Question

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 yellow, 62 red, 121 blue, 111 orange, and 86 green candies. Do the data substantiate the percentages reported by Mars, Incorporated? Use the appropriate test and describe the nature of the differences, if there are any. (Use α = 0.10.)

Find the test statistic. (Round your answer to two decimal places.) Χ2 = ??

Answer #1

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 72 brown, 74...

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,...

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...

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...

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...

Suppose the makers of M&M candies give the following average
percentages for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 8. You
suspect that the maker's claim is not true.
Observed Counts by Color...

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...

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 19% 17% 22% 10% 6% 8% 18%
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&M's Color Distribution: Suppose the
makers of M&M candies give the following average percentages
for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 9. You
suspect that the maker's claim is not true.
Observed Counts by Color...

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...

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