SCENARIO 15-4
a Factory Supervisor Is Concerned That the Time

question 12

Multiple Choice

SCENARIO 15-4
A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits.The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours.The sample mean and range for each hour are listed below.
$$\begin{array} { cc c } \underline { \text { Hour } } & \underline { X } & \underline { R } \\1 & 18.4 & 25 \\2 & 16.9 & 27 \\3& 23.0 & 30 \\4 & 21.2 & 23 \\5 & 21.0 & 24 \\6 & 24.0 & 25 \\7&19.3&12\\8 & 15.8 & 14 \\9 & 20.0 & 13 \\10 & 23.0 & 11\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be
10 and 30 seconds, respectively.
-Referring to SCENARIO 15-4, suppose the supervisor constructs an R chart to see if the variability in collection times is in-control.What is the center line of this R chart?

• A)20.00
• B)20.56
• C)20.40
• D)24.00

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Definitions:

GDP Deflator

A measure of the level of prices of all new, domestically produced, final goods and services in an economy.

Bureau of Labor Statistics

A federal agency in the United States dedicated to gathering and examining data on job market trends, conditions of employment, and variations in pricing.

Consumer's Budget

The total amount of income or resources available for an individual or household to allocate across various goods and services.

Indexed for Inflation

Adjusted for changes in the purchasing power of money, ensuring values remain consistent over time.