[Solved] A researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population.


Question: A researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population. A random sample of 90 students at a private high school is tested and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (σ= 200).

  1. Is this a one- or two tailed test?
  2. What are H 0 and H a for this study?
  3. Compute Z obt
  4. What is the Z critical value (Z cv ) using a 0.05 alpha level?
  5. Should H 0 be rejected? What should the researcher conclude?
  6. Determine the 95 % confidence interval for the population mean, based on the sample mean.

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