For Exercises 13–18, a random sample is drawn from a normal population. Do the following:

  1. State the hypotheses and the rejection rule.
  2. Calculate . Draw a distribution and indicate the location of .
  3. Find the -value and indicate the -value in your distribution in (b).
  4. Compare the -value with level of significance . State the conclusion and interpretation.

Question 9.338

15. We are testing whether and have a sample of size with a standard deviation of .

9.6.15

(a) . Reject if the . (b)

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(c) (d) Since the is not , we do not reject . There is insufficient evidence that the population standard deviation is different from 3.