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PilotLPTM [1.2K]
4 years ago
7

The time required for a citizen to complete the 2010 u.s. census "long" form is normally distributed with a mean of 40 minutes a

nd a standard deviation of 10 minutes. what is the third quartile (in minutes) for the time required to complete the form? 44.75 46.75 47.50 52.50
Mathematics
1 answer:
KiRa [710]4 years ago
6 0
The third quartile will be evaluated as follows:
z-score=(x-mu)/sig
mu=40
sig=10
the z-value corresponding to 0.75 is 0.68
hence:
0.67=(x-40)/10
solving for x we get:
6.7=x-40
x=6.7+40
x=46.7
x~46.75

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