The time it takes to process phone orders in a small florist/gift shop is normally distributed With a mean of 6 minutes and a standard deviation of 1.24 minutes.What cutoff value would Separate the 2.5% of orders that take the most time to process?
A)3.52 minutes
B)4.76 minutes
C)8.48 minutes
D)10.01 minutes
E)11.98 minutes

Question

Quizplus · Accepted Answer

Given that the distribution is normal, and we are looking for the cutoff value that separates the top 2.5% of orders, we use the Z-score corresponding to the top 2.5%, which is approximately 1.96 (for the top 2.5% in a one-tailed test). The formula to find the actual value (X) is X = μ + Zσ, where μ is the mean, Z is the Z-score, and σ is the standard deviation. Plugging in the values: X = 6 + 1.96(1.24) = 6 + 2.4824 ≈ 8.48 minutes.

The Time It Takes to Process Phone Orders in a Small