M&M's/Skittles/Froot Loops

Which color distribution are you comparing to?

Mars, Inc., is famous for its milk chocolate candies. Here’s what the company’s Consumer Affairs Department says about the distribution of color for M&M’S® Milk Chocolate Candies produced at its Hackettstown, New Jersey factory:

- Brown: 12.5%
- Red: 12.5%
- Yellow: 12.5%
- Green: 12.5%
- Orange: 25%
- Blue: 25%

The purpose of this activity is to investigate if the distribution of color in your large bag of M&M’S Milk Chocolate Candies differs from the claimed distribution.

Enter the observed counts for your sample in the table below and press Begin Analysis.

Color Name | Count |
---|---|

Brown | |

Red | |

Yellow | |

Green | |

Orange | |

Blue |

Mars, Inc., is famous for its milk chocolate candies. Here’s what the company’s Consumer Affairs Department says about the distribution of color for M&M’S® Milk Chocolate Candies produced at its Cleveland, Tennessee factory:

- Brown: 12.4%
- Red: 13.1%
- Yellow: 13.5%
- Green: 19.8%
- Orange: 20.5%
- Blue: 20.7%

The purpose of this activity is to investigate if the distribution of color in your large bag of M&M’S Milk Chocolate Candies differs from the claimed distribution.

Enter the observed counts for your sample in the table below and press Begin Analysis.

Color Name | Count |
---|---|

Brown | |

Red | |

Yellow | |

Green | |

Orange | |

Blue |

The regular variety of Skittles candies is claimed to contain equal percentages (20% each) of red, orange, yellow, green, and purple candies by the manufacturer.

The purpose of this activity is to investigate if the distribution of color in your large bag of Skittles candies differs from the claimed distribution.

Enter the observed counts for your sample in the table below and press Begin Analysis.

Color Name | Count |
---|---|

Red | |

Orange | |

Yellow | |

Green | |

Purple |

The manufacturer of regular Froot Loops cereal claims that it contains equal percentages (approximately 16.67% each) of red, orange, yellow, green, blue, and purple loops.

The purpose of this activity is to investigate if the distribution of color in your box of Froot Loops differs from the claimed distribution.

Enter the observed counts for your sample in the table below and press Begin Analysis.

Color Name | Count |
---|---|

Red | |

Orange | |

Yellow | |

Green | |

Blue | |

Purple |

*For a more detailed discussion, see the Stats Medic lesson plans for Day 1 and Day 2 of this activity*.

To see if the observed chi-square statistic is unusual, let’s perform a simulation!

Pressing the “Simulate” button generates the requested number of random samples of the same size as the original sample, taken from a population that matches the claimed distribution. Then, the distribution of color in the simulated sample is displayed, and the value of the chi-square test statistic for each sample is calculated and graphed on the dotplot.

Simulate

The most recent sample's color distribution and χ^{2} value will be displayed.

Total number of simulated samples:

Plot approximate χ^{2} density curve

Count the number and percent of dots
less than
greater than
or equal to

Count the number and percent of dots

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