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State the Null Hypothesis State the Alternative Hypothesis Find the test statistic Find the critical value or values State...

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Question

Statistics

  1. State the Null Hypothesis
  2. State the Alternative Hypothesis
  3. Find the test statistic
  4. Find the critical value or values
  5. 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.

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