Question

The amount of snow falling in a certain mountain range is normally distributed with a mean of 110 inches, and standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly pick years will exceed 112.8 inches? Round your answer to four decimal places

a.) 0.0026

b.) 0.4192

c.) 0.0808

d.) 0.5808

Answer 1

Result:

The amount of snow falling in a certain mountain range is normally distributed with a mean of 110 inches, and standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly pick years will exceed 112.8 inches? Round your answer to four decimal places

a.) 0.0026

b.) 0.4192

correct option: c.) 0.0808

d.) 0.5808

standard error = sd/sqrt(n) = 16/sqrt(64) = 2

z value for 112.8, z =(112.8-110)/2 = 1.4

P( mean x >112.8) = P( z > 1.4)

=0.0808

Excel function used: =1-NORM.S.DIST(1.4,TRUE)