(a)
To find:
The values are within one standard deviation of the mean .
(a)
Answer to Problem 10E
The one standard deviation of the mean
Explanation of Solution
Given:
The
Concept used:
Normal distribution:- A normal distribution is a frequency distribution that often occurs
There is a large number of values in a set of data.
The graph of this distribution is a symmetric ,bell-shaped curve.
Calculation:
The normally distributed
Therefore ,
The one standard deviation of the mean
(b)
To find:
The values are within two standard deviation of the mean .
(b)
Answer to Problem 10E
The
Explanation of Solution
Given:
The normally distributed
Concept used:
Normal distribution:- A normal distribution is a frequency distribution that often occurs
There is a large number of values in a set of data.
The graph of this distribution is a symmetric ,bell-shaped curve.
Calculation:
The normally distributed
Therefore ,
The
(c)
To find:
The values fall in the interval between the mean and standard deviation of the mean .
(c)
Answer to Problem 10E
Explanation of Solution
Given:
The normally distributed
Concept used:
Normal distribution:- A normal distribution is a frequency distribution that often occurs
There is a large number of values in a set of data.
The graph of this distribution is a symmetric ,bell-shaped curve.
Calculation:
The normally distributed
Using the formula
Therefore ,
The interval about the mean that includes of the data
Chapter 14 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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