Concept explainers
a.
Explain the data and count the number of observations that fall into the given intervals.
a.
Answer to Problem 2.58SE
Explanation of Solution
Given:
The data shows the lengths of time between the onset of a particular illness and its recurrence were recorded.
Calculation:
Given: the given intervals are
Arrange the data values from smallest to largest.
Calculate
percentage
percentage
percentage
b.
Explain the data and count the number of observations that fall into the given intervals.
b.
Answer to Problem 2.58SE
Percentages do not agree with the
Explanation of Solution
Given:
The data shows the lengths of time between the onset of a particular illness and its recurrence were recorded.
Calculation:
Given: the given intervals are
Arrange the data values from smallest to largest.
Calculate
percentage
percentage
percentage
Tchebysheffs theorem states that
the observation are within one standard deviation of the mean
the observation are within two standard deviation of the mean
the observation are within three standard deviation of the mean
The percentages agree with the Tchebysheffs theorem are
Empirical theorem states that
the observation are within one standard deviation of the mean
the observation are within two standard deviation of the mean
the observation are within three standard deviation of the mean
The percentages
Hence the percentages do not agree with the Empirical rule.
c.
Explain about the Empirical rule for the given data.
c.
Answer to Problem 2.58SE
The Empirical rule unsuitable for the given data.
Explanation of Solution
Given:
The data shows the lengths of time between the onset of a particular illness and its recurrence were recorded.
Calculation:
The Empirical rule only useful for mound-shaped distribution. But the given data does not have a mound-shape distribution.
Hence the Empirical rule unsuitable for the given data.
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Chapter 2 Solutions
Introduction to Probability and Statistics
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning