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MBA I SEMESTER EXAMINATION 2010-11Course Code : MBA104 Paper ID: 0401112Business StatisticsTime : 3 Hours Max. Marks: 75Note : Attempt six questions in all. Q. No. 1 is compulsory.1. Answer any five of the following (limit your answer in 50 words). (3×5=15)a) Explain arithmetic mean with its merits and demerits.b) What do you mean by time series analysis- What are its main components-c) Discuss the terms (i) Random experiment(ii) Mutually exclusive events (iii) Independent events.d) Define classical definition of probability with its limitations.e) Differentiate between population and sample.f) Differentiate between correlation and regression analysis.g) What is meant by testing of hypothesis- Explain.h) What is an index number- Explain its significance.2. Calculate mean deviation about median for the following data : (12)Class intervals 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Frequency 8 12 10 8 3 23. Describe median and mode with their merits and demerits. (12)4. State and prove Bayes theorem. How is it used in proper decision making- (12)5. Explain various methods of studying correlation. Interpret the meaningof the values of the coefficient of correlation as 0 and ± 1. (12)6. Describe 2 test for testing the goodness of fit. 1000 families wereselected at random in a city to test the belief that high income familiesusually send their children to public schools and the low incomefamilies often send their children to government schools. The followingresults were obtained. (12) Income School Public Govt.High 370 430Low 130 70

Test whether income and type of schooling are independent at 5% levelof significance. (Given that x21,.05 = 3.84)7. Explain how trend is eliminated from a time series by moving averagemethod from the following data. Calculate the trend values using fouryearlymoving average : (12)Year 1989 1990 1991 1992 1993 1994 1995 1996 1997Values 506 620 1036 673 588 696 1116 738 6638. Define t-test with its applications. An operative claims that he produces40 articles in an hour. A sample of 10 random hours shows the turns outas 43, 45, 38, 37, 41, 42, 44, 39, 43 and 38. Is the claim of the operativereasonable significant at 5% level of significance- (Use t9 = 1.833).(12)