Question

In: Statistics and Probability

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

  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 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.

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