The yearly cost of dental claims for the employees of the local shoe manufacturing company is normally distributed with a mean of $105 and a standard deviation of $35.What is the yearly cost at which 35% of the employees fall at or below?
A)$118.48
B)$127.29
C)$82.71
D)$91.53

Question

Quizplus · Accepted Answer

To find the cost at which 35% of the employees fall at or below, we need to find the z-score that corresponds to the 35th percentile. The z-score for the 35th percentile is approximately -0.385. Using the formula: X = μ + Zσ, where μ = 105 and σ = 35, we get X = 105 + (-0.385)(35) = 91.53.

The Yearly Cost of Dental Claims for the Employees of the Local