A researcher in the department of education wanted to estimate the average number of friends that college freshman make in their first year on campus. They surveyed a sample of 50 freshman and found a sample mean of 6 close friends and a sample standard deviation of 2.

1) What is the standard error of the mean.

2) What Z-score should you use for a 95% confidence level?

3) Construct a 95% confidence interval to estimate the mean number of close friends made 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 interval.