SOLUTION: At the New Age Information Corporation, the ages of all new employees hired during the last 5 years are normally distributed. Within this curve, 95% of the ages, centered about t

Algebra ->  Probability-and-statistics -> SOLUTION: At the New Age Information Corporation, the ages of all new employees hired during the last 5 years are normally distributed. Within this curve, 95% of the ages, centered about t      Log On


   

Question 1050440: At the New Age Information Corporation, the ages of all new employees hired
during the last 5 years are normally distributed. Within this curve, 95% of the ages,
centered about the mean, are between 24.6 and 37.4 years. Find the mean age and the
standard deviation of the data
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
blue%28sigma%29%2Az+%2B+mu=blue+%28x%29
z invNorm(.05/2) = invNorm(.025)= -1.96 and z = invNorm(.975) = 1.96
-1.96σ + μ = 24.6
1.96σ + μ = 37.4
2μ = 62
μ= 31
1.96σ + 31 = 37.4
σ = 6.4/1.96 = 3.265 (Round as Directed)