what is the z - score with a confidence level of 95% when finding the margin of error for the mean of a…

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?\n0.99\n1.65\n1.96\n2.58

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?\n0.99\n1.65\n1.96\n2.58

Answer

Answer:

C. 1.96

Explanation:

Step1: Recall confidence - level concept

For a 95% confidence level, the area in the two - tails is (1 - 0.95=0.05).

Step2: Calculate tail - area

The area in each tail is (\frac{0.05}{2}=0.025).

Step3: Find z - score

Looking up the (z) - value in the standard normal distribution table (or using a calculator with a normal - distribution function) for an area of (1 - 0.025 = 0.975), we get (z = 1.96).