7 STAT 115 Mini Project-5 Constructing a Confidence Interval Constructing a Confidence Interval with M&M's Are the colors evenly distributed in a bag of M&M's? Is the company reporting accurate color percentages for their product? This activity will guide you through constructing a confidence interval for the proportion of M&M's in a particular color. You have long suspected that the colors are not evenly distributed in a bag of M&M's. Out of curiosity, you decide to construct a confidence interval for the proportion of orange M&M's in a bag of peanut M&M's. Open the dataset 'MMs_Data.csv file in StatCrunch 1. Treat the dataset as your bag of peanut M&M's (a simple random sample). Count the number of orange M&M's and the total number of M&M's in your bag. Then determine the proportion of your M&M's that are orange. Number of orange M&M's: 13 Total number of M&M's: 65 Proportion of orange M&M's: 0.2 2. Verify that the requirements for constructing a confidence interval for the proportion are satisfied. Circle the correct answer. The sampling distribution of p can be assumed as Normal / Approximately Normal. Reason: The confidence interval is very small, so it is approximately normal. 3. Construct a 95% confidence interval for the true proportion of orange M&M's. Be sure to include an interpretation of your interval. (Recall: You can use Stat > Proportion Stats > One Sample > with summary, to obtain the confidence interval.) Copy and paste the results window of the confidence interval you obtained from StatCrunch. Interpret the confidence interval you obtained. 4. According to Mars, Inc., 23% of peanut M&M's are orange. Based on the confidence interval you computed, can you agree with that the company reports accurate color percentages for their product? Comment. The confidence interval is 0.297 percent, and based on this percentage, the company reports accurate color percentages for their candy.
7 STAT 115 Mini Project-5 Constructing a Confidence Interval Constructing a Confidence Interval with M&M's Are the colors evenly distributed in a bag of M&M's? Is the company reporting accurate color percentages for their product? This activity will guide you through constructing a confidence interval for the proportion of M&M's in a particular color. You have long suspected that the colors are not evenly distributed in a bag of M&M's. Out of curiosity, you decide to construct a confidence interval for the proportion of orange M&M's in a bag of peanut M&M's. Open the dataset 'MMs_Data.csv file in StatCrunch 1. Treat the dataset as your bag of peanut M&M's (a simple random sample). Count the number of orange M&M's and the total number of M&M's in your bag. Then determine the proportion of your M&M's that are orange. Number of orange M&M's: 13 Total number of M&M's: 65 Proportion of orange M&M's: 0.2 2. Verify that the requirements for constructing a confidence interval for the proportion are satisfied. Circle the correct answer. The sampling distribution of p can be assumed as Normal / Approximately Normal. Reason: The confidence interval is very small, so it is approximately normal. 3. Construct a 95% confidence interval for the true proportion of orange M&M's. Be sure to include an interpretation of your interval. (Recall: You can use Stat > Proportion Stats > One Sample > with summary, to obtain the confidence interval.) Copy and paste the results window of the confidence interval you obtained from StatCrunch. Interpret the confidence interval you obtained. 4. According to Mars, Inc., 23% of peanut M&M's are orange. Based on the confidence interval you computed, can you agree with that the company reports accurate color percentages for their product? Comment. The confidence interval is 0.297 percent, and based on this percentage, the company reports accurate color percentages for their candy.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Thank you
STAT 115
Mini Project-5
Constructing a Confidence Interval
Constructing a Confidence Interval with M&M's
Are the colors evenly distributed in a bag of M&M's? Is the company reporting accurate color percentages
for their product? This activity will guide you through constructing a confidence interval for the proportion
of M&M's in a particular color.
You have long suspected that the colors are not evenly distributed in a bag of M&M's. Out of curiosity, you
decide to construct a confidence interval for the proportion of orange M&M's in a bag of peanut M&M's.
Open the dataset 'MMs_Data.csv file in StatCrunch.
1. Treat the dataset as your bag of peanut M&M's (a simple random sample).
Count the number of orange M&M's and the total number of M&M's in your bag. Then determine
the proportion of your M&M's that are orange.
Number of orange M&M's: 13
Total number of M&M's: 65
Proportion of orange M&M's: 0.2
2. Verify that the requirements for constructing a confidence interval for the proportion are satisfied.
Circle the correct answer.
The sampling distribution of p can be assumed as Normal / Approximately Normal.
Reason:
The confidence interval is very small, so it is approximately normal.
3. Construct a 95% confidence interval for the true proportion of orange M&M's. Be sure to include
an interpretation of your interval. (Recall: You can use Stat > Proportion Stats > One Sample > with
summary, to obtain the confidence interval.)
Copy and paste the results window of the confidence interval you obtained from StatCrunch.
Interpret the confidence interval you obtained.
4. According to Mars, Inc., 23% of peanut M&M's are orange.
Based on the confidence interval you computed, can you agree with that the company
reports accurate color percentages for their product?
Comment.
The confidence interval is 0.297 percent, and based on this percentage, the company reports
accurate color percentages for their candy.
Transcribed Image Text:Red
0.779
0.918
0.965
0.955
0.829
0.951
0.862
0.789
0.915
0.964
0.897
0.834
0.956
0.845
0.768
0.897
Blue
0.998
0.963
0.709
0.721
0.899
0.845
0.888
0.933
0.956
0.708
Brown
0.739
0.931
0.756
0.919
0.831
0.896
0.912
0.739
0.678
0.912
0.786
0.823
0.921
0.789
0.934
0.735
0.768
0.832
0.913
Green
0.991
0.894
0.887
0.819
0.772
0.815
0.995
Orange
0.994
0.927
0.799
0.901
0.884
0.992
0.883
0.798
0.995
0.785
0.818
0.789
0.812
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