Question

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a=0.05 level of significance.

Color | Brown | Yellow | Red | Blue | Orange | Green |

Frequency | 59 | 66 | 54 | 61 | 90 | 65 |

Claimed Proportion | 0.13 | 0.14 | 0.13 | 0.24 | 0.2 | 0.16 |

What is the test statistic? (round to three decimal places as needed)

Answer #1

Suppose a candy company representative claims that colored
candies are mixed such that each large production batch has
precisely the following proportions: 10% brown, 10% yellow, 10%
red, 30% organic, 20% green, and 20% blue. The colors present in a
sample of 442 candies was recorded. Is the representatives claim
about the expected proportions of each color refuted by the
data?
color
brown
yellow
red
orange
green
blue
number of candies
62
88
106
62
62
62
FIND THE VALUE...

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?

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...

A package of 100 candies are distributed with the following
color percentages: 12% red, 22% orange, 14% yellow, 12%
brown, 24% blue, and 16% green. Use the given sample data to test
the claim that the color distribution is as claimed. Use a 0.025
significance level.
Candy Counts
Color
Number in Package
Red
1313
Orange
2727
Yellow
66
Brown
1010
Blue
2727
Green
17
The test statistic is
(Round to two decimal places as needed.)
The critical value is
(Round...

The manufacturer of a certain candy states that 15% of the
candies are brown, 15% yellow, 25% red, 20% blue, 10% orange, 15%
green. A student randomly selected a giant bag of candy and counted
the number of each color. The results are in the table below. Does
the candy follow the stated distribution?
(a) Complete the table. Report all answers accurate to 2 decimal
places.
Color
Brown
Yellow
Red
Blue
Orange
Green
Frequency
21
23
24
26
7
16...

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...

Suppose a candy company representative claims that colored
candies are mixed such that each large production batch has
precisely the following proportions: 20%20% brown, 20%20% yellow,
10%10% red, 10%10% orange, 10%10% green, and 30%30% blue. The
colors present in a sample of 459459 candies was recorded. Is the
representative's claim about the expected proportions of each color
refuted by the data?
Color
brown
yellow
red
orange
green
blue
Number of Candies
44
67
67
78
44
159
Step 1 of...

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...

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...

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