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4 April, 20:11

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus 2.00, minus 1.00, 0, 1.00, 2.00? Why?

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  1. 4 April, 20:31
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    You would prefer a z-score of 2, because the higher the z-score, the higher your grade was relative to your classmates.

    Step-by-step explanation:

    The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

    For example

    If the z-score of your grade was - 2, it means that your grade was 2 standard deviations below the average grade.

    Otherwise, if the z-score of your grade was 2, it means that your grade was 2 standard deviations above the average higher.

    The higher the z-score, the better.

    So you would prefer a z-score of 2, because the higher the z-score, the higher your grade was relative to your classmates.
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