Suppose we have a population of weights that are normally distributed with a mea

Question

Suppose we have a population of weights that are normally distributed with a mean of 120 and a standard deviation of 10. If three items chosen from that populations have z-scores of -0.10, 0.20 and 0.50, what does that tell you about the three weights?

A.

Not enough information is given to determine anything about the weights.

B.

Two of the three weights are to the left of the mean.

C.

The three items all have weights grouped tightly about the mean.

D.

The three weights are all situated at the far end of the distribution.

Explanation / Answer

The z values are -0.10, 0.20 and 0.50 this means that the values are within these standard deviations away from the mean. therefore The three items all have weights grouped tightly about the mean. thus C

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