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 P68, which is the score separating the bottom 68% scores from the top 32% scores.P68 (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) = ___________

Question

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 P68, which is the score separating the bottom 68% scores from the top 32% scores.
P68 (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) = ___________

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