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