A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 183.7 cm and a standard deviation of 0.7 cm. For shipment, 28 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 183.4 cm. Enter your answer as a number accurate to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 183.7 cm and a standard deviation of 0.7 cm. For shipment, 28 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 183.4 cm.


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

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