Detail, with very specific examples of each item, the meaning of the following concepts related to statistical data gathering: Be sure that the concept is first defined, IN YOUR OWN WORDS, and that you use a concrete example to illustrate your understanding of the statistical concept: variable; latent variables; manifest variables; operational hypothesis; constants; independent variable; dependent variable; status variable; validity; reliability; epistemic relationship; data collection; unit of analysis; population; sample; representativeness; random sample; discrete variable; dichotomus variable; continuous variable; discriptive statistics; inferential statistics; inference; statistical significance; measures of association.

Consider a particle of mass m confined to a one-dimensional box of length L and in a state with normalized wavefunction. For a partide in a box the energy is given by

E_n = n²h²/8mL² and, because the potential energy is zero, all of this energy is kinetic. Use this observation and, without evaluating any integrals, explain why < p_x²>= n²h²/4L²

1. Income per capita is one of several measures of economic development that has been reported over the years.  Answer the following questions about income per capita and the evolution of measuring economic development.

1. If the average annual income per capita in Niger is 210,000 West African Francs and the exchange rate is 600 West African Francs per $1, then what is the annual income per capita in Niger in US dollars? Based on this calculation, is the average person living above or below the absolute poverty line in Niger? Explain your answer.
2. Define Purchasing Power Parity (PPP) in your own words.  If the PPP exchange rate in Niger is 210 West African Francs per $1, then what is the annual income per capita in Niger in US dollars?  Comparing this to your calculations from part A, are the people in Niger doing better or worse than you originally thought?
3. How did Amartya Sen revolutionize the measurement of economic development?  What are the three core values of economic development that we focus on today?

2. We discussed in detail the differences between the demographics of the population and population growth in developing countries compared to those that have already developed. Please answer the following questions with regard to population differences between developed and developing nations.

1. Describe what is meant by the dependency burden.  Compare the dependency burden in developing nations to that of developed ones and describe why the dependency burden is worse for developing countries
2. Developed countries have stricter immigration laws now compared to when they were first developing over 200 years ago.  Name at least one way in which this positively and negatively influences the growth of developing nations
3. Briefly define Population-Weighted Relative Convergence.  Is convergence happening according to this measure?

Research the health-illness continuum and its relevance to patient care. In a 750-1,000 word paper, discuss the relevance of the continuum to patient care and present a perspective of your current state of health in relation to the wellness spectrum. Include the following:

1. Examine the health-illness continuum and discuss why this perspective is important to consider in relation to health and the human experience when caring for patients.
2. Explain how understanding the health-illness continuum enables you, as a health care provider, to better promote the value and dignity of individuals or groups and to serve others in ways that promote human flourishing.
3. Reflect on your overall state of health. Discuss what behaviors support or detract from your health and well-being. Explain where you currently fall on the health-illness continuum.
4. Discuss the options and resources available to you to help you move toward wellness on the health-illness spectrum. Describe how these would assist in moving you toward wellness (managing a chronic disease, recovering from an illness, self-actualization, etc

please answer all the questions seperately.. please include references

Imagine Penn State were to hold summer events for High school students. Should it include freshman and sophomores? Or be open to all high school students & their families titled "College 101." What should Penn State do? What do families and students need to know at that point in their highschool to start considering? Who should they listen to? What do you wish you would have known then to help set you up for success? Would a panel discussion be helpful? If so, what panels? College admissions essay reviewers? College students? What should they see? Is there anything they should know about why you chose Penn State? Since it's high school and most of the students would be local, what are some selling points?

Consider our graphical analysis of the bound states in a finite square well of depth V₀ and width a. Determine

a) The condition on V₀ and a that there is at most one bound state in the problem.

b) The condition on V₀ and a that there is at most four bound states in the problem.

c) Suppose the potential parameters are such that the third bound state is just barely bound. What can you say about the binding energy of the first and second bound states?

Listed below are student evaluation ratings of​ courses, where a rating of 5 is for​ "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 95​% confidence level. What does the confidence interval tell about the population of all college students in the​ state? 4.0​, 3.0​, 4.0​, 4.8​, 3.1​, 4.5​, 3.3​, 4.9​, 4.5​, 4.4​, 4.3​, 3.8​, 3.4​, 4.0​, 3.9

The data below represents the weight loss (in pounds) for people on three different exercise programs. At the 0.01 significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs.

a) State the null and alternative hypotheses.

b) Find the P-value. STATE THE CALCULATOR COMMAND YOU USE.

c) State whether you should reject or fail to reject the null hypothesis. Justify your answer.

d) State your conclusion in non-technical terms. Which exercise program appears to be the least effective based on the sample data?

Reflect on a time from your childhood when direct definitions, identity scripts, or attachment styles left a big impact on your self-identity. How did the experience shape your perception of who you were at the time? Have those same self-perceptions become a major part of how you think about yourself now or have other experiences reshaped your identity to its current state? How does social comparison theory play out in your professional and personal life? Which type of comparison do you find yourself making most often (similarity/difference, upward, downward)? What impact does social media have on social comparison?