Concept explainers
a.
Calculate the mean, variance, and standard deviation for the given random variable W.
a.
Answer to Problem 19P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let W be the random variable defined as the difference between the scores
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
b.
Calculate the mean, variance, and standard deviation for the given random variable W.
b.
Answer to Problem 19P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let W be the random variable defined as the average of the scores
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
c.
Calculate the mean, variance and standard deviation for the given random variable L.
c.
Answer to Problem 19P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let L be the random variable defined as the handicap formula for Person N
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
d.
Calculate the mean, variance, and standard deviation for the given random variable L.
d.
Answer to Problem 19P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let L be the random variable defined as the handicap formula for Person G
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
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Chapter 5 Solutions
Understandable Statistics: Concepts and Methods
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