For Exercises 31 and 32, assume normality of the data, and do the following:

  1. State the hypotheses and the -value rejection rule for .
  2. Find .
  3. Find the -value. Also, draw a distribution and indicate and the -value.
  4. State the conclusion and the interpretation.

Question 9.416

31. We are testing whether and have a random sample of size eight with a sample variance of 1200.

9.99.31

(a) . Reject if the . (b) 6.857 (c)

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(d) Since the is not , we do not reject . There is insufficient evidence that the population standard deviation is less than 35.