Mars, Inc. says that the mix of colors in its M&M'S® Milk Chocolate Candies from its Hackettstown, NJ, factory is 25% blue, 25% orange, 12.5% green, 12.5% yellow, 12.5% red, and 12.5% brown. Assume that the company's claim is true and that you will randomly select 50 candies to estimate the proportion that are orange. 1. Identify the population, the parameter, the sample, and the statistic in this setting. 2. Graph the population distribution. 3. Imagine taking a random sample of 50 M&M'S® Milk Chocolate Candies. Make a graph showing a possible distribution of the sample data. Give the value of the statistic for this sample.

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CHECK YOUR UNDERSTANDING
1. Identify the population, the parameter, the sample, and the statistic in this setting.
2. Graph the population distribution.
Mars, Inc. says that the mix of colors in its M&M'S® Milk Chocolate
Candies from its Hackettstown, NJ, factory is 25% blue, 25% orange, 12.5%
green, 12.5% yellow, 12.5% red, and 12.5% brown. Assume that the
company's claim is true and that you will randomly select 50 candies to
estimate the proportion that are orange.
3. Imagine taking a random sample of 50 M&M'S® Milk Chocolate Candies. Make
a graph showing a possible distribution of the sample data. Give the value of the
statistic for this sample.
4. Which of these three graphs could be the approximate sampling distribution of the
statistic? Explain your choice.
Frequency
20
18
Blue
Green
Brown
Orange
Red
Yellow
0.05
0.15
0.25
0.35
p = sample proportion of orange candies
0.45
0.05
0.15 0.20
p = sample proportion of orange candies
0.10
Color
Starnes & Tabor, The Practice of Statistics, 6e, © 2018 Bedford, Freeman & orth High School Publishers
0.25
Transcribed Image Text:CHECK YOUR UNDERSTANDING 1. Identify the population, the parameter, the sample, and the statistic in this setting. 2. Graph the population distribution. Mars, Inc. says that the mix of colors in its M&M'S® Milk Chocolate Candies from its Hackettstown, NJ, factory is 25% blue, 25% orange, 12.5% green, 12.5% yellow, 12.5% red, and 12.5% brown. Assume that the company's claim is true and that you will randomly select 50 candies to estimate the proportion that are orange. 3. Imagine taking a random sample of 50 M&M'S® Milk Chocolate Candies. Make a graph showing a possible distribution of the sample data. Give the value of the statistic for this sample. 4. Which of these three graphs could be the approximate sampling distribution of the statistic? Explain your choice. Frequency 20 18 Blue Green Brown Orange Red Yellow 0.05 0.15 0.25 0.35 p = sample proportion of orange candies 0.45 0.05 0.15 0.20 p = sample proportion of orange candies 0.10 Color Starnes & Tabor, The Practice of Statistics, 6e, © 2018 Bedford, Freeman & orth High School Publishers 0.25
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