For Exercises 41–46, a confidence interval is given (see Section 8.1). Use the confidence interval to test, using level of significance , whether differs from each of the indicated hypothesized values.

Question 9.147

41. A 95% confidence interval for is (−2.7, 6.9). Hypothesized values are

  1. −3
  2. −2
  3. 0
  4. 5
  5. 7

9.3.41

Value of
Form of hypothesis test,
with
Where
lies in relation to 95%
confidence
interval
Conclusion of
hypothesis test
a. –3 Outside Reject
b. 2 Inside Do not reject
c. 0 Inside Do not reject
d. 5 Inside Do not reject
e. 7 Outside Reject