The figure shows a normal N(400, 23) distribution. Find the x value for the shaded area. C.2 we get P(z 1.75) = .0401, so x = µ + zσ = 400 + 1.75(23) = 440.3, or from Excel =NORM.INV(0.96,400,23) = 440.3.
A)412.9
B)426.7
C)436.2
D)440.3

Question

The figure shows a normal N(400, 23) distribution. Find the x value for the shaded area.  C.2 we get P(z > 1.75) = .0401, so x = µ + zσ = 400 + 1.75(23) = 440.3, or from Excel =NORM.INV(0.96,400,23) = 440.3.
A)412.9 
B)426.7 
C)436.2 
D)440.3

Quizplus · Accepted Answer

The shaded area corresponds to the probability P(z > 1.75), which can be found using a standard normal table or a calculator. Then using x = µ + zσ, we can find the x value for this probability based on the given mean and standard deviation. Therefore, the answer is D) 440.3.

The Figure Shows a Normal N(400, 23) Distribution