Answer: b. Her weight is 1.5 standard deviations below average.
Step-by-step explanation:
Given : A woman is told her weight has a standard score (z-score) of -1.5.
Let x denotes a random variable that represents the weight of woman.
Since ,
, where = Population mean and = Population standard deviation.
Put z= -1.5 in this , we get
i.e.
i.e.
It means , x is 1.5 standard deviations below the mean value.
This means that: Her weight is 1.5 standard deviations below average.
Hence, the correct answer is b. Her weight is 1.5 standard deviations below average.