Question

1) In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56 inches, and standard deviation of 2.6 inches.

What is the probability that the height of a randomly chosen child is between 61.9 and 62.5 inches?

2) A population of values has a normal distribution with μ=100.2 and σ=6.6. You intend to draw a random sample of size n=182.

Find the probability that a sample of size n=182 is randomly selected with a mean between 100.2 and 101.1.
P(100.2 < M < 101.1) =

Answer 1

Question. 1)

Answer : 0.00542

OR Using MS-Excel directly we can get :

Question.2)

Answer : 0.46709