Suppose X ~ N (10, 6). This says that x is a normally distributed random variable with mean μ = 10 and standard deviation σ = 6. Suppose x = 20, then x= 20 means that it is:
a) 1.67 above mean
b) 1.67 below mean
c) 0.67 above mean
d) 0.67 below mean
Answer
we have to find the z value
we have
we know the formula for the calculation of z is given as
setting the given values, we get
So, plus sign means above mean value
Option A is correct answer because z value is +1.67, i.e. 1.67 above the mean
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