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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.
Means-Tested
A determination to ascertain whether an individual or family is eligible for government assistance based on their income or resources.
Monetary Benefits
The financial gains received by individuals or organizations, often from employment, investments, or governmental policies.
Public Aid Programs
Government initiatives designed to provide financial assistance, healthcare, food support, and housing to individuals or families in need.
Means-Tested
Programs or benefits that are only available to individuals or families who fall below a certain income threshold.
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