Question
In: Statistics and Probability
Milk Chocolate M&M’s come in 6 colors; blue, orange, green, yellow, red, and brown. 1. Choose...
Milk Chocolate M&M’s come in 6 colors; blue, orange,
green, yellow, red, and brown.
1. Choose your favorite color of M&M’s you will be working
with for this project. State the color and give the counts
below.
Color of choice:
Number of M&M's in your color:
Total number of M&M's:
Proportion of M&M's in your color:
2. Construct a 95% confidence interval for the proportion of
M&M’s one can expect to find in the color of your choice.
3. Give an interpretation of your interval.
4. Find the margin of error for your interval.
5. Check the requirements for constructing a confidence
interval for the proportion are satisfied. Show your work. (See the
note in the gray/blue box on page 426)
6. The conditions might not be satisfied, depending on how
many candies were in your bag. If the conditions are not met, what
could you do? (Note—you don’t have to redo the experiment to meet
the conditions, just say what you would do.)
7. Does your interval contain the stated proportion by
M&Ms for the color you chose?
8. If you had a larger sample, how would you expect the
confidence interval to be affected? Provide justification.
Find a confidence interval from a source or article you’re
interested in. Post the confidence interval and an interpretation
of the article. You can add substance to your post by including
some things you find interesting about the article/source you
used.
Please post your source.
25
Red M&Ms out of 200 total M&Ms
Solutions
orchestra answered 2 years agoRelated Solutions
The distribution of M&M colors is 24% blue, 20% orange, 16% green, 14% yellow, 13% red,...
The distribution of M&M colors is 24% blue, 20% orange, 16%
green, 14% yellow, 13% red, and 13% brown.
You have a small bag of M&M's and count the colors. Your bag
has 9 blue, 9 orange, 4 green, 12 yellow, 3 red, and 6 brown
M&M's.
Before you begin, how many M&M's do you need in your sample
(minimum) to be able to do this test? Remember, your assumption for
chi-square is that every expected frequency has at least...
M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%...
M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16%
green, 14% bright yellow, 13% red, 13% brown.
Each large production batch is blended to those ratios and
mixed thoroughly. However, since the individual packages are filled
by weight on high-speed equipment, and not by count, it is possible
to have an unusual color distribution.
Part 1: Confidence Interval for Small n
Milk Chocolate M&M’s come in 6 colors; blue, orange, green,
yellow, red, and brown.
Choose the color of M&M’s...
M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%...
M&M'S MILK CHOCOLATE: 24% cyan
blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%
brown.
Each large production batch is
blended to those ratios and mixed thoroughly. However, since the
individual packages are filled by weight on high-speed equipment,
and not by count, it is possible to have an unusual color
distribution.
1. Treat your bag of M&M's as a simple random sample
and:
a. Count the following --
Number of GREEN M&M's: 9
Total number of M&M's:...
M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%...
M&M'S MILK CHOCOLATE: 24% cyan
blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%
brown.
Confidence Interval for Small n
Choose the color of M&M’s you will
be working with for this project
Color:
Using the collected data below from a single fun-sized bag,
provide the frequency and proportion of M&M’s in your color of
choice.
Red
Orange
Yellow
Green
Blue
Brown
2
1
2
3
5
1
Number of M&M's in your
color:
Total number of
M&M's:...
Chocolates N&N come in 3 colors: blue, red and yellow. A chocolate bag should, on average,...
Chocolates N&N come in 3 colors: blue, red and yellow. A
chocolate bag should, on average, be filled with 40% of blue, 40%
of red and 20% of yellow. The supervisor test the machine by taking
a sample of bags. He counts 85 blue, 106 red, and 43 yellow in this
sample. α = 0.05
a) What are the null and alternative hypothesis? Define any
necessary variables.
b) What is the test statistic?
c) What is the critical value or...
Bag Blue Orange Green Yellow Red Brown Total Number of Candies 1 9 13 14 10...
Bag
Blue
Orange
Green
Yellow
Red
Brown
Total Number of Candies
1
9
13
14
10
7
7
60
2
13
10
6
9
9
8
55
3
13
12
4
10
9
6
54
4
16
13
8
6
6
8
57
5
10
10
12
5
15
4
56
6
9
18
3
6
12
12
60
7
11
13
6
15
8
6
59
8
12
18
5
9
6
5
55
9
12
10
8
15...
Bag Blue Orange Green Yellow Red Brown Total Number of Candies 1 9 13 14 10...
Bag
Blue
Orange
Green
Yellow
Red
Brown
Total Number of Candies
1
9
13
14
10
7
7
60
2
13
10
6
9
9
8
55
3
13
12
4
10
9
6
54
4
16
13
8
6
6
8
57
5
10
10
12
5
15
4
56
6
9
18
3
6
12
12
60
7
11
13
6
15
8
6
59
8
12
18
5
9
6
5
55
9
12
10
8
15...
Twelve chairs are to be painted. The available colors are Red, Blue, Green, and Yellow, and...
Twelve chairs are to be painted. The available colors are Red,
Blue, Green, and Yellow, and every chair must be painted with one
color. Assuming that all coloring schemes are equally likely, what
is the probability that one color is not used and there are at
least two chairs of every other color ? (The answer is 0.25) Can
anyone explain to me why ?
(5 pts) Suppose that the five standard Skittles colors (red, orange, yellow, green, purple) occur with...
(5 pts) Suppose that the five standard Skittles colors (red,
orange, yellow, green, purple) occur with equal relative frequency.
Use the random digits below to simulate the colors of 4 randomly
selected Skittles. Continue to do this until you have generated 12
such samples of 4 Skittles. Use the results of these simulations to
approximate that probability that a sample of 4 Skittles will
contain at least two Skittles of the same color.
28491 06339 65216 31007 92314 50271
82943...
The candy Reese's Pieces come in three different colors: orange, yellow, and brown. Less than forty-five...
The candy Reese's Pieces come in three different
colors: orange, yellow, and brown. Less than forty-five percent of
the pieces are supposed to be orange. A random sample of
Reese's Pieces packages were opened and 166 out of 400
pieces were orange.
Test the hypothesis that less
than forty-five percent of Reese's Pieces are
orange. Use α = .05 (define the population parameter in
H0).(Which hypothesis is your claim?)
H0:
Ha:
Test Statistics (z or t score, indicate which one)...
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