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

Question

Mathematics

Aleena Vazquez

31 October, 20:58

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

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Aracely Ibarra · Answer 1

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