With application examples discuss the different properties of relations. Describe in your own words, your understanding of “zero one matrices” and “directed graphs”. Please include examples of their usage.Using examples in your words please describe the principle of inclusion and exclusion and its connection to Venn Diagrams.What sort of relation is friendship, using the human or sociological meaning of the word? Is it necessarily reflexive, symmetric, antisymmetric, or transitive? Explain why or why not. Can the friendship relation among a finite group of people induce a partial order, such as a set inclusion? Explain why or why not.

With application examples discuss the different properties of relations. Describe in your own words, your understanding of “zero one matrices” and “directed graphs”. Please include examples of their usage.Using examples in your words please describe the principle of inclusion and exclusion and its connection to Venn Diagrams.What sort of relation is friendship, using the human or sociological meaning of the word? Is it necessarily reflexive, symmetric, antisymmetric, or transitive? Explain why or why not. Can the friendship relation among a finite group of people induce a partial order, such as a set inclusion? Explain why or why not.

You are a police officer with 2 years in the department. It is nearing lunchtime and you are very hungry. You are about to go on lunch break and you are meeting 3 other police officers – 2 of them are from other nearby towns that you attended the academy with. As you pull into the very popular restaurant’s parking lot, your favorite place to eat, you observe a car parked in the handicapped zone. The vehicle does not have a handicapped placard displayed in the windshield nor does it have handicapped license plates displayed. This has always been a pet peeve of yours as you have a handicapped child in your family. You can decide to make sure that this violator receives a parking ticket. Your friends also pull into the parking lot at the same time. As you are writing out the ticket, you advise the other offices that you need to write this ticket first and you will meet them inside the restaurant when you are done. You write out the $200 ticket and place it on the windshield, muttering to yourself, “ I hope that parking spot was close enough for you. You enter the restaurant and have lunch with your good friends. All is going well and it comes time for the bill to be delivered. The manager, Mr. Rogers, comes over and says that he’ll cover the bill and that you guys are wonderful, hardworking officers and the meal is a token of his appreciation. Mr. Rogers does this quite often and the officers love the great food and free meals. The department has a “ no gratuities” policy on record, but it is not really an enforced policy, or rule, and everyone in the department seems to take advantage of the kindness of the community. However, your supervisors do not want to her about any abuse of this policy. Mr. Rogers also mentions that he needs some help, for some unknown reason, he just got this ticket and wonders if it was one of them? Mr. Rogers then presents the ticket that you just wrote out before lunch. Mr. Rogers is a very respected man in the community and a very good friend of the Mayor. He is also the President of the County Rotary Club and the local Chamber of Commerce. Explain step-by-step each move you are going to take. Be thorough, and take into account the possibility that things may not go your way. Identify any, and all, obstacle you may encounter. What are the normal issues here? How might your actions affect your future relations with…..? – Fellow officers – Administration – Community Select a choice from the following: o You advise Mr. Rogers that you do not know who wrote the ticket, but that it is likely on of those pesky civilian parking enforcement officers, you also ask, “ Can you please bring more coffee to us?” o You advise Mr. Rogers that you are in the middle of a conversation, and that you need to finish the story you’re telling and you will be right over to speak with him. o You advise Mr. Rogers that you were the one that wrote the ticket, and that you would talk with him privately in a few minutes.

You are a police officer with 2 years in the department. It is nearing lunchtime and you are very hungry. You are about to go on lunch break and you are meeting 3 other police officers – 2 of them are from other nearby towns that you attended the academy with.

As you pull into the very popular restaurant’s parking lot, your favorite place to eat, you observe a car parked in the handicapped zone. The vehicle does not have a handicapped placard displayed in the windshield nor does it have handicapped license plates displayed. This has always been a pet peeve of yours as you have a handicapped child in your family. You can decide to make sure that this violator receives a parking ticket.

Your friends also pull into the parking lot at the same time. As you are writing out the ticket, you advise the other offices that you need to write this ticket first and you will meet them inside the restaurant when you are done. You write out the $200 ticket and place it on the windshield, muttering to yourself, “ I hope that parking spot was close enough for you.

You enter the restaurant and have lunch with your good friends. All is going well and it comes time for the bill to be delivered. The manager, Mr. Rogers, comes over and says that he’ll cover the bill and that you guys are wonderful, hardworking officers and the meal is a token of his appreciation. Mr. Rogers does this quite often and the officers love the great food and free meals.

