Question

Have you ever wondered why the package of M&Ms you just bought never seems to have enough of your favorite color? According to M&Ms, the distribution of colors for their milk chocolate candies in 2008 was: 24% blue, 13% brown, 16% green, 20% orange, 13% red, and 14% yellow. The statistician described in the article obtained two scoops of M&Ms from the breakroom at the office every week, until he had 712 candies. The observed number of candies for each of the colors in this sample collected in 2016-2017 are: 133 blue, 96 brown, 139 green, 133 orange, 108 red, and 103 yellow. A. Which inference procedure is appropriate to test if the M&Ms color distribution changed from 2008 to 2017? Explain. B. What are the appropriate hypotheses for the test described in part A.? C. Conduct the appropriate test. Display intermediate components of the process. D. Is the conclusion made from the test in part C. reliable? Explain.

Answer #1

According to M&Ms Web site, each package of the milk
chocolate candies typically contain 14% brown, 13% red, 14% yellow,
16% green, 24% blue, and 20% orange M&Ms. You go to the store
and buy a standard-sized package. When you open it, you find that
it contains 51 M&Ms, distributed as follows: Color Brown Red
Yellow Green Blue Orange Frequency 8 4 10 4 11 11 Over the long
run, what is the probability that the first M&M you select...

According to Mars Inc., the distribution of colors of the
M&M candies is Brown- 13 Yellow- 14 Red- 13 Blue- 24 Orange- 20
Green-. 16.Several bags were randomly chosen and the percentages of
each color were found to be as follows: Brown – 15.3%, Yellow
–18.1%, Red – 11.7%, Blue – 19.8%, Orange – 22.6%, and Green –
12.5%. According to this sample, does it appear that the
distribution of colors does not fit what’s expected, according to
the manufacturer’s...

Use the distribution below to test that Plain M&Ms follow
the stated distribution. Discuss your choice of ?. Would a
different ? have changed your conclusion?
M&M states the following distribution for Plain M&Ms:
Red = 13%, Orange = 20%, Yellow = 13%, Green = 20%, Blue = 20%,
Brown = 14%
Total amount of Plain M&Ms: 678
Red=69 Orange=216 Yellow=75 Green=61 Blue=187 Brown=70

M&M plain candies come in various colors. According to the
M&M/Mars Department of Consumer Affairs, the distribution of
colors for plain M&M candies is as follows.
Color
Purple
Yellow
Red
Orange
Green
Blue
Brown
Percentage
23%
17%
23%
7%
9%
8%
13%
Suppose you have a large bag of plain M&M candies and you
choose one candy at random.
(a) Find P(green candy or blue candy).
Are these outcomes mutually exclusive? Why?
No. Choosing a green and blue M&M is...

M&Ms are multicolored candies in a bag with six colors:
Brown, Blue, Red, Yellow, Green and Orange. Mars now claims that
all six colors are equally likely. In an attempt to reject the
claim, an 8-oz bag of M&Ms was purchased and the colors
counted. The results of the count are below. Does this sample
contradict Mars’ claim when α = 0.10? Brown Blue Red Yellow Green
Orange 37 41 32 25 36 39 If the claim is true what...

A snack-size bag of M&Ms candies is opened. Inside, there
are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10
yellow. Three candies are pulled from the bag in succession,
without replacement. What is the probability that the first two
candies drawn are blue and the third is green?

This question has several parts that must be completed
sequentially. If you skip a part of the question, you will not
receive any points for the skipped part, and you will not be able
to come back to the skipped part.
Tutorial Exercise
M&M Mars Company has varied the mix of colors for M&M'S
Plain Chocolate Candies over the years. These changes in color
blends are the result of consumer preference tests. Most recently,
the color distribution is reported to...

Upon request, the Mars Company (the maker of M&M's) will
provide the color distribution for their candies. As of August
2009, they noted that
"Our color blends were selected by conducting consumer
preference tests, which indicate the assortment of
colors
that pleased the greatest number of people and created the most
attractive overall effect.
On average, our mix of colors for M&M'S CHOCOLATE CANDIES
is:
M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green,
14% bright yellow, 13% red,...

M&M plain candies come in various colors. According to the
M&M/Mars Department of Consumer Affairs, the distribution of
colors for plain M&M candies is as follows.
Color
Purple
Yellow
Red
Orange
Green
Blue
Brown
Percentage
17%
18%
17%
9%
8%
10%
21%
Suppose you have a large bag of plain M&M candies and you
choose one candy at random.(a) Find P(green candy
or blue candy).
Are these outcomes mutually exclusive? Why?
Yes. Choosing a green and blue M&M is not...

Several years ago, the Mars, Incorporated website reported the
following percentages of the various colors of its M&M'S
candies for the "milk chocolate" variety.† A graphical display
lists 6 colors. Beside each color is a picture of an M&M with
the percentage listed below the picture. The colors and percentages
are as follows. Brown: 13% Yellow: 14% Red: 13% Blue: 24% Orange:
20% Green: 16% A 14-ounce bag of milk chocolate M&M'S is
randomly selected and contains 71 brown, 75...

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