The following data set includes information from 30 bags of M&M’s. For each bag, the count for each color is provided as well as the bag’s weight prior to it being open. Bag # Red Green Blue Orange Yellow Brown Weight 1 15 9 3 3 9 19 49.79 2 9 17 19 3 3 8 48.98 3 14 8 6 8 19 4 50.4 4 15 7 3 8 16 8 49.16 5 10 3 7 9 22 4 47.61 6 12 7 6 5 17 11 49.8 7 6 7 3 6 26 10 50.23 8 14 11 4 1 14 17 51.68 9 4 2 10 6 18 18 48.45 10 9 9 3 9 8 15 46.22 11 9 11 13 0 7 18 50.43 12 8 8 6 5 11 20 49.8 13 12 9 13 2 6 13 46.94 14 9 7 7 2 18 7 47.98 15 6 6 6 4 21 13 48.49 16 4 6 9 4 12 20 48.33 17 3 5 11 12 11 16 48.72 18 14 5 6 6 21 6 49.69 19 5 5 16 12 7 12 48.95 20 8 9 13 4 15 11 51.71 21 8 7 7 13 7 18 51.53 22 9 8 3 8 23 8 50.97 23 20 2 7 5 13 9 50.01 24 12 6 1 12 6 19 48.28 25 8 9 4 6 21 7 48.74 26 4 6 7 6 14 19 46.72 27 10 12 11 6 11 7 47.67 28 5 4 2 9 18 16 47.7 29 15 11 4 13 7 8 49.4 30 11 6 7 12 12 13 52.06 Using the data set above: Descriptive Statistics Present your data as a frequency table by color and frequencies. Using Excel, construct a bar graph displaying the colors and frequencies. (Label the axes on the graph and provide a title) Calculate the Mean, Median, Mode, Range, and Standard Deviation for the weights. Describe what each of these numbers indicates.
The following data set includes information from 30 bags of M&M’s. For each bag, the count for each color is provided as well as the bag’s weight prior to it being open.
|
Bag # |
Red |
Green |
Blue |
Orange |
Yellow |
Brown |
Weight |
|
1 |
15 |
9 |
3 |
3 |
9 |
19 |
49.79 |
|
2 |
9 |
17 |
19 |
3 |
3 |
8 |
48.98 |
|
3 |
14 |
8 |
6 |
8 |
19 |
4 |
50.4 |
|
4 |
15 |
7 |
3 |
8 |
16 |
8 |
49.16 |
|
5 |
10 |
3 |
7 |
9 |
22 |
4 |
47.61 |
|
6 |
12 |
7 |
6 |
5 |
17 |
11 |
49.8 |
|
7 |
6 |
7 |
3 |
6 |
26 |
10 |
50.23 |
|
8 |
14 |
11 |
4 |
1 |
14 |
17 |
51.68 |
|
9 |
4 |
2 |
10 |
6 |
18 |
18 |
48.45 |
|
10 |
9 |
9 |
3 |
9 |
8 |
15 |
46.22 |
|
11 |
9 |
11 |
13 |
0 |
7 |
18 |
50.43 |
|
12 |
8 |
8 |
6 |
5 |
11 |
20 |
49.8 |
|
13 |
12 |
9 |
13 |
2 |
6 |
13 |
46.94 |
|
14 |
9 |
7 |
7 |
2 |
18 |
7 |
47.98 |
|
15 |
6 |
6 |
6 |
4 |
21 |
13 |
48.49 |
|
16 |
4 |
6 |
9 |
4 |
12 |
20 |
48.33 |
|
17 |
3 |
5 |
11 |
12 |
11 |
16 |
48.72 |
|
18 |
14 |
5 |
6 |
6 |
21 |
6 |
49.69 |
|
19 |
5 |
5 |
16 |
12 |
7 |
12 |
48.95 |
|
20 |
8 |
9 |
13 |
4 |
15 |
11 |
51.71 |
|
21 |
8 |
7 |
7 |
13 |
7 |
18 |
51.53 |
|
22 |
9 |
8 |
3 |
8 |
23 |
8 |
50.97 |
|
23 |
20 |
2 |
7 |
5 |
13 |
9 |
50.01 |
|
24 |
12 |
6 |
1 |
12 |
6 |
19 |
48.28 |
|
25 |
8 |
9 |
4 |
6 |
21 |
7 |
48.74 |
|
26 |
4 |
6 |
7 |
6 |
14 |
19 |
46.72 |
|
27 |
10 |
12 |
11 |
6 |
11 |
7 |
47.67 |
|
28 |
5 |
4 |
2 |
9 |
18 |
16 |
47.7 |
|
29 |
15 |
11 |
4 |
13 |
7 |
8 |
49.4 |
|
30 |
11 |
6 |
7 |
12 |
12 |
13 |
52.06 |
Using the data set above:
- Present your data as a frequency table by color and frequencies.
