The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. We calculated the value of z for a specific box of this brand of cereal, and the z value was negative. This negative z value indicates that
A) we made a mistake in our calculations, as z must always be a nonnegative number.
B) the fill weight is more than 910 grams.
C) the fill weight is less than 910 grams.
D) the fill weight is equal to 910 grams.
E) the fill weight may be more or less than 910 grams depending on the value of the standard deviation.

Question

Quizplus · Accepted Answer

Since 910 is the mean and that mean is then 0 on the standard normal distribution, a negative number would account for those fill weights that are less than the mean.

The Fill Weight of a Certain Brand of Adult Cereal