Consumer Products Are Required by Law to Contain at Least

question 11

Essay

Consumer products are required by law to contain at least as much as the amount printed on the package. For example a bag of potato chips that is labeled as 10 ounces should contain at least 10 ounces. Assume that the standard deviation of the packaging equipment yields a bag weight standard deviation of 0.2 ounces. Explain what average bag weight must be used to achieve at least 97.5 percent of the bags having 10 or more ounces in the bag. Assume the bag weight distribution is bell-shaped.

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Definitions:

Standard Normal Distribution

A probability distribution that has a mean of 0 and a standard deviation of 1.

Greater Than

A mathematical expression indicating that one quantity is larger than another.

Z-scores

Standardized scores that measure how many standard deviations a data point is from the mean, used for comparison across different data sets or variables.

Standard Normal Distribution

A normal distribution with a mean of 0 and a standard deviation of 1.