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An Engineer Wants to Know If the Average Amount of Energy

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An engineer wants to know if the average amount of energy used in his factory per day has changed since last year. The factory used an average of 2,000 megawatt hours (mwh) per day prior to last year. Since last year, the engineer surveyed 400 days and found the average energy use was 2,040 mwh per day. Assume that the population standard deviation is 425 mwh per day.
A) Specify the null and alternative hypotheses to determine whether the factory's energy use has changed.
B) Calculate the value of the test statistic and the p-value.
C) At the 5% significance level, can you conclude that the energy usage has changed? Explain.


Definitions:

Predetermined Tools

Tools or equipment selected prior to their application or implementation in a process or project.

Repetitive

Characterized by or involving repetition, especially in actions, events, or processes, leading to a lack of variety.

Motivational Factors

Elements or conditions that drive individuals to put forth effort towards achieving goals and performing tasks.

Job Enrichment

A method of motivating employees by adding variety, autonomy, and increased responsibility to their roles to enhance job satisfaction and performance.

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