Introduction to Statistics and Data Analysis
Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 8.2, Problem 18E

Suppose that a sample of size 100 is to be drawn from a population with standard deviation 10.

  1. a. What is the probability that the sample mean will be within 1 of the value of μ?
  2. b. For this example (n = 100, σ = 10), complete each of the following statements by computing the appropriate value:
    1. i. Approximately 95% of the time, will be within of μ.
    2. ii. Approximately 0.3% of the time, will be farther than from μ.
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Introduction to Statistics and Data Analysis

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