Answer:
Step-by-step explanation:
To find the critical value z∗ for constructing a 92% confidence interval, we look at the standard normal distribution (Z-distribution) and find the z-score corresponding to the desired confidence level.
Since the confidence interval is symmetric around the mean, we want to find the z-score that leaves 4% of the distribution in the tails (100% - 92% = 8%, divided by 2 for each tail).
Using a standard normal distribution table or a statistical software, we can find the z-score that corresponds to the area to the right of it being 4%.
From standard normal distribution tables, we find that the z-score corresponding to 4% in the right tail is approximately z∗ = 1.75.
Therefore, the critical value z∗ for constructing a 92% confidence interval is approximately 1.75.
