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."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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