Question
In: Statistics and Probability
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: 56
Proportion of GREEN M&M's: 9/56
b. See if the requirements for constructing a confidence interval for proportions are satisfied. Show your work here:
c. 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 do it, just say what you would do)
d. Construct a 95% confidence interval for the proportion of GREEN M&M's using your data (not using any classmate data yet). Feel free to use the calculator’s Interval command. Be sure to include an interpretation of your interval.
My interval:
Interpretation sentence:
Solutions
orchestra answered 1 year agoRelated Solutions
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.
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:...
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...
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...
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...
A manufacturer of colored candies states that 13%of the candies in a bag should be brown,14%yellow,13%red,24%blue,20%...
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, and16% 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 alpha
equalsα=0.05 level of significance.
Colored Candies in a bag
Color
Brown
Yellow
Red
Blue
Orange
Green
Frequency
61
67
57...
Statistics problem A bowl has 10 green M&Ms, 11 blue M&M's, 9 yellow M&Ms, and 13...
Statistics problem
A bowl has 10 green M&Ms, 11 blue M&M's, 9 yellow
M&Ms, and 13 brown M&Ms. If you pick 7 M&Ms, find the
following probability of the following events. It is not necessary
for you to complete the calculations.
a) Getting 5 blue M&Ms
b) Getting 5 green M&Ms
c) Getting 3 blue M&Ms and 4 green M&Ms
d) Getting no blue M&Ms
The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package...
The proportion of brown M&M's in a milk chocolate
packet is approximately 14%. Suppose a package of M&M's
typically contains 66 M&M's.
a) State the random variable.
c) Explain why this is a binomial experiment. Check all that
apply.
1). p = 14% remains constant from one randomly selected M&M
to another
2). There are a fixed number of M&Ms,
3). 66 There are more than two outcomes for each M&M
4). There are only two outcomes for each M&M...
Are all colors equally likely for Milk Chocolate M&M's? Data collected from a bag of Milk...
Are all colors equally likely for Milk Chocolate M&M's? Data
collected from a bag of Milk Chocolate M&M's are provided.
Blue
Brown
Green Orange
Red
Yellow
110
47
52
103
58
50
a. State the null and alternative hypotheses for testing if the
colors are not all equally likely for Milk Chocolate M&M's.
b. If all colors are equally likely, how many candies of each
color (in a bag of 420 candies) would we expect to see?
c. Is a...
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