The generаl educаtiоn depаrtment at a lоcal university wоuld like to determine the average math placement score for its students with 90% certainty using a confidence interval. The first twenty-five students to take the test had an average score of 74. It is known that math placement scores at the university follow a normal distribution with a population standard deviation of 17. a. Explain why this is not a simple random sample. b. Let us assume the sample is randomized enough to perform a z-confidence interval. What is the standard error (the standard deviation of the sampling distribution)? c. Calculate the 90% confidence interval. Show all work.