Answer:
1.One proportion
2. Proportions from Dependent Samples
3. Two Independent Proportions
4. One Mean
5. Means from Dependent Samples
6. Two Independent Means
Step-by-step explanation:
What proportion of Americans believe in climate change? - One proportion
From the above information, there is only one sample and the question is about proportion. So, we must use "One proportion".
Do college students change their view on climate change as they go through college? One hundred freshman are asked if they believe in climate change. The same students are asked four years later if they also believe in climate change. - Proportions from Dependent Samples
From the information given, there are two samples and samples are dependent ( that is same students are asked four years later). Furthermore, the question is about proportion, we must use " Proportions from dependent samples ".
Is there a difference in the proportion of men and women who believe in climate change? - Two Independent Proportions
From the information given, there are two independent samples and they are asking about proportion, we must use "Two independent proportions".
What is the average amount of time that Americans spend watching or reading the news a day? - One Mean
From the information, there is only one sample and they are asking about mean. Therefore, we must use ". One mean".
Is there a difference in the amount of time that college students spend reading or watching the news as they go through college? One hundred students were asked as freshmen and as senior how many minutes a day they spent reading or watching the news? - Means from Dependent Samples
There are two samples and samples are dependent ( the same students are asked four years later). Also, they are asking about mean, we must use "Means from dependent samples ".
Is there is a difference in the amount of time that Republicans and Democrats spend watching or reading the news? - Two Independent Means
From the information given, there are two independent samples and they are asking about mean, we must use "Two independent means".
![p= \frac{RT}{vm} + \frac{a+bT}{vm^{2}} \\or\\v= \frac{1}{p}[ \frac{R}{m} + \frac{a+bT}{m^{2}}]](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7BRT%7D%7Bvm%7D%20%2B%20%5Cfrac%7Ba%2BbT%7D%7Bvm%5E%7B2%7D%7D%20%5C%5Cor%5C%5Cv%3D%20%5Cfrac%7B1%7D%7Bp%7D%5B%20%5Cfrac%7BR%7D%7Bm%7D%20%20%2B%20%5Cfrac%7Ba%2BbT%7D%7Bm%5E%7B2%7D%7D%5D%20)
![\frac{\partial v}{\partial T} |_{p}= \frac{1}{p}[ \frac{R}{m}+ \frac{b}{m^{2}}]](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Cpartial%20v%7D%7B%5Cpartial%20T%7D%20%7C_%7Bp%7D%3D%20%5Cfrac%7B1%7D%7Bp%7D%5B%20%5Cfrac%7BR%7D%7Bm%7D%2B%20%5Cfrac%7Bb%7D%7Bm%5E%7B2%7D%7D%5D%20%20%20)