Let X be the number of colors in a country's flag. A sample study of the flags of 25 countries yields the following frequency distribution.

X	Freq
1	1
2	7
3	8
4	6
5	3

Use this sample data to answer the following questions and to construct a 95% confidence interval for the mean number of colors in a country's flag. Use the Student's t-distribution. Round to 2 places after decimal

1. Sample mean =
2. Sample standard deviation =
3. Absolute Value of critical t =
4. 95% Confidence interval: Lower Limit = and Upper Limit =