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A hydraulic press is operating correctly when the standard deviation of the pressure is less than 120 pounds-per-square-inch (psi) .Suppose you take a random sample of 15 measurements throughout the day of the psi and find the standard deviation to be 148.Suppose you want to test whether the press is operating correctly.
-Assume the following null and alternative hypotheses: H0 : μ = μ0 and H1 : μ > μ0.In addition,you know σ.Take a random sample of n observations and choose some value α.What is the decision rule for this test?


Definitions:

Industrial Output

The total volume of products and services produced by an industry, often used as an indicator of industrial activity and economic health.

Internal Combustion

A process where fuel is burned within an engine, producing power through the expansion of gases.

Carburetor

A device in an internal combustion engine that mixes air with a fine spray of liquid fuel.

Compulsory Education

The requirement by law for children to attend school up to a certain age to ensure they receive a basic education.

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