Question 7.15

7.15 A one-sample test.

The one-sample statistic for testing

from a sample of observations has the value .

  1. What are the degrees of freedom for this statistic?
  2. Give the two critical values from Table D that bracket .
  3. What are the right-tail probabilities for these two entries?
  4. Between what two values does the -value of the test fall?
  5. Is the value significant at the 5% level? Is it significant at the 1% level?
  6. If you have software available, find the exact -value.

7.15

(a) . (b) 2.131 and 2.249. (c) 0.025 and 0.02. (d) 0.02 < P-value < 0.025. (e) It is significant at the 5% level; it is not significant at the 1% level. (f) 0.0207.