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In Testing the Hypotheses
H0: μ = 60
HA: μ Xˉ\bar { X }

question 106

Essay

In testing the hypotheses
H0: μ = 60
HA: μ < 60
the following information was given: = 5, n = 100, Xˉ\bar { X } = 59, α = 0.05.
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.

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Definitions:

Average Variable Cost

The per unit cost of production that varies with the level of output, including costs such as labor and materials.

Diminishing Returns

A principle stating that if one factor of production is increased while others are held constant, the overall returns will eventually decrease after a certain point.

Variable Cost

Costs that vary directly with the level of production or output, such as materials and labor used in the production process.

Output

The total amount of goods and services produced by an economy, company, or machine over a specified period.

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