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Analyzing Age Distribution of Proofreaders: A Statistical Approach
Chapter 6, Problem 24(choose chapter or problem)
Assume that the sample is taken from a large population and the correction factor can be ignored.
Ages of Proofreaders 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.
a. If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5 years.
b. If a random sample of 15 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years.
Questions & Answers
QUESTION:
Assume that the sample is taken from a large population and the correction factor can be ignored.
Ages of Proofreaders 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.
a. If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5 years.
b. If a random sample of 15 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years.
ANSWER:Step 1 of 3
Given,
the mean age of proofreaders is,
Standard deviation is,
And
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Analyzing Age Distribution of Proofreaders: A Statistical Approach
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Discover the statistical process behind analyzing the age distribution of proofreaders at a publishing company. Learn how to use the Z-score formula for individual and sample mean probabilities, and how to interpret results using a Z-table.