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6 December, 23:17

The popping-times of the kernels in a certain brand of microwave popcorn are normally distributed with a mean of 150 seconds and a standard deviation of 11 seconds.

The first kernel pops 126 seconds after the microwave oven is started. What is the z-score of this kernel?

Also what in the world is a z-score?

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  1. 6 December, 23:28
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    The z-score of the data can be calculated by the formula expressed as follows:

    z = (score - mean) / standard deviation

    z = (126 - 150) / 11 = - 2.18

    A z-Score is a statistical measurement of a score's relationship to the mean in a group of scores. A Z-score of 0 means the score is the same as the mean.
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