A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm. Find P98, which is the length separating the shortest 98% rods from the longest 2%. P98 = -cm

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm. Find P98, which is the length separating the shortest 98% rods from the longest 2%. P98 = -cm

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 1GP

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Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm.

Find P₉₈, which is the length separating the shortest 98% rods from the longest 2%.
P₉₈ = -cm

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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