The Department of Weights and Measures in a Southern State

question 32

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:

Peripheral Countries

Nations that are less economically developed with lower standards of living, often exploited and dominated by more developed countries in the global economy.

Outsourcing

Transferring a specialized task or job from one organization to a different organization, usually in another country, as a cost-saving device.

Global Stratification

The unequal distribution of resources, wealth, and power across countries and regions around the world, leading to a hierarchy of nations.

International Division

Refers to the segmentation of labor, production, and industries globally, often dictated by factors such as economic status, technological advancement, and resource distribution.