You want to estimate the average SAT score for all students who took the Ethan-Davies SAT Preparation course during the past 2 years. You select a simple random sample of 100 such students from a comprehensive list of all Davies students who took the course over the last two years and find that the average SAT score for the sample was 1940. Assume you know the population standard deviation here is 83 points.
a. Produce the 95% confidence interval estimate of the mean SAT score for the population of Ethan-Davies students.
b. Carefully interpret the interval.
c. Identify the standard error and the margin of error terms in your interval.