A researcher in the department of education wanted to estimate the average number of friends that college freshmen make in their first year on campus. They surveyed a sample of 100 freshmen and found a sample mean of 5 close friends and a sample deviation of 2.

1. What is the standard error of the mean.

2. What Z-score should you use for a 99% confidence level?

3. Construct a 99% confidence interval level to the estimate the mean number of close friends by the population of college freshman during their first year on campus. Round your answers to the nearest hundredth. Report your answer x.xx to x.xx

4. Interpret the confidence level.