Question

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 1

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