The lengths of mature jalapeno fruits are normally distribut

The lengths of mature jalapeno fruits are normally distributed with a mean of 3 inches and a standard deviation of 1 inch.

What is the probability that a randomly selected mature jalapeno fruit is between 1.5 and 4 inches long? (5 pts)

Find the 90th percentile of the jalapeno fruit length distribution. (5 pts)

If a random sample of 100 mature jalapeno fruits is selected, what is the standard deviation of the

sample mean?

P(1.5<x<4)=0.8413-0.06680=0.7745

this is calculated using NORM.DIST fucntion in ecel.

P(z<x)=0.9

find NORM.INV function in excel and find this value, we get 4.28155

n=100

sd of sample mean=sd/sqrt(n)=1/sqrt(100)=0.1