M&M’s candies typically come in six assorted colors, as listed below. How do you think the colors are distributed? Uniformly? More blue, less green? All yellow? Fill in the table below with your proportions you predict will describe the distribution of the various colors of M&M’s. Color: Red Orange Yellow Green Blue Brown Proportion: 6 12 10 8 12 12 Open your bag of M&M’s. Don’t count each color yet! What is your sample size? ? = 60 Based on this sample size and your predicted distribution, determine the count of each color you would EXPECT to have in your sample, and fill in the appropriate column in the table below. Now, count each color in your bag and fill in the appropriate column in the table below.
M&M’s candies typically come in six assorted colors, as listed below. How do you think the colors are distributed? Uniformly? More blue, less green? All yellow?
Fill in the table below with your proportions you predict will describe the distribution of the various colors of M&M’s.
|
Color: |
Red |
Orange |
Yellow |
Green |
Blue |
Brown |
|
Proportion: |
6 |
12 |
10 |
8 |
12 |
12 |
Open your bag of M&M’s. Don’t count each color yet! What is your sample size?
? = 60
Based on this sample size and your predicted distribution, determine the count of each color you would EXPECT to have in your sample, and fill in the appropriate column in the table below.
Now, count each color in your bag and fill in the appropriate column in the table below.
|
Color |
Expected Frequency |
Observed Frequency |
|
Red |
|
10 |
|
Orange |
|
10 |
|
Yellow |
|
15 |
|
Green |
|
9 |
|
Blue |
|
8 |
|
Brown |
|
8 |
Now let’s see how a sample of M&M’s will fit your predicted distribution. Using the table above perform a Goodness-of-Fit Test with a significance level 3%.
Hypotheses
H0:
HA:
Threshold
Test Statistic
P-Value or Critical Value
Interpretation
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