A Lumber Mill Is Tested for Consistency by Measuring the Variance

question 113

Multiple Choice

A lumber mill is tested for consistency by measuring the variance of board thickness. The target accuracy is a variance of $0.0035$ square inches or less. If 28 measurements are made and their variance is $0.006$ square inches, is there enough evidence to reject the claim that the standard deviation is within the limit at $\alpha = 0.01$ ?

• A) Yes, since the \(\chi ^ { 2 }\) test value \(8.91\) is less than the critical value 48.278.
• B) Yes, since the \(\chi ^ { 2 }\) test value \(8.91\) is less than the critical value 46.963.
• C) No, since the \(\chi ^ { 2 }\) test value \(46.29\) is less than the critical value \(46.963\).
• D) No, since the \(\chi ^ { 2 }\) test value \(46.29\) is less than the critical value \(48.278\).

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Definitions:

Archaic Period

The era in Greek history (approximately 700-480 BCE) known for its advancements in art, poetry, and politics, preceding the classical period.

Ionic Frieze

An Ionic frieze is a continuous horizontal band of sculptured or painted decoration found on the entablature of buildings in the Ionic order of classical architecture.

Parthenon

A former temple on the Athenian Acropolis, Greece, dedicated to the goddess Athena, exemplifying classical Greek architecture and art.

Panathenaic Procession

An ancient Athenian festival celebrating the birthday of the goddess Athena, featuring a grand procession to the Acropolis.