James Desreumaux, VP of Human Resources of Maritime Boat Manufacturing (MBM), is reviewing the employee training programs of MBM factories.His staff randomly selected personnel files for 100 workers in New Brunswick and determined that their mean training time was 25 hours.Assume that the population standard deviation is 5 hours.The 92% confidence interval for the population mean of training times is ___.
A)16.25 to 33.75
B)24.30 to 25.71
C)17.95 to 32.05
D)24.13 to 25.88
E)24.45 to 27.32

Question

Quizplus · Accepted Answer

The confidence interval is calculated using the formula: mean ± (Z * (σ/√n)). For a 92% confidence level, the Z-score is approximately 1.75. Using the given mean of 25, standard deviation of 5, and sample size of 100, the interval is 25 ± (1.75 * (5/√100)), which results in 24.13 to 25.88.