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2 A firm would like to know whether there is relationship between the amount of annual salary and the number of hours that an employee
2 A firm would like to know whether there is relationship between the amount of annual salary and the number of hours that an employee misses per year. The following data were obtained as presented in Table Q2. CONFIDENTIAL ONFIDENTIAL BWA 21003 (a) Test at a=0.05 to determine whether there exists relationship between the two variables. (4 marks) (b) The firm has just found out that employee number 13 had resigned, but his name has not been removed during the analysis. Due to this fact, write your recommendation concerning this situation. (3 marks) (c) The model was once again refitted to the data by excluding employee number 13. The following MINITAB output in Table Q2(c) was obtained. Using the above result, calculate the coefficient of determination. (2 marks) (d) Based on results in Q2(a) to Q2(c), concludes on the model adequacy. You can support your conclusion by shows some calculation. (5 marks) A military company is considering four brands of parachutes woven made from synthetic fibers from different suppliers. A study was conducted to study the strength of parachutes. The strength of parachutes is measured by placing them in a testing device that pulls on both ends of a parachute until it tears apart. The amount of force required to tear the parachute is measured on a tensile-strength scale where the larger the value the stronger the parachute. The results of the study (in terms of tensile strength) are displayed in Table Q3 below. Conduct an appropriate test whether the mean tensile strength is equal among the 4 CONFIDENTIAL ONFIDENTIAL BWA 21003 four suppliers. Use a=0.05. If there is any difference, determine which supplier(s) should you choose, and which supplier(s) should you avoid? Justify your answer. (10 marks)
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