A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 147.6 cm and a standard deviation of 1.5 cm. For shipment, 15 steel rods are bundled together. Note: Even though our sample size is less than 30, we can use the z score because 1) The population is normally distributed and 2) We know the population standard deviation, sigma. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 147.1 cm.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 147.6 cm and a standard deviation of 1.5 cm. For shipment, 15 steel rods are bundled together.

Note: Even though our sample size is less than 30, we can use the z score because
1) The population is normally distributed and
2) We know the population standard deviation, sigma.

Find the probability that the average length of a randomly selected bundle of steel rods is greater than 147.1 cm.


Enter your answer as a number accurate to 4 decimal places. 

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