SOLUTION: If the weight of female police officers closely follows the normal distribution with a mean of 125 pounds and a standard deviation of 5 pounds, what range of weights includes the m
Algebra.Com
Question 849424: If the weight of female police officers closely follows the normal distribution with a mean of 125 pounds and a standard deviation of 5 pounds, what range of weights includes the middle 80% of the female police force?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the weight of female police officers closely follows the normal distribution with a mean of 125 pounds and a standard deviation of 5 pounds, what range of weights includes the middle 80% of the female police force?
-----
Find the z-values that bracket 0.8 symetrically around the mean::
invNorm(0.10) = -1.2816 and invNorm(0.9) = +1.2816
-----
Find the corresponding weight values using wt = z*s + u
-----
Lower wt limit:: -1.2816*5 + 125 = 118.15 lbs
Upper wt limit:: +1.2816*5 + 125 = 131.41 lbs
----------------------------------------------
Cheers,
Stan H.
------------------------
RELATED QUESTIONS
The weights of trout in a certain river follow a normal distribution with mean 3 pounds... (answered by stanbon)
Weights of the Pacific yellowfin tuna follow a normal distribution with mean 68 pounds... (answered by ewatrrr)
Rutter Nursey Company packages its pine bark mulch in 50-pound bags. From a long... (answered by Boreal)
Assume that the hourly cost to operate a commercial airplane follows the normal... (answered by robertb)
A recent survey found that the weight of students on cambridge campus follows a normal... (answered by amfagge92)
In a recent survey, 90 percent of the community favored building a police substation in... (answered by ewatrrr)
The weight of a new-born baby follows a normal distribution with mean 3.44 kg
and (answered by stanbon)
if x follows a normal distribution with a mean of 100 and standard deviation of 10 , what (answered by ewatrrr)
There are currently 7,456 police officers in a particular state. 3,211 of them are... (answered by josgarithmetic)