- State the Null Hypothesis
- State the Alternative Hypothesis
- Find the test statistic
- Find the critical value or values
- State the conclusions to the hypothesis test.
Please find all of the above for the scenarios below
Part I. A university is looking into its mathematics placementprocedure. The university assumes its population mean math SATscore of all incoming freshmen is 600. Suppose that a simple randomsample of 33 freshmen at that university reveals a mean math SATscore of 614 with a standard deviation of 47. Test the claim, atthe 0.05 alpha level, that the mean math SAT score of freshmen atthis university is more than 600
Part II. Question 2: This same university is looking into itsEnglish placement as well. The university assumes its populationmean Verbal SAT score for all incoming freshmen is 570. Supposethat a simple random sample of 51 freshmen at that universityreveals a mean verbal SAT score of 520 with a standard deviation of35. Test the claim, at the 0.05 alpha level, that the mean VerbalSAT score of freshmen at this university is different from 570.
