Answered: the lengths of nails (in millimeters)…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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i need help solving this homework question:

the lengths of nails (in millimeters) at a certain plant are normally distributed with a mean of 20.00 and a standard deviation of 0.21. nails produced will be rejected unless their lengths are between 19.71 mm and 20.42 mm.

what percent of the nails are accepted?

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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