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

The value x of the weight of cereal is below the mean value.

Step-by-step explanation:

z-score value shows how far in standard deviation term is a value lets say x lies from its mean

Given that the mean is 910 grams  and standard deviation is 5 grams then;

The formula for calculating z-score is ;

z=(x-μ)/δ where z is the z-score, x is the value /outcome of numeric random variable, μ is the mean and δ  is the standard deviation

Given μ=910 and δ =5 assume the z-score value =-y then it means the x value for the weight lies y standard deviations below the mean of 910

a. she will receive a refund of $278.

step-by-step explanation: