In a normal population where the mean is 900 and the standard deviation is 25; what value of X is the 67th percentile?
solution
Using standard normal table,
P(Z < z) = 67%
= P(Z < z) = 0.67
= P(Z < 0.44) = 0.67
z =0.44 ( Using standard normal z table,)
Using z-score formula
x= z * +
x= 0.44*25+900
x=911
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