A negative value of z indicatesthat... a) the number of standard deviations of a

Question

   A negative value of z indicatesthat...    a) the number of standard deviations of anobservation is to the right of the mean    b) the number of standard deviations is to theleft of the mean    c) a mistake has been made in computationsbecause z cannot be negative    d) the data has a negative mean    I know that c) is not correct, and b) seemsto be the obvious answer, but if you have a negative mean, then youcan have a negative z value to the right of the mean,correct?    A negative value of z indicatesthat...    a) the number of standard deviations of anobservation is to the right of the mean    b) the number of standard deviations is to theleft of the mean    c) a mistake has been made in computationsbecause z cannot be negative    d) the data has a negative mean    I know that c) is not correct, and b) seemsto be the obvious answer, but if you have a negative mean, then youcan have a negative z value to the right of the mean,correct?

Explanation / Answer

Regardless of what the mean is of the normal distribution (whichmay be positive or negative), the mean of the STANDARD normal curveis zero. So, to the left of the mean there will be negativevalues and to the right of the mean there will be positive. So, B is the correct answer.

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