Mathematics, 08.12.2020 01:10 gracepiechowiak

Suppose a Normal model is useful for describing weights of steers. The mean and standard deviation of the weights of the steers from Ranch A was found to be 1200 lbs and 60 lbs respectively. The mean and standard deviation of the weights of the steers from Ranch B was found to be 1100 lbs and 40 lbs respectively. Would a steer from Ranch A which weighed 1300 lbs be larger than a steer from Ranch B which weighed 1200 lbs relatively to each respective ranch? A.
No, because the z-score for the steer from Ranch A is larger than the z-score for the steer from Ranch B.
B.
Yes, because the z-score for the steer from Ranch A is larger than the z-score for the steer from Ranch B.
C.
Yes, because the z-score for the steer from Ranch A is smaller than the z-score for the steer from Ranch B.
D.
No, because the z-score for the steer from Ranch A is smaller than the z-score for the steer from Ranch B.

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