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Answer :
Final Answer:
a. The 99% confidence interval for the true weight of newborn African elephants born in captivity is between 178.36 pounds and 183.64 pounds.
b. The margin of error for the interval is 2.64 pounds.
Explanation:
Government land use controls play a crucial role in shaping the development and organization of urban and rural spaces. A city or country's master plan, which outlines the framework for land use, zoning regulations, and development guidelines, falls under the category of these controls.
The authority for implementing such plans is primarily derived from the government's police power. Police power refers to the government's inherent authority to regulate and control certain aspects of public life to ensure the health, safety, and welfare of its citizens.
In the context of the given question, the sample of weights of newborn African elephants is analogous to the data that urban planners use to create a master plan. The mean weight (181 pounds) serves as a central value, similar to the master plan outlining the framework. The standard deviation (5.9 pounds) represents the variability or the extent to which individual weights deviate from the mean.
a. The 99% confidence interval is calculated by considering the t-distribution, given the sample size (24). The interval, between 178.36 pounds and 183.64 pounds, signifies that we are 99% confident that the true weight of newborn African elephants born in captivity lies within this range.
b. The margin of error, calculated as half the width of the interval, is 2.64 pounds. This value provides an understanding of the precision of our estimate. In other words, it indicates the potential variability in our calculated interval and emphasizes the level of confidence we can place in our estimation.
Understanding confidence intervals and margins of error is essential in statistical analysis, enabling researchers to communicate the reliability and precision of their findings.
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