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Chapter 3: Q. 3.106 (page 122)
What is another name for the Empirical rule? Why is that name appropriate?
Empirical rule is also referred as three-sigma rule.
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A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is The results of the study by P. Mackowiak et al. appeared in the article "A Critical Appraisal of the Upper Limit of the Normal Body Temperature, and Other Legacies of Carl Reinhold August Wunderlich" (Journal of the American Medical Association ). Among other data, the researchers obtained the body temperatures of healthy humans. The temperatures had a mean of and a standard deviation of
a. Construct a graph
b. Apply Chebyshev's rule with to make pertinent statements about the observations in the sample.
c. Repeat part (b) with
The Beatles. In the article. "Length of The Beatles' Songs",(Chance Vol. . No. , pp. ). T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of Beatles' songs are presented on the Weiss Stats site.
The data set has mean and standard deviation . Fill in the following blanks:
a. Approximately of the observations lie between_ and _
b. Approximately of the observations lie between_ and _
c. Approximately of the observations lie between _and _
Net worth: The board of Governors of the Federal Reserve system publishes information on family net worth in the survey of consumers fiances. Inthe mean net worth of the families in the united state wasrole="math" localid="1650792936700" thousand and the median net worth wasrole="math" localid="1650792957167" thousand. Which measure of center do you think is more appropriate? Justify your answer.
The data set has mean and standard deviation . Approximately what percentage of the observations lie between and ?
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