The department has a “ no gratuities” policy on record, but it is not really an enforced policy, or rule, and everyone in the department seems to take advantage of the kindness of the community. However, your supervisors do not want to her about any abuse of this policy.

Mr. Rogers also mentions that he needs some help, for some unknown reason, he just got this ticket and wonders if it was one of them? Mr. Rogers then presents the ticket that you just wrote out before lunch.

Mr. Rogers is a very respected man in the community and a very good friend of the Mayor. He is also the President of the County Rotary Club and the local Chamber of Commerce.

Explain step-by-step each move you are going to take.

Be thorough, and take into account the possibility that things may not go your way.

Identify any, and all, obstacle you may encounter.

What are the normal issues here?

How might your actions affect your future relations with…..?
– Fellow officers
– Administration
– Community

Select a choice from the following:

o You advise Mr. Rogers that you do not know who wrote the ticket, but that it is likely on of those pesky civilian parking enforcement officers, you also ask, “ Can you please bring more coffee to us?”

o You advise Mr. Rogers that you are in the middle of a conversation, and that you need to finish the story you’re telling and you will be right over to speak with him.

o You advise Mr. Rogers that you were the one that wrote the ticket, and that you would talk with him privately in a few minutes.

For this unit Interview Analysis you will conduct two interviews with practicing professionals in the field of law enforcement. These individuals may occupy positions in federal, state, county, or municipal police agencies, probation, parole, or prosecutors’ offices. It is preferable that you conduct the interviews in person, but telephone interviews will be acceptable if in-person interviews cannot be arranged. Focus on the following questions in your interviews: 1. Why are ethics and character so important in the field of law enforcement? 2. Do the interviewees feel that police are more ethical today, or were they more ethical ten years ago? 3. Why do police officers become involved in misconduct? 4. Do the interviewees feel that there is enough training offered in ethics at the police academy level? If not, why is that? 5. Should ethics training be offered as an on-going process for law enforcement officers? 6. Do the interviewees feel that education and/or training in ethics would reduce incidents of police corruption? Report the results of these interviews in a paper that answers the proposed questions. Apply information that has been read and discussed in class on various ethical issues to your paper, to form a synthesis of practical law enforcement ideologies. Be sure to discuss with the interviewees at least four contemporary ethical issues that they are dealing with as criminal justice practitioners. Finally, offer your own insights on the perspectives of the individuals you interviewed and materials covered in the text readings and Seminar discussions.

For this unit Interview Analysis you will conduct two interviews with practicing professionals in the field of law enforcement. These individuals may occupy positions in federal, state, county, or municipal police agencies, probation, parole, or prosecutors’ offices.
It is preferable that you conduct the interviews in person, but telephone interviews will be acceptable if in-person interviews cannot be arranged.
Focus on the following questions in your interviews:
1. Why are ethics and character so important in the field of law enforcement?
2. Do the interviewees feel that police are more ethical today, or were they more ethical ten years ago?
3. Why do police officers become involved in misconduct?
4. Do the interviewees feel that there is enough training offered in ethics at the police academy level? If not, why is that?
5. Should ethics training be offered as an on-going process for law enforcement officers?
6. Do the interviewees feel that education and/or training in ethics would reduce incidents of police corruption?
Report the results of these interviews in a paper that answers the proposed questions. Apply information that has been read and discussed in class on various ethical issues to your paper, to form a synthesis of practical law enforcement ideologies. Be sure to discuss with the interviewees at least four contemporary ethical issues that they are dealing with as criminal justice practitioners. Finally, offer your own insights on the perspectives of the individuals you interviewed and materials covered in the text readings and Seminar discussions.

If a person spends $10 a week on coffee (assume $500 a year), what would be the future value of that amount over 10 years if he funds were deposited in an account earning 4 percent? Ch. 2 10. Ed Weston recently lost his job. Before unemployment occurred, the Weston household (Ed; wife, Alice; two children, ages 12 and 9) had a monthly take-home income of $3,165. Each month, the money went for the following items; $880 for rent, $180 for utilities, $560 for food, $480 for automobile expenses, $300 for clothing, $280 for insurance, @250 for savings, and $235 for personal and other items. After the loss of Ed’s job, the household’s monthly income is $1,550 from his wife’s wages and his unemployment benefits. The Westons also have savings accounts, investments, and retirement funds of $28,000. a. What budget items might the Westons consider reducing to cope with their financial difficulties? b. How should the Westons use their savings and retirement funds during this financial crisis? What additional sources of funds might be available to them during this period of unemployment? Ch.3 10. Jeff Perez deposits $2,000 each year in a tax-deferred retirement account. If he is in a 27 percent tax bracket, what amount would his tax be reduced over a 20-year time period?