- Using Excel, construct a bar graph displaying the colors and frequencies.
(Label the axes on the graph and provide a title)
- Calculate the Mean,
Median ,Mode ,Range , and Standard Deviation for the weights. Describe what each of these numbers indicates.
- Are the M&M’s weights accurate?
According to the package, each small bag of peanut M&M’s should weigh 49.3 grams. To determine if the bag weights are on target, use the weight of the bags of M&M’s and conduct a hypothesis test to see if the company’s claim is true. Using α = .05 and the five-step process, be sure to include your hypotheses and work.
- Calculate the corresponding confidence interval for the mean of the weights. Does your results and decision in this problem match the decision you made in Problem 5?
- Is the average number of orange M&M’s in a bag different from the average number of brown M&M’s? Conduct a hypothesis test at the α = .05 level to answer that question.
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- Are the M&M’s weights accurate?
According to the package, each small bag of peanut M&M’s should weigh 49.3 grams. To determine if the bag weights are on target, use the weight of the bags of M&M’s and conduct a hypothesis test to see if the company’s claim is true. Using α = .05 and the five-step process, be sure to include your hypotheses and work.
- Calculate the corresponding confidence interval for the mean of the weights. Does your results and decision in this problem match the decision you made in Problem 5?
- Is the average number of orange M&M’s in a bag different from the average number of brown M&M’s? Conduct a hypothesis test at the α = .05 level to answer that question.
-
The following data set includes information from 30 bags of M&M’s. For each bag, the count for each color is provided as well as the bag’s weight prior to it being open.
Bag #
Red
Green
Blue
Orange
Yellow
Brown
Weight
1
15
9
3
3
9
19
49.79
2
9
17
19
3
3
8
48.98
3
14
8
6
8
19
4
50.4
4
15
7
3
8
16
8
49.16
5
10
3
7
9
22
4
47.61
6
12
7
6
5
17
11
49.8
7
6
7
3
6
26
10
50.23
8
14
11
4
1
14
17
51.68
9
4
2
10
6
18
18
48.45
10
9
9
3
9
8
15
46.22
11
9
11
13
0
7
18
50.43
12
8
8
6
5
11
20
49.8
13
12
9
13
2
6
13
46.94
14
9
7
7
2
18
7
47.98
15
6
6
6
4
21
13
48.49
16
4
6
9
4
12
20
48.33
17
3
5
11
12
11
16
48.72
18
14
5
6
6
21
6
49.69
19
5
5
16
12
7
12
48.95
20
8
9
13
4
15
11
51.71
21
8
7
7
13
7
18
51.53
22
9
8
3
8
23
8
50.97
23
20
2
7
5
13
9
50.01
24
12
6
1
12
6
19
48.28
25
8
9
4
6
21
7
48.74
26
4
6
7
6
14
19
46.72
27
10
12
11
6
11
7
47.67
28
5
4
2
9
18
16
47.7
29
15
11
4
13
7
8
49.4
30
11
6
7
12
12
13
52.06
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