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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 2005.The factory used an average of 2,000 megawatt hours (mwh)per day prior to 2005.Since 2005,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:

Helm's Model

A theoretical framework outlining the process of developing a positive racial identity, specifically within the context of counseling and psychology.

Autonomy Status

The level of independence and self-determination a person has, often related to the ability to make personal decisions without external influence.

Racism

The systematic subordination of members of targeted racial groups who have relatively little social power by members of the agent racial group who have relatively more social power.

Categorical Thinking

The cognitive process of organizing and classifying information into categories for easier understanding and communication.

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