Concept explainers
To Find: The range about the sample mean that gives a 99% chance that the true mean lies within it.
Answer to Problem 45E
The interval about the sample mean is
Explanation of Solution
Given:
The mean diameter of the tree is 16.2 millimetres and the standard deviation of 1.4 millilitres.
The range about the sample mean is 99%.
Calculation:
Consider the standard deviation and the mean is,
To obtain the interval about the sample mean that has 99% chance that the true mean lies with the interval that is,
The range of the interval about the sample shows that the mean is 99% chance that the true mean lies is,
Thus, the interval about the sample mean is
Chapter 15 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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