For a sample with scores of 3, 4, 5, 6, 7, the 99 percent confidence interval about the population mean is
A) -2.27 to 12.27
B) -1.37 to 11.37
C) 1.74 to 8.26
D) 3.54 to 6.46

Question

Quizplus · Accepted Answer

The 99% confidence interval for the mean is calculated using the formula: CI = x̄ ± (z*σ/√n), where x̄ is the sample mean, z is the z-score corresponding to the confidence level, σ is the standard deviation of the sample, and n is the sample size. For this sample, the mean (x̄) is 5, the standard deviation (σ) can be calculated from the given data, and the sample size (n) is 5. The z-score for a 99% confidence level is approximately 2.576. Using these values, the calculation results in a confidence interval of approximately 1.74 to 8.26.

For a Sample with Scores of 3, 4, 5, 6