In a bottle-filling process, the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of. 02 oz. Bottles containing less than 15.95 oz do not meet the bottler's quality standard. What percentage of filled bottles do not meet the standard?

Question

Mathematics

Macie Gillespie

13 July, 07:12

In a bottle-filling process, the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of. 02 oz. Bottles containing less than 15.95 oz do not meet the bottler's quality standard. What percentage of filled bottles do not meet the standard?

+1

Answers (1)

Know the Answer?

Jada Faulkner · Answer 1

0.62

Step-by-step explanation:

We know that the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of. 02 oz. The z-score associated to 15.95 is (15.95-16) /.02 = - 2.5. Bottles containing less than 15.95 oz do not meet the bottles' quality standard, we compute the percentage of filled bottles that do not meet the standard using the z-score - 2.5 and P (Z < - 2.5) = 0.0062. Therefore, the percentage of filled bottles that do not meet the standard is 100 (0.0062) = 0.62