Answer to Question #188464 in Statistics and Probability for sean

Question #188464

Direction: Find the appropriate rejection region in each case. (Show your complete solution.)

1. Ha: µ > µo, α= 0.05

2. Ha: µ < µo, α= 0.05

3. A right-tailed test at 10% level of significance

4. A left-tailed test at 10% level of significance

5. A two-tailed test at 10% level of significance


1
Expert's answer
2021-05-07T11:41:11-0400

1."H_a: \u00b5 > \\mu_o, \\alpha= 0.05"


Rejection: Reject H_o if z<z_{0.05}i.e. z<1.645.


2.."H_a: \u00b5 < \\mu_o, \\alpha= 0.05"


Rejection: Reject "H_o \\text{ if } z>z_{0.05}\\text{ i.e. } z>1.645."


3.A right-tailed test at 10% level of significance

Rejection: Reject "H_o \\text{ if } z<z_{0.1}\\text{ i.e. } z<1.2816"


4. A left-tailed test at 10% level of significance


Rejection: Reject "H_o \\text{ if } z>z_{0.05}\\text{ i.e. } z>1.2816"


5. A two-tailed test at 10% level of significance


Rejection: Reject "H_o \\text{ if } z>z_{0.25} \\text{ and }z<-z_{0.25} \\text{ i.e. } z>1.96 \\text{ and } z<-1.96."


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