Question

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample?

Option 1: 0.99.
Option 2: 1.65.
Option 3: 1.96.
Option 4: 2.58.

Answer 1

The correct z-score for a confidence level of 95% is Option 3: 1.96.

Step-by-step explanation:

To find the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample, we can use the critical value associated with a 95% confidence interval. The correct option is Option 3: 1.96. This value is obtained by considering the area of 0.05 in each tail of the standard normal distribution, leaving a central area of 0.90.