Answered: The Glen Valley Steel Company…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The Glen Valley Steel Company manufactures steel bars. If the production process is working properly, it turns out steel bars with lengths that are normally distributed with a mean of at least 2.8 feet, with a standard deviation of 0.20 foot (as determined by the engineering specifications on the production equipment involved). Longer steel bars can be used or altered, but shorter steel bars must be scrapped. You select a sample of 25 bars, and the mean length is 2.73 feet. Do you need to adjust the production equipment? (use a significance level of 0.05.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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