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Hogwarts need to order more magic wands with a length of 20 cm.  Since all magic wands are unique, the length varies normally with an average value of 19.7 cm and a standard deviation of 0.4 cm.  What percentage of the wands are expected to be shorter than 19.3 cm?

 May 7, 2021
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Average (mean) = 19.7  cm    ONE standad deviation (0.4) below the mean is 19.3 cm

   How many wands are below one standard deviation?

    from z-score table   z = -1    equates to   .1587     or 15.87%

 May 7, 2021

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