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Boxes of bran flakes are known to be normally distributed with a mean weight of 475g and a standard deviation of 10g.Calculate the probability of a box having a weight exceeding 485 grams. Calculate the probability that the mean weight of sixteen boxes will exceed 480g.

  • statistics -

    Use z-scores.

    Formula for the first part:

    z = (x - mean)/sd

    With your data:

    z = (485 - 475)/10

    I'll let you finish the calculation.

    Once you have the z-score, check a z-table for the probability. (Remember the problem is asking "weight exceeding" 485 grams.)

    Formula for the second part:

    z = (x - mean)/(sd/√n)

    With your data:

    z = (480 - 475)/(10/√16)

    I'll let you finish the calculation.

    Once you have the z-score, check a z-table for the probability. (Remember the problem is asking "mean weight... will exceed" 480 grams.)

    I hope this helps and will get you started.

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