5. What is the probability that a single randomly selected peanut M&M is not blue?

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    6. If we use an SRS of size 250 to estimate the proportion of peanut M&Ms which are blue (call this estimated proportion p-hat), verify that the second rule of thumb for normal distributions is satisifed.

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    7. What is the mean value of the estimated proportions p-hat?

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    8. What is the standard deviation of the values of p-hat?

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    9. How likely is it that we obtain a sample at least as rare as one with a p-hat value of 0.185?