Q:

A hypothesis will be used to test that a population mean equals 8 against the alternative that the population mean does not equal 8 with known variance σ. What are the critical values for the test statistic [tex]Z_0[/tex] for the significance level of 0.10? Round your answer to two decimal places.

Accepted Solution

A:
Answer:The required critical values is ±1.65  Step-by-step explanation:Consider the provided information.We have given that the significance level is 0.10Therefore, α=0.10This is a two tailed test.The Z critical value is: [tex]Z_{\frac{\alpha}{2}}[/tex][tex]Z_{\frac{\alpha}{2}}=Z_{\frac{0.10}{2}}=0.05[/tex]Now by using the table we can find the required value.[tex]Z_{\frac{\alpha}{2}}=1.645[/tex][tex]-Z_{\frac{\alpha}{2}}=-1.645[/tex]Hence, the required critical values is ±1.65