SOLUTION: For a normal distribution that has a mean of 100, and a standard deviation of 8, determine the z-score for each of the following X values: x= 108, Z= ? I got 1 is that correct?

Question 906693: For a normal distribution that has a mean of 100, and a standard deviation of 8, determine the z-score for each of the following X values:
x= 108, Z= ? I got 1 is that correct?
x= 112, z= ? I got 1.5
x= 98, z= ? I got -0.25
x= 70, z= ? I got -3.75
x= 124 z= ? I got 3
Use the information above to determine the area: I don't know :(
p(x>108) =
p(x<98) =
p(92 < x< 108) =
p(84 < x < 116)=
p(x < 84) =
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For a normal distribution that has a mean of 100, and a standard deviation of 8, determine the z-score for each of the following X values:
x= 108, Z= ? I got 1 is that correct?:::: yes
-----------------------------
x= 112, z= ? I got 1.5:::: yes
-----------------------------------------
x= 98, z= ? I got -0.25
x= 70, z= ? I got -3.75
x= 124 z= ? I got 3
Use the information above to determine the area: I don't know :(
p(x>108) = P (z > 1) = normalcdf(1,100) = 0.1587..
------------------------------
p(x<98) = p(z < -0.25) = normalcdf(-100,-0.25) = 0.4013
-----------------------------------
p(92 < x< 108) = P(-1<= z <=1) = normalcdf(-1,1) = 0.6827
-----------------------------------
p(84 < x < 116)= p(-2<= z <=2) = normalcdf(-2,2) = 0.9545
--------------
p(x < 84) = p(z < -2) = normalcdf(-100,-2) = 0.0228
-----
Cheers,
Stan H.
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