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11. the volume of water in a bottle is approximately normally distribut…

Question

  1. the volume of water in a bottle is approximately normally distributed with a mean of 500 ml and a standard deviation of 0.4 ml. 11a find the volume of water which is 1.2 standard deviations below the mean. volume of water = 499.52 ml 5 you got it 11b find the value of the z - score that corresponds to the volume of water found in part (a). z - score = enter your next step here

Explanation:

Step1: Recall z-score definition

A z-score measures how many standard deviations a value is from the mean. A value below the mean has a negative z-score.

Step2: Match to given condition

The volume is 1.2 standard deviations below the mean, so the z-score directly corresponds to this number with a negative sign.

Answer:

-1.2