The Weight of a Product Is Normally Distributed with a Standard

question 18

Multiple Choice

The weight of a product is normally distributed with a standard deviation of .5 ounces. What should the average weight be if the production manager wants no more than 5 percent of the products to weigh more than 5.1 ounces?

• A) 4.278
• B) 4.409
• C) 3.455
• D) 5.922

---

Definitions:

Smallest Variance

The smallest degree of spread or dispersion of observations around the mean in a dataset, indicating less variability.

Relatively Efficient

Refers to a process or system that achieves its goals with comparatively minimal waste of time, resources, or energy.

Larger Sample

Refers to increasing the number of observations in a sample to reduce random sampling error and make the sample statistics more representative of the population.

Sample Variance

A measure of the dispersion or spread in a set of sample data, calculated by averaging the squared deviations from the sample mean.