Question

*M&M Mars* publishes information regarding the
proportions of colors of candies in each type of *M&Ms*
(plain, peanut, pretzel, caramel, etc.). The plain type
*M&Ms*are advertised to have 60% brown candies.

Let's say you take a random sample of candies. Are you more likely to get a sample with 60% brown candies if you have a sample of 40 candies or a random sample of 400 candies?

a. A random sample of 40 *M&Ms* is more likely to
have 60% brown candies than a random sample of 400
*M&Ms*.

b. A random sample of 400 *M&Ms* is more likely to
have 60% brown candies than a random sample of 40
*M&Ms*.

c. A random sample of 40 *M&Ms* is equally likely to
have 60% brown candies as a random sample of 400
*M&Ms*.

d. The likelihood for either sample size cannot be determined from the given information.

Answer #1

TOPIC:Sample proportion and population proportion.

M&M Mars publishes information regarding the
proportions of colors of candies in each type of M&Ms
(plain, peanut, pretzel, caramel, etc.). The plain type
M&Msare advertised to have 60% brown candies.
Suppose that 20 students each take a random sample of 50
candies, calculate the sample proportion of brown candies, and
create a single graph from the class data.
Answer each of the questions by choosing the best responses from
the options below. **You will choose one response for each...

Does the maker of M&Ms® (Mars, Inc.) use the same proportion
of red candies in its plain and peanut varieties? A random sample
of 55 plain M&Ms contained 14 red candies, and another random
sample of 40 peanut M&Ms contained 7 red candies. (Use p1 for
the proportion of red candies in plain M&Ms and p2 for the
proportion of red candies in peanut M&Ms.)
(a) Construct a 95% confidence interval for the difference in
the proportions of red candies...

Does the maker of M&Ms® (Mars, Inc.) use the same
proportion of red candies in its plain and peanut varieties? A
random sample of 51 plain M&Ms contained 11 red candies, and
another random sample of 30 peanut M&Ms contained 6 red
candies. (Use p1 for the proportion of red
candies in plain M&Ms and p2 for the
proportion of red candies in peanut M&Ms.)
(a) Construct a 95% confidence interval for the difference in
the proportions of red candies...

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...

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...

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...

Does Mars, Incorporated use the same proportion of red candies
in its plain and peanut varieties? A random sample of 54 plain
M&M'S contained 12 red candies, and another random sample of 33
peanut M&M'S contained 5 red candies. (Use
p1 for the proportion of red candies in plain
M&M'S and p2 for the proportion of red
candies in peanut M&M'S.)
(a) Construct a 95% confidence interval for the difference in
the proportions of red candies for the plain and...

Does Mars, Incorporated use the same proportion of red candies
in its plain and peanut varieties? A random sample of 59 plain
M&M'S contained 10 red candies, and another random sample of 33
peanut M&M'S contained 7 red candies. (Use
p1 for the proportion of red candies in plain
M&M'S and p2 for the proportion of red
candies in peanut M&M'S.)
(a) Construct a 95% confidence interval for the difference in
the proportions of red candies for the plain and...

We are interested in studying the color distribution of plain
and peanut M&Ms. The follow-
ing table summarizes the colors of plain and peanut M&Ms from
one bag each.
Orange Other totals
Plain 15 45 60
Peanut 8 14 22
totals 23 59 82
11. Describe the two populations.
12. Describe the two samples.
13. Describe the two parameters.
14. What are the relevant statistics?
15. Use the information from the study to test the claim that
peanut M&Ms have...

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