The Centers for Disease Control & Prevention in Maryland
reports that the mean weight (in pounds) for adult females aged 20
years and over is µ = 166. Assume that this distribution is normal
in shape and the standard deviation = 25. If you find that a
particular woman’s weight given as a z score is z = -1.5, how many
pounds does she weigh (that is, solve for X)? Round to the nearest
tenths place if a fraction. [Note, if your calculated value is not
identical to one of the values below, but within plus or minus 0.5
of an answer below, assume it’s a rounding error and select the
answer that is closest to your calculated value.]