Mars, Inc. states that 16% of all milk chocolate M&M’S® produced are green. A group of students took the following samples from a bowl of 500 mixed up M&M’S®.  (see attached) What information do we need in order to answer our question or investigate the claim that 16% of milk chocolate M&M’S® produced by Mars, Inc. are green?  How can we use the samples of M&M’S® to obtain this information? What value is at the center of the dot plot constructed by using one sample per group?  Is it a coincidence that the value is close to/far from the 16% claimed by Mars, Incorporated? Mars, Inc. claimed that 16% of milk chocolate M&M’S® produced are green.  Does the information on the dot plot seem to support this claim?  Why or why not?

MATLAB: An Introduction with Applications
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Mars, Inc. states that 16% of all milk chocolate M&M’S® produced are green. A group of students took the following samples from a bowl of 500 mixed up M&M’S®.  (see attached)

  1. What information do we need in order to answer our question or investigate the claim that 16% of milk chocolate M&M’S® produced by Mars, Inc. are green?  How can we use the samples of M&M’S® to obtain this information?
  2. What value is at the center of the dot plot constructed by using one sample per group?  Is it a coincidence that the value is close to/far from the 16% claimed by Mars, Incorporated?
  3. Mars, Inc. claimed that 16% of milk chocolate M&M’S® produced are green.  Does the information on the dot plot seem to support this claim?  Why or why not?
Dot Plots for Sample Proportions of Green M&M's for Sample Sizes n = 30 and n = 60
0
0.05
0.05
0.1
0.15
0.1
Proportion of Green M&M's
Sample Size n = 30
0.2
0.15
0.2
Proportion of Green M&M's
Sample Size n = 60
0.25
0.25
0.3
0.3
Transcribed Image Text:Dot Plots for Sample Proportions of Green M&M's for Sample Sizes n = 30 and n = 60 0 0.05 0.05 0.1 0.15 0.1 Proportion of Green M&M's Sample Size n = 30 0.2 0.15 0.2 Proportion of Green M&M's Sample Size n = 60 0.25 0.25 0.3 0.3
Sample #
1234567
8
9
10
11
12
13
Sample Proportions for n = 30
14
15
16
17
18
19
20
Proportion of green M&M's
5/30 = 0.17
6/30 = 0.20
3/30 = 0.10
8/30 = 0.27
3/30 = 0.10
3/30 = 0.10
6/30 = 0.20
5/30 = 0.17
7/30 = 0.23
3/30 = 0.10
3/30 = 0.10
4/30 = 0.13
7/30 = 0.23
5/30 = 0.17
5/30 = 0.17
1/30 = 0.03
6/30 = 0.20
8/30 = 0.27
1/30 = 0.03
5/30 = 0.17
Sample #
12345678
9
10
11
12
13
14
15
16
17
Sample Proportions for n = 60
18
19
20
Proportion of green M&M's
12/60 = 0.20
15/60 = 0.25
14/60 = 0.23
7/60 = 0.12
10/60 = 0.17
10/60 = 0.17
11/60 = 0.28
7/60 = 0.12
8/60 = 0.13
10/60 = 0.17
8/60 = 0.13
11/60 = 0.18
6/60 = 0.10
11/60 = 0.18
12/60 = 0.20
10/60 = 0.17
12/60 = 0.20
11/60 = 0.18
13/60 = 0.22
8/60 = 0.13
Transcribed Image Text:Sample # 1234567 8 9 10 11 12 13 Sample Proportions for n = 30 14 15 16 17 18 19 20 Proportion of green M&M's 5/30 = 0.17 6/30 = 0.20 3/30 = 0.10 8/30 = 0.27 3/30 = 0.10 3/30 = 0.10 6/30 = 0.20 5/30 = 0.17 7/30 = 0.23 3/30 = 0.10 3/30 = 0.10 4/30 = 0.13 7/30 = 0.23 5/30 = 0.17 5/30 = 0.17 1/30 = 0.03 6/30 = 0.20 8/30 = 0.27 1/30 = 0.03 5/30 = 0.17 Sample # 12345678 9 10 11 12 13 14 15 16 17 Sample Proportions for n = 60 18 19 20 Proportion of green M&M's 12/60 = 0.20 15/60 = 0.25 14/60 = 0.23 7/60 = 0.12 10/60 = 0.17 10/60 = 0.17 11/60 = 0.28 7/60 = 0.12 8/60 = 0.13 10/60 = 0.17 8/60 = 0.13 11/60 = 0.18 6/60 = 0.10 11/60 = 0.18 12/60 = 0.20 10/60 = 0.17 12/60 = 0.20 11/60 = 0.18 13/60 = 0.22 8/60 = 0.13
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