Option #1: Critical Thinking: Quality at A1 HotelsA1 Hotels operates luxury hotels throughout the world. Recently, motivated by some incidents that appeared in the news, they have been concerned about the quality of service. The company has been giving the following survey to its clients after their stay:How would you rate the quality of your room? Select one.Good(G), Poor(P)How would you rate the quality of your food? Select one.Good(G), Poor(P)How would you rate the quality of your service? Select one.Good (G), Poor(P)Any customer who answered "Poor" to at least one of the three questions above is considered to be "dissatisfied." Traditionally, 40% of customers have been dissatisfied.A1 Hotels would like to see if the recent level of customer satisfaction has changed. Therefore, 200 survey responses were recently chosen at random for analysis. The complete data set is in the file named Hotels.Managerial ReportPrepare a report (see below) for A1 Hotels that summarizes your assessment of customer satisfaction. Be sure to include the following seven items in your report.To summarize the data, compute the proportion of all clients thatAnswered "Poor" to room quality.Answered "Poor" to food quality.Answered "Poor" to service quality.What do these three proportions tell you about customer satisfaction at A1 hotels? What graphical displays of data would you use to understand or explain the results of the survey?What is the point estimate of the proportion of all recent clients who were "dissatisfied?" Develop the 92% confidence interval for the proportion of all recent clients who were "dissatisfied." Interpret what the confidence interval tells you about the proportion of all recent clients who were "dissatisfied." What is the corresponding margin of error? How can the margin of error be decreased?Develop the 92% confidence interval for the proportion of all recent clients who answered "Poor" to room quality. Interpret what the confidence interval tells you about the proportion of all recent clients who answered "Poor" to room quality. What is the corresponding margin of error? How can the margin of error be decreased?Develop the 92% confidence interval for the proportion of all recent clients who answered "Poor" to food quality. Interpret what the confidence interval tells you about the proportion of all recent clients who answered "Poor" to food quality. What is the corresponding margin of error? How can the margin of error be decreased?Develop the 92% confidence interval for the proportion of all recent clients who answered "Poor" to service quality. Interpret what the confidence interval tells you about the proportion of all recent clients who answered "Poor" to service quality. What is the corresponding margin of error? How can the margin of error be decreased?Conduct a hypothesis test, using both the p-Value Approach and the Critical Value Approach, to determine if the proportion of all recent clients is more dissatisfied than the traditional level of dissatisfaction. Use α = 0.08 level of significance. Do not forget to include the correctly worded hypothesis and show all of the steps required to conduct the hypothesis test.What would be possible effects of a lower and then of a higher level of significance?What other hypothesis tests would you use to better understand hotel customer satisfaction?What advice would you give A1 Hotels based upon your analysis of the data?What is the magnitude of the improvement (if any)?How can this study be improved?Write a report that adheres to the formatting and APA expectations outlined on the CSU Global Writing Center (Links to an external site.). As with all written assignments at CSU Global, you should have in-text citations and a reference page.Submit your Excel file in addition to your report.Requirements:Paper must be written in third person.Your paper should be four to five 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.) is a great place to find resources.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 conform to the CSU Global Writing Center (Links to an external site.). A short summary containing much that you need to know about paper formatting, citations, and references is contained in the New Sample APA Paper (Links to an external site.). In addition, information in the CSU Global Library (Links to an external site.) has many helpful areas (Writing Center, Writing Tips, Template Examples/Papers Essays, and others).

Apply matrix theory to linear equations and transformations Scenario You are employed as a network engineer and have been asked to analyze a communication network to determine the current data rates and ensure that the links aren’t at risk of “reaching capacity.” In the following figure of the network, the sender is transmitting data at a total rate of 100+50 = 150 megabits per second (Mbps). The data is transmitted from the sender to the receiver over a network of five different routers. These routers are labeled A, B, C, D, and E. The connections and data rates between the routers are labeled as , , , , and . Directions In this project, you will analyze the communication network and solve for the unknown data rates using a variety of techniques. The system can be modeled mathematically as a system of linear equations by writing an equation for each node/router in the network. Each of these equations can be written by noting that the sum of inputs must equal the sum of outputs. To complete the project, work on the problems described below. As you complete each part, show your work and carefully describe how you arrive at your final answer. The methods and conclusions need to be clear when sharing your results with management. Any MATLAB code or MATLAB terminal outputs you generate should be provided in your submitted document to support your answers and work. Develop a system of linear equations for the network by writing an equation for each router (A, B, C, D, and E). Make sure to write your final answer as where is the coefficient matrix, is the vector of unknowns, and is a vector of constants. Use MATLAB to construct the augmented matrix and then perform row reduction using the rref() function. Write out your reduced matrix and identify the free and basic variables of the system. Use MATLAB to compute the LU decomposition of , i.e., find . For this decomposition, find the transformed set of equations . Solve the system of equations for the unknown vector . Use MATLAB to compute the inverse of using the inv() function. Compute the solution to the original system of equations by transforming into , i.e., compute . Check your answer for using Cramer’s Rule. Use MATLAB to compute the required determinants using the det() function. The Project One Table Template, provided in the Supporting Materials section, shows the recommended throughput capacity of each link in the network. Put your solution for the system of equations in the third column so it can be easily compared to the maximum capacity in the second column. In the fourth column of the table, provide recommendations for how the network should be modified based on your network throughput analysis findings. The modification options can be No Change, Remove Link, or Upgrade Link. In the final column, explain how you arrived at your recommendation.

Please finish the following worksheet and follow all the corresponding questions. Answer on the excel sheet