You randomly draw a sample of n = 16 where $\sigma$ = 4. If the sample mean is 1, which of the following are the bounds of a 95% confidence interval?
A) -2.96, .96
B) -.96, 2.96
C) -14.68, 16.68
D) -16.68, 14.68

Question

Quizplus · Accepted Answer

The 95% confidence interval is calculated as the sample mean ± (critical value * standard error). The standard error is σ/√n = 4/√16 = 1. The critical value for 95% confidence with a normal distribution is approximately 1.96. Thus, the interval is 1 ± 1.96, which is approximately -.96 to 2.96.

You Randomly Draw a Sample of N = 16 Where σ\sigmaσ

You Randomly Draw a Sample of N = 16 Where $\sigma$