Question

A negative value of Z indicates that
A. the number of standard deviations of an observation is to the right of the mean
B. the number of standard deviations of an observation is to the left of the mean
C. a mistake has been made in computations, since Z cannot be negative
D. the data has a negative mean

Answer 1

Answer:

We need to remember that the Z value comes froma normal standard distribution given by:

$Z\sim N(\mu=0,\sigma=1)$

So then the mean is 0 and all the values in the left are negative. So then if we want to analyze that if A is negative then  value of Z indicates that :

B. the number of standard deviations of an observation is to the left of the mean

Step-by-step explanation:

We need to remember that the Z value comes froma normal standard distribution given by:

$Z\sim N(\mu=0,\sigma=1)$

And the z score formula is given by:

$z=\frac{X -\mu}{\sigma}$

So then the mean is 0 and all the values in the left are negative. So then if we want to analyze that if A is negative then  value of Z indicates that :

B. the number of standard deviations of an observation is to the left of the mean

Answer 2

B. the number of standard deviations of an observation is to the left of the mean

A $Z$ score is a numerical measurement that describes a value's relationship to the mean of a group of values. The value of the $Z$ score tells you how many standard deviations you are away from the mean. A negative $Z$ score reveals the raw score is below the mean average. Also, a negative value of Z indicates that B. the number of standard deviations of an observation is to the left of the mean

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