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Sagot :
The Chebyshev Theorem guarantees that we will find at least 75% of the people with wages between $9.25 and $14.25.
What does Chebyshev’s Theorem state?
When the distribution is not normal, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
The Chebyshev Theorem guarantees that we will find at least 75% of the people with wages within 2 standard deviations of the mean, hence the bounds are:
- 11.75 - 2 x 1.25 = $9.25.
- 11.75 + 2 x 1.25 = $14.25.
More can be learned about the Chebyshev Theorem at https://brainly.com/question/25303620
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