SOLUTION: Heights of women have a​ bell-shaped distribution with a mean of 159 cm and a standard deviation of 66 cm. Using​ Chebyshev's theorem, what do we know about the percent
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Question 1008341: Heights of women have a bell-shaped distribution with a mean of 159 cm and a standard deviation of 66 cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 33 standard deviations of the mean? What are the minimum and maximum heights that are within 33 standard deviations of the mean?
At least __ % of women have heights within 33 standard deviations of 159 cm.
(Round to the nearest percent as needed.)
The minimum height that is within 33 standard deviations of the mean is
____ cm.
The maximum height that is within 33 standard deviations of the mean is
____ cm.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Heights of women have a bell-shaped distribution with a mean of 159 cm and a standard deviation of 6 cm.
Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 3 standard deviations of the mean?
Ans:: At least (1-(1/3)^2)% = 89% of the data is within 3 std
of the mean
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What are the minimum and maximum heights that are within 33 standard deviations of the mean?
Minimum:: 159-3*6 = 141 cm
Max:: 159 + 3*6 = 177 cm
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At least 89 % of women have heights within 33 standard deviations of 159 cm.
(Round to the nearest percent as needed.)
--------
The minimum height that is within 33 standard deviations of the mean is
141 cm.
The maximum height that is within 33 standard deviations of the mean is
177 cm.
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Cheers,
Stan H.
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