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For Exercises 41–46, a 100(1-α)% Z confidence interval is given (see Section 8.1). Use the confidence interval to test, using level of significance α, whether μ differs from each of the indicated hypothesized values.

Question 9.149

43. A 90% Z confidence interval for μ is (−10, −5). Hypothesized values μ0 are

  1. −3
  2. −8
  3. −11
  4. 0
  5. 7

9.3.43

Value of
μo
Form of hypothesis test,
with α=0.10
Where μo
lies in relation to
90% confidence
interval
Conclusion of
hypothesis test
a. –3 H0:μ=3vs.Ha:μ3 Outside Reject H0
b. –8 H0:μ=8vs.Ha:μ8 Inside Do not reject H0
c. –11 H0:μ=11vs.Ha:μ11 Outside Reject H0
d. 0 H0:μ=0vs.Ha:μ0 Outside Reject H0
e. 7 H0:μ=7vs.Ha:μ7 Outside Reject H0
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