Answered: At a large publishing company, the mean…

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 4CYU

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Question

At a large publishing company, the mean age of proofreaders is

36.2

years and the standard deviation is

3.7

years. Assume the variable is normally distributed. Round intermediate

-value calculations to two decimal places and the final answers to at least four decimal places.

If a random sample of

proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between

36.5

and

years. Assume that the sample is taken from a large population and the correction factor can be ignored.

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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