Question

Milk Chocolate M&M’s come in 6 colors; blue, orange,
green, yellow, red, and brown.

The color is red and the number of candies is 25/200 total
M&Ms

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.

Part 2: Discussion Board Post – Confidence Interval (points on
discussion board)

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.

Answer #1

1. Color of choice: Red

Number of M&M's in your color:

Total number of M&M's:

Proportion of M&M's in your color:

2. For 95% confidence interval, the critical value of z is z*=1.96. The 95% confidence interval for the proportion of red M&M’s is:

3. We are 95% confident that true proportion of red M&M’s lies between 0.079 and 0.171.

4. The margin of error is:

5. Sample was random and independent.

The conditions are all satisfied.

6. If the conditions are not met, we can increase sample size.

7. Proportion of red candies is 0.20 and this proportion of red candies does not lie between 0.079 and 0.171.

8. If you had a larger sample, the confidence interval would be narrower.

Plain M&M's come in 6 different colors (Blue, Orange, Green,
Yellow, Red, Brown) and are produced at two different plants.
M&M's that come from a plant in Tennessee are supposed to have
the following distribution of colors: 20.7% Blue; 20.5% Orange;
19.8% Green; 13.5% Yellow; 13.1% Red and 12.4% Brown. Quality
control at the plant is concerned the machine is not working
correctly and that it is producing a different distribution of
colors. They take a random sample of 940...

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 Masterfoods, the company that manufactures
M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12%
are red, 23% are blue, 23% are orange and 15% are green. You
randomly select five peanut M&M’s from an extra-large bag of
the candies. (Round all probabilities below to four decimal
places)
Compute the probability that exactly three of the five M&M’s
are red.
Compute the probability that three or four of the five M&M’s
are red.
Compute the probability that...

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 Masterfoods, Inc., peanut M&M’s are 12% brown,
15% yellow, 12% red, 23% blue, 23% orange, and 15% green. On a
Saturday when you have run out of statistics homework, you decide
to test this claim. You purchase a medium bag of peanut M&M’s
and find 39 browns, 44 yellows, 36 red, 78 blue, 73 orange, and 48
greens. What type of hypothesis test should be used toTest
the hypothesis, do not solve.
Difference betweeen proprtions test (2prop-ztest)
Difference...

According to Masterfoods, the company that manufactures
M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12%
are red, 23% are blue, 23% are orange and 15% are green. You
randomly select five peanut M&M’s from an extra-large bag of
the candies. (Round all probabilities below to four decimal places;
i.e. your answer should look like 0.1234, not 0.1234444 or
12.34%.)
Compute the probability that exactly two of the five M&M’s
are brown.
Compute the probability that two or...

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...

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