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) About Me  (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.)
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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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