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Dear Student, The University has decided to have only one assignment per course w.e.f. January 2007 session onwards for students of MBA and MBA (Banking and Finance). Please attempt the assignment questions given in this leaflet/booklet and submit it to the coordinator of the study center, you are attached with, on or before 31st October, 2007. ASSIGNMENT : MS 08 : Quantitative Analysis for Managerial Applications : 08/TMA/SEM-II/2007 : All Blocks Course Code Course Title Assignment No. Coverage Note: Attempt all the questions and send it to the coordinator of the study centre, you are attached with. 1. In a management skills test following data was obtained from the scores of 50 young managers. 72 57 74 71 65 a. b. 2. 72 67 76 53 51 93 72 79 67 75 70 57 72 65 68 59 83 61 100 75 78 76 72 83 66 74 74 73 69 77 65 56 76 61 61 73 68 67 72 64 80 67 49 68 74 Prepare the frequency distribution table and the frequency histogram for this data set. Compute the sample mean, sample median, sample range, inter-quartile range and sample variance. A sample of 2000 individuals is distributed according to eye color and the presence or absence of a certain ophthalmic trait as follows: TRAIT Yes No Total EYE COLOR Blue Brown 400 270 200 650 600 920 Other 130 350 480 Total 800 1200 2000 In a random selection of an individual from the study population, what is your estimate of the probability that: a. The person has blue eyes? b. The person has neither brown nor blue eyes given that the trait is absent? c. The person does not have brown eyes? d. The person does not have the trait or does not have brown eyes? 3. What is the difference between a discrete and a continuous random variable? examples of each to support your statement. 4. Forty-nine sumo wrestlers, observed at random, yield a mean weight of 160 kilograms with a standard deviation (s) of 11 kilograms. Are these observations consistent with the hypothesis that the mean weight of all sumo wrestlers is 170 kilograms? 5. Explicate what correlation coefficients of -1, 0 and 1 mean, using graphs to illustrate. What is the accuracy of prediction in each of these three cases given by yˆ a bx and why? 2 Give some 3