The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 195.70 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?       Question content area bottom Part 1 a. The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 2 b. The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 3 c. Choose the correct answer below.     A. The normal distribution can be used because the original population has a normal distribution.   B. The normal distribution can be used because the finite population correction factor is small.   C. The normal distribution can be used because the mean is large.   D. The normal distribution can be used because the probability is less than 0.5

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The overhead reach distances of adult females are normally distributed with a mean of
197.5 cm
and a standard deviation of
8.3 cm.
a. Find the probability that an individual distance is greater than
210.00
cm.
b. Find the probability that the mean for
20
randomly selected distances is greater than 195.70 cm.
c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?
 
 
 

Question content area bottom

Part 1
a. The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 2
b. The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
c. Choose the correct answer below.
 
 
A.
The normal distribution can be used because the original population has a normal distribution.
 
B.
The normal distribution can be used because the finite population correction factor is small.
 
C.
The normal distribution can be used because the mean is large.
 
D.
The normal distribution can be used because the probability is less than 0.5
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