2:04 14G Ii elearning.htu.edu.joAs a qualified civil engineer, you were looking for a job particularly in the construction sector. After searching,you get an interview in an investment company in construction sector. An investor reaches your companyrequesting a design proposal for a swimming pool and the interviewer want to give you the mathematicalproposal as an exam to measure your qualifications. The investor doesn't know much information about theaverage member's fees in the area where the Swimming is intended to be built. Therefore, he requested to givehim an approximate estimation about the fees. The interviewer assigned you the following tasks:Table 1: Number of associate people expected to join the Swimming Pool over the coming 3 yearsYearsTotalNumber ofAssociateРеople130023603420Task#1: (members regression and cost analysis)A- Your report should include data for the number of members that will join the pool at the end of the year5, year 6, and year7. Plot the relationship between years and number of people joining the pool, using thedata in the table above in addition to the data founded.B- State in your report what type of progression the members data follows.C- Include in your report the total number of people that the Swimming pool will be accommodated in the6r* year.D- The Swimming Pool should have maintenance after each 5000 associate people joining the SwimmingPool. You have to define in your report after how many years the first, second and third maintenanceprocedure will take place.E- Assume that the expected average cost per member per year is 350JOD, the expected overhead cost is45K JOD per year and the expected cost of employee's salary and maintenance of pool is 60K JOD peryear.1. Use Table.1 to find the average cost/year for the first 3 years individually if no member left the pool.2. Use the dimension analysis to find a function to find the average profit/year and ensure that the derivedfunction you found is dimensionally consistent.F- The interviewer requests data be provided by the statistic department about the average members’ fee/year on the area where the pool is intended to be built. The data provided by the statistical department isin the attached Excel file. The data is collected from 100 pool. The members' fee /year is found to have anormal distribution probability function.11 2:05 14G Ii elearning.htu.edu.joD- The Swimming Pool should have maintenance after each 5000 associate people joining the SwimmingPool. You have to define in your report after how many years the first, second and third maintenanceprocedure will take place.E- Assume that the expected average cost per member per year is 350JOD, the expected overhead cost is45K JOD per year and the expected cost of employee's salary and maintenance of pool is 60K JOD peryear.1. Use Table.1 to find the average cost/year for the first 3 years individually if no member left the pool.2. Use the dimension analysis to find a function to find the average profit/year and ensure that the derivedfunction you found is dimensionally consistent.F- The interviewer requests data be provided by the statistic department about the average members’ fee/year on the area where the pool is intended to be built. The data provided by the statistical department isin the attached Excel file. The data is collected from 100 pool. The members' fee /year is found to have anormal distribution probability function.1. Find the range, mean and standard deviation of the data. You may use a software package for this part.However, you must show the equations applicable for this problem.2. Draw a histogram of the data of bin width of 100 JOD. You may use a software package for this part.3. What is the probability that at a given pool the fee will be between 1200 and 1600 JOD.4. Statistics of the statistical department state that the average members' fee on that particular area is lessthan 1150 ± 170JOD (µ±0). Your team suspects this statistic is an underestimation and consequentlycommence they're on study by studying 100 pool and finding that µsample = 1150. Based on thisinformation conduct a hypothesis test to determine whether the statistical department's statistic is anunderestimate or not at a 0.05 level of significance.G-The marketing department modelled the probability of the ability of the members to pay more than1150JOD/year with a binomial probability distribution, where the probability of paying more than1150JOD/year is p = 0.71. For a population of 1000 members, if you choose a sample of 30 members,address the following:1. What is the probability of having exactly 20 member that would pay more than 1150?2. What is the probability of having no member that would pay more than 1150?H. Use your answers from parts A, B, C and D to give the investor an estimation and recommendationabout the associate members fees. Noting that the investor does not have a technical backgroundabout the statistical terms, so you have to clarify for him in simple words what each term meansand indicate.Task #2: (Design analysis)Consider that the geometry of the arc for billboard for the nool is following the hynerbolic eau11

Note: We will only answer up to first three sub-parts as the exact one is not specified. Please…

As a qualified civil engineer, you were looking for a job particularly in the construction sector. After searching, you get an interview in an investment company in construction sector. An investor reaches your company requesting a design proposal for a swimming pool and the interviewer want to give you the mathematical proposal as an exam to measure your qualifications. The investor doesn't know much information about the average member's fees in the area where the Swimming is intended to be built. Therefore, he requested to give him an approximate estimation about the fees. The interviewer assigned you the following tasks: Table 1: Number of associate people expected to join the Swimming Pool over the coming 3 years Total Number of Years Associate People 1 300 2 360 3 420 Task#1: (members regression and cost analysis) A- Your report should include data for the number of members that will join the pool at the end of the year 5, year 6, and year7. Plot the relationship between years and number of people joining the pool, using the data in the table above in addition to the data founded. B- State in your report what type of progression the members data follows. C- Include in your report the total number of people that the Swimming pool will be accommodated in the 6t" year.

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