A Production Manager Is Interested in Comparing the Precision of Two

question 81

Essay

A production manager is interested in comparing the precision of two brands of stamping machines.From a random sample of 12 units of output from the Brand A machine,a standard deviation of 15.2 is reported for a quality characteristic.For the Brand B machine,in a sample of 20 units of output,there is a standard deviation of 10.1.Is there sufficient evidence at the 5% significance level to conclude that Brand B machines have a lower variance in quality? Assume that the quality characteristic of both machines follows a normal distribution.

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Definitions:

Iroquois Confederacy

A historical confederation of six Native American tribes in the Northeastern United States, known for their influential political and organizational systems.

Imperial Ambitions

The desire or intention of a state to acquire and maintain an empire, characterized by domination and control over foreign territories and peoples.

English Rule

Refers to the period of governance over territories and colonies by the English monarchy and later the British government, prior to achieving independence or transitioning to local self-rule.

Navigation Act

Laws passed by the British government in the 17th and 18th centuries regulating trade and commerce in the British Empire, aimed at promoting British shipping and controlling colonial trade.