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7 j j j SVKM’S NMIMS MUKESH PATEL SCHOOL OF TECHNOLOGY MANAGEMENT & ENGINEERING Program: MBA Tech (All Streams) ~ Year: IV ~ Semester : VII~ Academic Year: 2018-2019 \ Subject: Business Analytics for Decision Making ~ Marks: 70 ~ \ Time: 2.00 pm to 4.00 pm — Date: 28 January 2019 ~ Durations: 2 (hrs) No. of Pages: 4 Re-examination (2018-19) ~ Instructions: Candidates should read carefully the instructions printed on the question paper and on the cover of the Answer Book, which is provided for their use, 1) Question No. _1__ is compulsory. 2) Out of remaining questions, attempt any 4 questions. eS 3) In all_5 questions to be attempted. MPSTME 4) All questions carry equal marks. et) LIBRARY 5) Answer to each new question to be started on a fresh page. 6) Figures in brackets on the right hand side indicate full marks. 7) Assume suitable data if necessary. Ja) Explain Bias- Variance Trade-offs in MRA. (7 marks) 1b) You are given the following information obtained from a random sample of 4 observations. 25 47: 32 56 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.) I State the null and the alternative hypotheses. (2 marks) Il Determine the test statistic. (3 marks) Ill Determine the p-value; and at 95% confidence test to determine whether or not the mean of the population is significantly different from 48. (2 marks) 2) The table below shows the scores for 12 students on two Mathematic exam papers. For the first paper calculators were allowed and for the second paper they were not. Paper. 1 (xx) | 74/73 | 65/75/68} 72 69} 71 | 83 | 68 | 68/73 | Paper 2 (yy) | 75 | 83 | 69 | 77} 71/77/68} 76 84, 69/71) 75 
