I need some assistance with the below assignment: MAT-240 Applied Statistics In this module discussion, you will take on the role of Susan, a high school principal. She is planning on having a large movie night for the high school. She has received a lot of feedback on which movie to show and sees differences in movie preferences by gender and also by grade level. She knows if the wrong movie is shown, it could reduce event turnout by 50%. She would like to maximize the number of students who attend and would like to select a PG-rated movie based on the overall student population’s movie preferences. Each student is assigned a classroom with other students in their grade. She has a spreadsheet that lists the names of each student, their classroom, and their grade. Susan knows a simple random sample would provide a good representation of the population of students at their high school, but wonders if a different method would be better. You can review the student demographics at attachment: Describe an example of a sample of this student population that would not represent the population well. Describe another example of a sample that would represent the population well. Finally, describe the relationship of a sample to a population and classify your two samples as random, cluster, stratified, or convenience.

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Option #1: Fencing a Farmer’s FieldAs a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 2000 feet of fencing. Remember that a square maximizes area, so use a square in your work.Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.Find the function that models the area in terms of one of its sides.Find the point that maximizes the function you found in the second bulleted item.Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.Requirements:Paper must be written in 3rdYour paper should be 4-5 pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU-Global Library (Links to an external site.)Links to an external site.is a great place to find resources. Your textbook is a credible resource.Include a title page, introduction, body, conclusion, and a reference page.The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society as a whole, or it might discuss or describe the unique terminology associated with the topic.The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.Document formatting, citations, and style should be in APA style