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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

User Gonutz
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Answer:

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

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

User Arnaudjnn
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