Part 1 : A population of values has a normal distribution with μ=87.3μ=87.3 and σ=50.4σ=50.4. You intend to draw a random sample of size n=13n=13. Find P 68 , which is the score separating the bottom...

Part 1 :

A population of values has a normal distribution with μ=87.3μ=87.3 and σ=50.4σ=50.4. You intend to draw a random sample of size n=13n=13.


FindP
₆₈, which is the score separating the bottom 68% scores from the top 32% scores.

P
₆₈
(for single values) = _______

Part 2

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 190.4-cm and a standard deviation of 1.9-cm. For shipment, 16 steel rods are bundled together.


Find the probability that the average length of a randomly selected bundle of steel rods is less than 190.2-cm.

P(M
< 190.2-cm)="">