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) What is the difference between a qualitative and quantitative variable? [5 Marks] (b) A town has 15 neighbourhoods. If you interviewed everyone living in one particular neighbourhood, would you be interviewing a population or a sample from the town? Would this be a random sample? If you had a list of everyone living in the town, called a frame, and you randomly selected 100 people from all neighbourhoods, would this a random sample? [5 Marks] 2. a) Explain the steps involved in planning of a statistical survey? [5 Marks] b) What are the merits & Demerits of Direct personal observation and Indirect Oral Interview? [5 Marks] 3. a) Draw Ogives from the following data and measure the median value. Verify it by actual calculations. [5 Marks] Central size 5 15 25 35 45 Frequency 5 11 21 16 10 b) Complete the following distribution, if its Median is 2,600 and compute the value of Arithmetic Mean. [5 Marks] Size 1000- 1500 1500- 2000 2000- 2500 2500- 3000 3000- 4000 4000- 5000 5000- 6000 Total Frequency 120 ? 400 500 ? 50 20 1500 4. a) What is the main difference between correlation analysis and regression analysis? [5 Marks] b) In a multiple regression model with 12 independent variables, what are the degrees of freedom for error? Explain? [5 Marks] 5. a) Discuss what is meant by Quality control and quality improvement. [5 Marks] b) What are the limitations of a quality control charts? [5 Marks] Feb Drive 2011 6. a) Suggest a more suitable average in each of the following cases: [5 Marks] (i) Average size of ready-made garments. (ii) Average marks of a student. b) State the nature of symmetry in the following cases: [5 Marks] (i) When median is greater than mean, and (ii) When Mean is greater than median. Feb Drive 2011 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. What are the characteristics of a good measure of central tendency? [5 Marks] (b) What are the uses of averages? [5 Marks] 2. For each one of the following null hypothesis, determine if it is a left-tailed, a right-tailed, or a two-tailed test. [10 Marks} a. µ = 10 b. P = 0.5 c. µ is at least 100. d. µ = -20 e. p is exactly 0.22 3. What is test statistic? Why do we have to know the distribution of a test statistic? [10 Marks] 4. Suppose you are sampling from a population with mean µ= 1,065 and standard deviation s = 500. The sample size is n=100. What are the expected value and the variance of a sample mean ¯ ? [ 10 Marks] 5. The time it takes an international telephone operator to place an overseas phone call is normally distributed with mean 45 seconds and standard deviation 10 seconds. [10 Marks] a) What is the probability that my call will go through in less than 1 minute? b) What is the probability that I will get through in less than 40 seconds? 6. The following data are the number of tons shipped weekly across the pacific by a shipping company. [10 marks] Feb Drive 2011 398, 412, 560, 476, 544, 690, 587, 600, 613, 457, 504, 477, 530, 641, 359, 566, 452, 633, 474, 499, 580, 606, 344, 455, 505, 396, 347, 441, 390, 632, 400, 582 Assume these data represent an entire population. Find the population mean and the population standard deviation.