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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Chapter 6, Problem 36E
a)
To determine
To explain which one is better summary of the percentage of White residents in the neighborhoods.
a)
Expert Solution
Answer to Problem 36E
Explanation of Solution
Given:
The distribution is left skewed. Therefore, when the distribution is left skewed then the
b)
To determine
To explain which one is better summary of the spread.
b)
Expert Solution
Answer to Problem 36E
IQR.
Explanation of Solution
Given:
The distribution is left skewed. Therefore, when the distribution is left skewed then the standard deviation is highly influenced by the outlier points. Hence, IQR would better summary statistics as it is more resistant to skewed effects.
c)
To determine
To find the percent of neighborhood within 1 standard deviation.
c)
Expert Solution
Answer to Problem 36E
The 68% of the values are within 1 standard deviation of the mean.
Explanation of Solution
Given:
According to rule of 68-95-99.7, the 68% of the values are within 1 standard deviation of the mean.
d)
To determine
To find the actual percent of neighborhood within 1 standard deviation.
d)
Expert Solution
Answer to Problem 36E
More than 80% of the values are within 1 standard deviation of the mean.
Explanation of Solution
Given:
Form Histogram, more than 80% of the neighborhoods have a white percentage greater than 61.33%. Therefore, about 80% of the data lies within 1 standard deviation from the mean.
e)
To determine
To explain discrepancy between part c and part d.
e)
Expert Solution
Answer to Problem 36E
The assumptions of Normal model do not fit so there is discrepancy between part c and d.
Explanation of Solution
Given:
As we know, the distribution is left skewed and we can not use Normal model for this distribution. That’s why there is discrepancy between part c and d.
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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