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.
43. A 90% Z confidence interval for μ is (−10, −5). Hypothesized values μ0 are
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=−3 vs. Ha:μ≠−3 | Outside | Reject H0 |
b. | –8 | H0:μ=−8 vs. Ha:μ≠−8 | Inside | Do not reject H0 |
c. | –11 | H0:μ=−11 vs. Ha:μ≠−11 | Outside | Reject H0 |
d. | 0 | H0:μ=0 vs. Ha:μ≠0 | Outside | Reject H0 |
e. | 7 | H0:μ=7 vs. Ha:μ≠7 | Outside | Reject H0 |