A Major Customer for a Vendor of Plastic Containers Requires $( \hat { \sigma } )$

question 20

Multiple Choice

A major customer for a vendor of plastic containers requires that its containers
Have a volume of 10,000 cubic inches with a tolerance of 50 cubic inches. To ensure that
Its process is under control and meeting its major customer's specifications, the vendor
Uses control charting. Forty subgroups of five containers each were selected periodically
From the production process. The average of the means across all subgroups was found
To be 10,012 cubic inches and the average range was 48 cubic inches. The estimated
Process standard deviation ( $( \hat { \sigma } )$
) is

• A) 48 cubic inches
• B) 22.69 cubic inches
• C) 20.64 cubic inches
• D) 50 inches
• E) 32.99 cubic inches

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Definitions:

Negation

A logical operation that reverses the truth value of a proposition.

Disjunction

A logical operation expressing the condition of having at least one of two statements be true; represented by "or."

Disjunctions

Logical operations that result in truth if at least one of the operands is true.

Conditionals

Statements that express a hypothesis and its conclusion, commonly structured in "if...then..." format.