Questions: Using the z table (The Standard Normal Distribution Table), find the critical value (or values) for the right-tailed test with α=0.06. Round to two decimal places, and enter the answers separated by a comma if needed.

Solution Steps

To find the critical value for a right-tailed test with significance level $\alpha = 0.06$, we need to identify the z-score such that the area to the right of this z-score corresponds to $\alpha$. This means we are looking for the z-score where the cumulative probability is $1 - \alpha = 0.94$.

Using the standard normal distribution, we can express the cumulative probability as: $$P = \Phi(Z_{end}) - \Phi(Z_{start}) = \Phi(0.94) - \Phi(-\infty)$$ Since $\Phi(-\infty) = 0$, we have: $$P = \Phi(0.94) \approx 0.8264$$

The critical z-score corresponding to the cumulative probability of $0.94$ is: $$Z_{critical} = 0.94$$

Final Answer