Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Question
Chapter 6, Problem 3E
a)
To determine
To explain the shape of the distribution.
a)
Expert Solution
Answer to Problem 3E
The distribution is left skewed.
Explanation of Solution
Given:
Lowest salary = $300
IQR = $600
First
Standard deviation = $400
If the median is less than the mean then the distribution is left skewed. If the median is greater than mean then the distribution is right skewed. If the both equals then it is symmetric.
Here, Median < mean, the distribution is left skewed.
b)
To determine
To explain between what values the middle 50% salary found.
b)
Expert Solution
Answer to Problem 3E
The middle 50% of salaries fall between $350 and $950
Explanation of Solution
Given:
Lowest salary = $300
Mean salary = $700
Median = $500
Range = $1200
IQR = $600
First quartile = $350
Standard deviation = $400
Formula:
Third quartile:
First need to find third quartile.
Therefore, middle 50% salary is between 350 and 950
c)
To determine
To explain the change in summary statistics when each employee’s salary raises by $50
c)
Expert Solution
Explanation of Solution
Given:
Lowest salary = $300
Mean salary = $700
Median = $500
Range = $1200
IQR = $600
First quartile = $350
Standard deviation = $400
The change in salary will affect on only lowest salary, mean salary, median and first quartile. Other things will remain unchanged.
Therefore, the summary statistics becomes,
Lowest salary = $350
Mean salary = $750
Median = $550
Range = $1200
IQR = $600
First quartile = $400
Standard deviation = $400
d)
To determine
To explain the change in summary statistics when each employee’s salary raises by 10%
d)
Expert Solution
Explanation of Solution
Given:
Lowest salary = $300
Mean salary = $700
Median = $500
Range = $1200
IQR = $600
First quartile = $350
Standard deviation = $400
We need to multiply by 0.10 to each value.
Therefore, the summary statistics becomes,
Lowest salary = $330
Mean salary = $770
Median = $550
Range = $1320
IQR = $660
First quartile = $385
Standard deviation = $440
Chapter 6 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Ch. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3ECh. 6 - Prob. 4ECh. 6 - Prob. 5ECh. 6 - Prob. 6ECh. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10E
Ch. 6 - Prob. 11ECh. 6 - Prob. 12ECh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Prob. 21ECh. 6 - Prob. 22ECh. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Prob. 29ECh. 6 - Prob. 30ECh. 6 - Prob. 31ECh. 6 - Prob. 32ECh. 6 - Prob. 33ECh. 6 - Prob. 34ECh. 6 - Prob. 35ECh. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Prob. 38ECh. 6 - Prob. 39ECh. 6 - Prob. 40ECh. 6 - Prob. 41ECh. 6 - Prob. 42ECh. 6 - Prob. 43ECh. 6 - Prob. 44ECh. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Prob. 47ECh. 6 - Prob. 48E
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