Question

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 $Z_0$ for the significance level of 0.10? Round your answer to two decimal places.

Answer 1

Answer:

The required critical values is ±1.65  

Step-by-step explanation:

Consider the provided information.

We have given that the significance level is 0.10

Therefore, α=0.10

This is a two tailed test.

The Z critical value is: $Z_{\frac{\alpha}{2}}$

$Z_{\frac{\alpha}{2}}=Z_{\frac{0.10}{2}}=0.05$

Now by using the table we can find the required value.

$Z_{\frac{\alpha}{2}}=1.645$

$-Z_{\frac{\alpha}{2}}=-1.645$

Hence, the required critical values is ±1.65