For Exercises 3–14, do the following:

  1. State the hypotheses.
  2. Calculate the critical value and state the rejection rule. Also, sketch the critical region.
  3. Find the test statistic .
  4. State the conclusion and the interpretation.

Question 9.203

7. A random sample of size 25 from a normal population yields and . Researchers are interested in finding whether the population mean exceeds 100, using level of significance .

9.4.7

(a) (b) . Reject if 2.492.

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(c) (d) Since (d) is not , the conclusion is do not reject . There is insufficient evidence at the 0.01 level of significance that the population mean is greater than 100.