Words: 401
Fall 2011- August drive MBA SEMESTER 1 MB0040 – STATISTICS FOR MANAGEMENT- 4 Credits (Book ID: B1129) Assignment Set- 1 (60 Marks) Note: Each question carries 10 Marks. Answer all the questions 1. (a) ‘Statistics is the backbone of decision-making’. Comment. [ 5 marks] (b) Give plural meaning of the word Statistics? [ 5 marks] 2. a. In a bivariate data on ‘x’ and ‘y’, variance of ‘x’ = 49, variance of ‘y’ = 9 and covariance (? x,y) = -17. 5. Find coefficient of correlation between ‘x’ and ‘y’. [ 5 marks] b.
Enumerate the factors which should be kept in mind for proper planning. [ 5 marks] 3. The percentage sugar content of Tobacco in two samples was represented in table 11. 11. Test whether their population variances are same. [ 10 marks] Table 1. Percentage sugar content of Tobacco in two samples Sample A Sample B 2. 4 2. 7 2. 7 3. 0 2. 6 2. 1 2. 8 3. 1 2. 5 2. 2 3. 6 4. a. Explain the characteristics of business forecasting. [ 5 marks] b. Differentiate between prediction, projection and forecasting. [ 5 marks] 5. What are the components of time series?
Bring out the significance of moving average in analysing a time series and point out its limitations. [ 10 marks] 6. List down various measures of central tendency and explain the difference between them? [ 5 marks] b. What is a confidence interval, and why it is useful? What is a confidence level? [ 5 marks] Fall 2011- August drive MBA SEMESTER 1 MB0040 – STATISTICS FOR MANAGEMENT- 4 Credits (Book ID: B1129) Assignment Set- 2 (60 Marks) Note: Each question carries 10 Marks. Answer all the questions 1. (a) What are the characteristics of a good measure of central tendency? 5 marks] (b) What are the uses of averages? [ 5 marks] 2. Calculate the 3 yearly and 5 yearly averages of the data in table below. [ 10 marks] Table 1: Production data from 1988 to 1997 Year 1988 198 199 199 1992 1993 1994 1995 1996 199 9 0 1 7 18 16 22 19 24 20 28 22 30 Productio 15 n (in Lakh ton) 3. (a) What is meant by secular trend? Discuss any two methods of isolating trend values in a time series. [ 5 Marks] (b)What is seasonal variation of a time series? Describe the various methods you know to evaluate it and examine their relative merits. 5 marks] 4. The probability that a contractor will get an electrical job is 0. 8, he will get a plumbing job is 0. 6 and he will get both 0. 48. What is the probability that he get at least one? Is the probabilities of getting electrical and plumbing job are independent? [ 10 marks] 5. (a) Discuss the errors that arise in statistical survey. (b) What is quota sampling and when do we use it? [ 5 marks] [ 5 marks] Fall 2011- August drive 6. (a) Why do we use a chi-square test? (b) Why do we use analysis of variance? [ 5 marks] [ 5 marks]