Answered: In a certain factory of rags, the time…

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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Question

In a certain factory of rags, the time it takes for the workers to finish one rag is normally distributed with a mean of 27 minutes and a standard deviation of 8 minutes.

a. Find the percentage of rags that will be finished in less than 25 minutes

b. Find the percentage of rags that will be finished in more than 33 minutes.

c. Find the proportion of rags that will be finished between 19 minutes and 31 minutes.

d. If 10,000 rags are produced in a day, how many are done in less than 25 minutes?

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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