In: Statistics and Probability
Please find all of the above for the scenarios below
Part I. A university is looking into its mathematics placement procedure. The university assumes its population mean math SAT score of all incoming freshmen is 600. Suppose that a simple random sample of 33 freshmen at that university reveals a mean math SAT score of 614 with a standard deviation of 47. Test the claim, at the 0.05 alpha level, that the mean math SAT score of freshmen at this university is more than 600
Part II. Question 2: This same university is looking into its English placement as well. The university assumes its population mean Verbal SAT score for all incoming freshmen is 570. Suppose that a simple random sample of 51 freshmen at that university reveals a mean verbal SAT score of 520 with a standard deviation of 35. Test the claim, at the 0.05 alpha level, that the mean Verbal SAT score of freshmen at this university is different from 570.