Suppose you study how much people like their jobs and hypothesize that it is related to occupational prestige. You sample 120 people and calculate an average occupational prestige score of 44 with a standard deviation of 2. Use this to calculate/answer the following:

1. standard error of the mean

2. 95% confidence interval (CI)

3. 99% CI

4. 78% CI

5. What is the probability of committing a Type I error at the 95% CI?