Question

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 exceeds 910 grams.
C. The fill weight is less than 910 grams.
D. The fill weight is equal to 910 grams

Answer 1

C. The fill weight is less than 910 grams.

Explanation:

To normalize a given stadistical we do:

`(X - \mu )/(\sigma) \\Where:\\X = $ the weight of the cereal box\\\mu = $ the mean of 910 grams\\\sigma = $ the standard deviation`

To be negative then, X should be lower than the mean.

Therefore, is the nevatige value of Z represent the value is below the mean therefore, below 910 gram