(Solved): Determine the appropriate critical value(s) for each of the following tests conceming the populati ...

Determine the appropriate critical value(s) for each of the following tests conceming the population mean: a. \( \mathrm{H}_{\mathrm{A}}: \mu>10, \mathrm{n}=10, \sigma=10.9, \alpha=0.025 \) b. \( \mathrm{H}_{\mathrm{A}}: \mu \neq 25, \mathrm{n}=25, \mathrm{~s}=32.28, \alpha=0.02 \) c. \( H_{\mathrm{A}}: \mu \neq 35, \mathrm{n}=38, \sigma=32.283 \alpha=0.10 \) d. \( \mathrm{H}_{\mathrm{A}}: \mu<51 ; \) data: \( 11.9,14.6,42.4,23.5,17.7 ; \alpha=0.05 \) e. \( H_{A}: \bar{x}>15, n=27, \sigma=11.3 \) a. Determine the appropriate critical value(s) for the test \( \mathrm{H}_{\mathrm{A}}: \mu>10, \mathrm{n}=10, \sigma=10.9, \alpha=0.025 \). A. The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. This is an invalid hypothesis test.