SOLUTION: A particular group of men have heights with a mean of 183183 cm and a standard deviation of 66 cm. EarlEarl had a height of 194194 cm. a.a. What is t

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Question 1117625: A particular group of men have heights with a mean of
183183
cm and a standard deviation of
66
cm.
EarlEarl
had a height of
194194
cm.




a.a.
What is the positive difference between
EarlEarl​'s
height and the​ mean?
b.b.
How many standard deviations is that​ [the difference found in part​ (a)]?

c.c.
Convert
EarlEarl​'s
height to a z score.
d.d.
If we consider​ "usual" heights to be those that convert to z scores between
minus−2
and​ 2, is
EarlEarl​'s
height usual or​ unusual?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The absolute difference is 194-183=11 cm.
I think the SD is more like 6 cm. I will use that
That is 11/6 or 1.83 of a SD.
A z-score is (x-mean)/sd
The z-score is 11/6 or +1.83
This falls within the (-2, 2) range and the height would not be considered unusual.