If a person spends $10 a week on coffee (assume $500 a year), what would be the future value of that amount over 10 years if he funds were deposited in an account earning 4 percent? Ch. 2 10. Ed Weston recently lost his job. Before unemployment occurred, the Weston household (Ed; wife, Alice; two children, ages 12 and 9) had a monthly take-home income of $3,165. Each month, the money went for the following items; $880 for rent, $180 for utilities, $560 for food, $480 for automobile expenses, $300 for clothing, $280 for insurance, @250 for savings, and $235 for personal and other items. After the loss of Ed’s job, the household’s monthly income is $1,550 from his wife’s wages and his unemployment benefits. The Westons also have savings accounts, investments, and retirement funds of $28,000. a. What budget items might the Westons consider reducing to cope with their financial difficulties? b. How should the Westons use their savings and retirement funds during this financial crisis? What additional sources of funds might be available to them during this period of unemployment? Ch.3 10. Jeff Perez deposits $2,000 each year in a tax-deferred retirement account. If he is in a 27 percent tax bracket, what amount would his tax be reduced over a 20-year time period?

Select,from your Week One readings, a significant event or aspect that has changed or affected health care today. Examples include, but are not limited to, managed care, capitation, the multiple-payer system, excessive litigation, and so forth. Write a 700- to 1,050-word paper and discuss the following: How does this significant event relate to the changes on health care? In your opinion, has this event impacted the historical evolution of health care? If so, how? If not, could it? Do you personally agree with the event’s significance, based on your beliefs and values? How so? Format your paper consistent with APA guidelines.

Select,from your Week One readings, a significant event or aspect that has changed or affected health care today. Examples include, but are not limited to, managed care, capitation, the multiple-payer system, excessive litigation, and so forth.
Write a 700- to 1,050-word paper and discuss the following:
How does this significant event relate to the changes on health care?
In your opinion, has this event impacted the historical evolution of health care? If so, how? If not, could it?
Do you personally agree with the event’s significance, based on your beliefs and values? How so?
Format your paper consistent with APA guidelines.

Perform research (minimum of 2 sources in APA format). Identify the hard and soft technology used for both the domestic and global environments. This is not about computers or software; see lesson plan for details and remember to incorporate critical thinking (see resources). Identify the technology barriers to the company in both environments. Discuss how the company can overcome these. Evaluate the strategy used and how the company will protect their technology. Page requirement: 3 pages in APA format.

Perform research (minimum of 2 sources in APA format). Identify the hard and soft technology used for both the domestic and global environments. This is not about computers or software; see lesson plan for details and remember to incorporate critical thinking (see resources). Identify the technology barriers to the company in both environments. Discuss how the company can overcome these. Evaluate the strategy used and how the company will protect their technology. Page requirement: 3 pages in APA format.

iscusses the evolving ideas of western civilization and the questions one should ask when studying it. Reflect on these ideas and how one should analyze the materials of the course. 4. Discuss the changes in culture related to the development of agriculture. Provide specific examples.

What role did each of the following play in the life of Athens: male citizens, women, and slaves? 3. “What is the West?” discusses the evolving ideas of western civilization and the questions one should ask when studying it. Reflect on these ideas and how one should analyze the materials of the course. 4. Discuss the changes in culture related to the development of agriculture. Provide specific examples.

