MTH 140 Confidence Intervals New Work
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Confidence Intervals
Important Note: This assignment is based on your work from the Candy Count Application Assignment.
Instructions
Please read the following scenario and answer the questions below. Use the information below and your answers from your Candy Count Application Assignment to complete this assignment. You may create your assignment using either Microsoft Word or Excel.
Scenario
Another sample of candies was opened and recorded. The sample size was 20. Below is the summary of the sample.
Color |
Red |
Blue |
Green |
Yellow |
Orange |
Total |
Mean |
3.65 |
2.25 |
2.75 |
3.45 |
2.4 |
14.5 |
Standard Deviation |
2.23 |
1.97 |
1.77 |
2.01 |
2.14 |
3.56 |
Using that information, construct the following:
· A 90% confidence interval for the mean number of red candies.
· A 95% confidence interval for the mean number of blue candies.
· A 99% confidence interval for the variance of orange candies
· A 90% confidence interval for the standard deviation of the total number of candies.
Hint: The Excel functions confidence.norm() and confidence.T() can be used to find the margin of error E quite easily. Also, you might want to use the following calculators in Statcrunch:
· Stat- > Z Statistics -> One Sample
· Stat -> T Statistics -> One Sample
· Stat -> Proportion Statistics -> One Sample
Stat -> Variance Statistics -> One Sample
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