SOLUTION: The area under a normal curve with mu = 15 and sigma = 2 is 0 1 2 none of these If Mary gets a 90 on a physics test where the mean is 85 and the standard deviation is 4.59,

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Question 621465: The area under a normal curve with mu = 15 and sigma = 2 is
0
1
2
none of these
If Mary gets a 90 on a physics test where the mean is 85 and the standard deviation is 4.59, where does she stand in relation to her classmates?
She is in the top 15%.
She is in the bottom 15%.
She is in the top 5%.
She is in the bottom 5%.
In a normal distribution with mu = 25 and sigma = 9, what number corresponds to z = -2?
21
16
7
none of these

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

Note:  Bell shaped Curve showing placement of z = 0, z = ±1, 2, 3 

Left or Right of z = 0 being 50% of the area under the standard normal curve...

The area under a normal curve = 1



As to: A set of data is normally distributed with a mean of 85 and SD of 4.59 

x = 90 

 z = (90-85)/4.59 = 1.089  

Exel function NORMSDIST(1.089) = .862 , 86.2% to the left and 13.8% to the right



As:a normal distribution with mu = 25 and sigma = 9, if z = -2, 

then z = (x -25)/9 = -2,   and   x =  -18 + 25 = 7 

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