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[Solution Library] To test H 0: µ = 80 versus H 1 : µ < 80, a simple random sample of size n = 22 is obtained from a population that is known to be normally

Question: To test H 0: µ = 80 versus H 1 : µ < 80, a simple random sample of size n = 22 is obtained from a population that is known to be normally distributed.

  1. If x̃ = 76.9 and s = 8.5, compute the test statistic.
  2. If the researcher decides to test this hypothesis at the a = 0.02 level of significance, determine the critical value.
  3. Draw a t -distribution that depicts the critical region.
  4. Will the researcher reject the null hypothesis? Why?

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