Question
In: Statistics and Probability
1. Suppose that M&M claims that their Plain M&Ms have an equal proportion of red and...
1. Suppose that M&M claims that their Plain M&Ms have an
equal proportion of red and brown.
a. Test the claim that the proportion of red M&Ms is greater
than the proportion of brown
M&Ms.
b. Discuss your choice of ?.
i. Why did you choose the ? you did?
ii. If you had chosen a different ?, would it have affected your
conclusion?
Solutions
Expert Solution
a. Test the claim that the proportion of red M&Ms is greater
than the proportion of brown
M&Ms.
The hypothesis being tested is:
H0: p1 = p2
Ha: p1 > p2
| p1 | p2 | pc | |
| 0.0942 | 0.0818 | 0.088 | p (as decimal) |
| 76/807 | 66/807 | 142/1614 | p (as fraction) |
| 76. | 66. | 142. | X |
| 807 | 807 | 1614 | n |
| 0.0124 | difference | ||
| 0. | hypothesized difference | ||
| 0.0141 | std. error | ||
| 0.88 | z | ||
| .1898 | p-value (one-tailed, upper) |
The p-value is 0.1898.
Since the p-value (0.1898) is greater than the significance level (0.05), we fail to reject the null hypothesis.
Therefore, we cannot conclude
that the proportion of red M&Ms is greater than the
proportion of brown
M&Ms.
b. Discuss your choice of ?.
0.05
i. Why did you choose the ? you did?
This is the most common significance level for studies.
ii. If you had chosen a different ?, would it have affected your
conclusion?
No
orchestra answered 2 years agoRelated Solutions
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should be 18 grams and Plain M&Ms should be 13.5 grams.
a. Test the claim that M&M is shorting its customers in bags
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ii. If you had chosen a different ?, would it have affected your
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Total Plain...
Suppose you have a bag of M&Ms with 19 M&Ms. Suppose 4 of them are red,...
Suppose you have a bag of M&Ms with 19 M&Ms. Suppose 4
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(a) If one M&M is chosen at random from the bag, find the
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**Assume that both Plain and Peanut M&M candies are normally distributed. 1. Suppose that M&M claims...
**Assume that both Plain and Peanut M&M candies are normally
distributed.
1. Suppose that M&M claims that their Plain M&Ms have an
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a. Test the claim that the proportion of red M&Ms is greater
than the proportion of brown M&Ms.
b. Test the claim that the proportion of red M&Ms is less
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Total number of M&M's: 665
Total number of red M&M's: 76
Total number of brown M&M's:...
Q: The mars company claims that 13 percent of M&Ms plain candies distributed into bags are...
Q: The mars company claims that 13 percent of M&Ms plain
candies distributed into bags are brown. Investigate this claim
with an appropriate hypothesis test. Use a significance level of a=
0.05
Color
Count
Brown
33
Non-Brown
242
Total
275
1. The p-value for this test statistic is: _______________.
2. Null Hypothesis:
3. Alternative Hypothesis:
4. Conclusion: We REJECT/DO NOT REJECT the null hypothesis.
(Circle the correct answer) State what this conclusion means in
terms of the problem.
5. Would...
According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be...
According to the manufacturer of M&Ms, 13% of the plain
M&Ms in a bag should be brown, 14% should be yellow, 13% should
be red, 24% should be blue, 20% should be orange, and 16% should be
green. A student randomly selected a bag of plain M&Ms. he
counted the number of M&Ms that were each color and obtained
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the distribution stated by M&M at the level of
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The hypothesis being tested is: H0: Plain M&Ms follow the stated distribution Ha: Plain M&Ms does...
The hypothesis being tested is:
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observed
expected
O - E
(O - E)² / E
Red
63
89.440
-26.440
7.816
Orange
155
137.600
17.400
2.200
Yellow
90
89.440
0.560
0.004
Green
101
137.600
-36.600
9.735
Blue
181
137.600
43.400
13.689
Brown
98
96.320
1.680
0.029
688
688.000
0.000
33.473
33.47
chi-square
5
df
3.03E-06
p-value
The p-value is 0.0000.
Since the p-value (0.0000) is...
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Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow...
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Yellow
20%
Orange
10%
Green
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Blue
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Red
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Yellow
20
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16
Green
15
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e) [-0.034,...
Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow...
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