You are hired as a statistical analyst for Silver’s Gym, and your boss wants to examine the relationship between body fat and weight in men who attend the gym. After compiling the data for weight and body fat of 252 men who attend Silver’s Gym, you find it relevant to examine the statistical measures and to perform hypothesis tests and regression analysis to help make general conclusions for body fat and weight in men. Part I: Statistical Measures Statistics is a very powerful topic that is used on a daily basis in many situations. For example, you may be interested in the age of the men who attend Silver’s Gym. You could not assume that all men are the same age. Thus, it would be an inaccurate measure to state that “the average age of men who attend Silver’s Gym is the same age as me.” Averages are only one type of statistical measurements that may be of interest. For example, your company likes to gauge sales during a certain time of year and to keep costs low to a point that the business is making money. These various statistical measurements are important in the world of statistics because they help you make general conclusions about a given population or sample. To assist in your analysis for Silver’s Gym, answer the following questions about the Body Fat Versus Weight data set: Click here to download the Body Fat Weight data set. Calculate the mean, median, range, and standard deviation for the Body Fat Versus Weight data set. Report your findings, and interpret the meanings of each measurement. Notice you are to calculate the mean, median, range, and standard deviation for the body fat and for the weight. The measures of central tendency are important in real-world situations. What is the importance of finding the mean/median? Why might you find this information useful? In some data sets, the mean is more important than the median. For example, you want to know your mean overall grade average because the median grade average would be meaningless. However, you might be interested in a median salary to see the middle value of where salaries fall. Explain which measure, the mean or the median, is more applicable for this data set and this problem. What is the importance of finding the range/standard deviation? Why might you find this information useful? Part II: Hypothesis Testing Organizations sometimes want to go beyond describing the data and actually perform some type of inference on the data. Hypothesis testing is a statistical technique that is used to help make inferences about a population parameter. Hypothesis testing allows you to test whether a claim about a parameter is accurate or not. Your boss makes the claim that the average body fat in men attending Silver’s Gym is 20%. You believe that the average body fat for men attending Silver’s Gym is not 20%. For claims such as this, you can set up a hypothesis test to reach one of two possible conclusions: either a decision cannot be made to disprove the body fat average of 20%, or there is enough evidence to say that the body fat average claim is inaccurate. To assist in your analysis for Silver’s Gym, consider the following steps based on your boss’s claim that the mean body fat in men attending Silver’s Gym is 20%: I will upload the Data Set First, construct the null and alternative hypothesis test based on the claim by your boss. Using an alpha level of 0.05, perform a hypothesis test, and report your findings. Be sure to discuss which test you will be using and the reason for selection. Recall you found the body fat mean and standard deviation in Part I of the task. Based on your results, interpret the final decision to report to your boss.

You are hired as a statistical analyst for Silver’s Gym, and your boss wants to examine the relationship between body fat and weight in men who attend the gym. After compiling the data for weight and body fat of 252 men who attend Silver’s Gym, you find it relevant to examine the statistical measures and to perform hypothesis tests and regression analysis to help make general conclusions for body fat and weight in men. Part I: Statistical Measures Statistics is a very powerful topic that is used on a daily basis in many situations. For example, you may be interested in the age of the men who attend Silver’s Gym. You could not assume that all men are the same age. Thus, it would be an inaccurate measure to state that “the average age of men who attend Silver’s Gym is the same age as me.” Averages are only one type of statistical measurements that may be of interest. For example, your company likes to gauge sales during a certain time of year and to keep costs low to a point that the business is making money. These various statistical measurements are important in the world of statistics because they help you make general conclusions about a given population or sample. To assist in your analysis for Silver’s Gym, answer the following questions about the Body Fat Versus Weight data set: Click here to download the Body Fat Weight data set. Calculate the mean, median, range, and standard deviation for the Body Fat Versus Weight data set. Report your findings, and interpret the meanings of each measurement. Notice you are to calculate the mean, median, range, and standard deviation for the body fat and for the weight. The measures of central tendency are important in real-world situations. What is the importance of finding the mean/median? Why might you find this information useful? In some data sets, the mean is more important than the median. For example, you want to know your mean overall grade average because the median grade average would be meaningless. However, you might be interested in a median salary to see the middle value of where salaries fall. Explain which measure, the mean or the median, is more applicable for this data set and this problem. What is the importance of finding the range/standard deviation? Why might you find this information useful? Part II: Hypothesis Testing Organizations sometimes want to go beyond describing the data and actually perform some type of inference on the data. Hypothesis testing is a statistical technique that is used to help make inferences about a population parameter. Hypothesis testing allows you to test whether a claim about a parameter is accurate or not. Your boss makes the claim that the average body fat in men attending Silver’s Gym is 20%. You believe that the average body fat for men attending Silver’s Gym is not 20%. For claims such as this, you can set up a hypothesis test to reach one of two possible conclusions: either a decision cannot be made to disprove the body fat average of 20%, or there is enough evidence to say that the body fat average claim is inaccurate. To assist in your analysis for Silver’s Gym, consider the following steps based on your boss’s claim that the mean body fat in men attending Silver’s Gym is 20%: I will upload the Data Set First, construct the null and alternative hypothesis test based on the claim by your boss. Using an alpha level of 0.05, perform a hypothesis test, and report your findings. Be sure to discuss which test you will be using and the reason for selection. Recall you found the body fat mean and standard deviation in Part I of the task. Based on your results, interpret the final decision to report to your boss.