You randomly select a sample of n = 16 organizations. For this sample, the standard deviation is 8. To calculate a 99% confidence interval, which of the following formulas would you use?
A) x̄ ± 1.753 * 2
B) x̄ ± 2.131 * 2
C) x̄ ± 1.753 * 0.5
D) x̄ ± 2.131 * 0.5

Question

Quizplus · Accepted Answer

For a 99% confidence interval with a sample size of n = 16, you use the t-distribution with 15 degrees of freedom. The critical t-value for 99% confidence and 15 degrees of freedom is approximately 2.947, but the closest option provided is 2.131, which is likely a mistake in the options. The formula should be x̄ ± t * (s/√n), where s is the standard deviation and n is the sample size.

You Randomly Select a Sample of N = 16 Organizations