SOLUTION: I'm sorry if this is the wrong place to put this so if it's wrong just please redirect. Please help with this The shoe sizes of women in a survey are distributed normally about

Question 391579: I'm sorry if this is the wrong place to put this so if it's wrong just please redirect. Please help with this

The shoe sizes of women in a survey are distributed normally about the mean. Suppose the survey included data on 200 women. About how many women would you expect to wear sizes 5-7?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The shoe sizes of women in a survey are distributed normally about the mean. Suppose the survey included data on 200 women. About how many women would you expect to wear sizes 5-7?
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Looking at your bar chart, it looks like the mean size is 7 and
the range of sizes is 4 to 10
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The range for a normal distribution is commonly considered
to be 6 sigma.
So 6 sigma = 10-4 = 6
Therefore the standard deviation is 1.
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Find the z-values of 5 and 7.
z(5) = (5-7)/1 = -2
z(7) = (7-7)/1 = 0
---
P(5< x <7) = P(-2< z <0) = 0.4773
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Question: About how many women would you expect to wear sizes 5-7?
Ans: 0.4773*200 = 95.449
Rounding up you get "about 96".
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Cheers,
Stan H.

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