The Department of Weights and Measures in a Southern State

question 50

Essay

The Department of Weights and Measures in a southern state has the responsibility for making sure that all commercial weighing and measuring devices are working properly.For example,when a gasoline pump indicates that 1 gallon has been pumped,it is expected that 1 gallon of gasoline will actually have been pumped.The problem is that there is variation in the filling process.The state's standards call for the mean amount of gasoline to be 1.0 gallon with a standard deviation not to exceed 0.010 gallons.Recently,the department came to a gasoline station and filled 10 cans until the pump read 1.0 gallon.It then measured precisely the amount of gasoline in each can.The following data were recorded: Based on these data what should the Department of Weights and Measures conclude if it wishes to test whether the standard deviation exceeds 0.010 gallons or not,using a 0.05 level of significance?

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Definitions:

Rules and Regulations

Established guidelines and enforced directives that govern behavior or operations within organizations or societies.

Distress

The adverse psychological, physical, behavioral, and organizational consequences that may arise as a result of stressful events.

Negative Response

A reaction that is adverse or unfavorable to a situation or stimulus.

Inequity

A situation in which a person perceives that he or she is receiving less than he or she is giving or is giving less than he or she is receiving.