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Assume that the sample is taken from a large
Chapter 6, Problem 24E(choose chapter or problem)
For Exercises 7 through 25, 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:
For Exercises 7 through 25, 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:Solution:
Step 1 of 3:
It is given that 36.2 years is the mean age of proofreaders and 3.7 years is the standard deviation.
Also, it is given that the ages are Normally distributed.
Using this we need to obtain the required valued.