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