Answer:
- National Government: Every nation needs an authorised administration, which would serve the people of the nation. The role of the National Government is to ensure protection, to give proper education, to protect civil rights and to offer all the necessary commodities (including foods, clothes, materials, etc.) nationwide. National Government works on foreign policies to bring various economical or scientific services to its people.
• Provincial Government: A Provincial Government has administrative power over a province within the nation, under the structural institution of National Government. It works to serve the civil society with education, health and social development. It also takes care of agriculture and roads. Moreover Provincial Government connects National Government with Local Government constitutionally
- Local Government: A local government is the lowest part of governance. It is a form of public administration locally. The power to local government is delegated to them by provincial legislature.
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Because they need the money for other necessities such as paying rent, insurance, living expenses, transportation, and even paying for college and books for college. and it’s likely they are making minimum wage if they have a job so it is hard to keep up and pay that much per month
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed <em>95% confidence interval</em>, with 49 - 1 = <em>48 df</em>, is t = 2.0106.
Hence:
![\overline{x} - t\frac{s}{\sqrt{n}} = 12.2 - 2.0106\frac{1.6}{\sqrt{49}} = 11.7](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2012.2%20-%202.0106%5Cfrac%7B1.6%7D%7B%5Csqrt%7B49%7D%7D%20%3D%2011.7)
![\overline{x} + t\frac{s}{\sqrt{n}} = 12.2 + 2.0106\frac{1.6}{\sqrt{49}} = 12.7](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2012.2%20%2B%202.0106%5Cfrac%7B1.6%7D%7B%5Csqrt%7B49%7D%7D%20%3D%2012.7)
The 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).
More can be learned about the t-distribution at brainly.com/question/16162795