Romi, a Production Manager, Is Trying to Improve the Efficiency

question 24

Multiple Choice

Romi, a production manager, is trying to improve the efficiency of his assembly line. He knows that the machine is set up correctly only 70% of the time. He also knows that if the machine is set up correctly, it will produce good parts 95% of the time, but if set up incorrectly, it will produce good parts only 40% of the time. Romi starts the machine and produces one part before he begins the production run. He finds the first part to be good. What is the revised probability that the machine was set up correctly?

• A) 12%
• B) 33.5%
• C) 66.5%
• D) 84.7%

---

Definitions:

Individual Scores

The specific values or results obtained by individuals in a test or assessment, reflecting their performance or achievement.

T-statistic

A ratio that is derived from the standardized difference between two sample means divided by the standard error of the difference, used in hypothesis testing.

Sample Mean

The average value computed from a sample set of data, representative of the population mean.

Hypothesized Population Mean

This is an assumed average of a particular characteristic in a population, used as a standard for hypothesis testing in statistical analysis.