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# Mb0040 statistics for management

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### Mb0040 statistics for management

1. 1. Dear students get fully solved assignments Send your semester & Specialization name to our mail id : help.mbaassignments@gmail.com or call us at : 08263069601 ASSIGNMENT DRIVE FALL PROGRAM SEMESTER SUBJECT CODE & NAME BK ID CREDITS MARKS 2013 MBADS / MBAHCSN3 / MBAN2 / PGDBAN2 / MBAFLEX I MB0040 - STATISTICS FOR MANAGEMENT B1731 4 60 Note: Answer all questions. Kindly note that answers for 10 marks questions should be approximately of 400 words. Each question is followed by evaluation scheme. Q.1 A statistical survey is a scientific process of collection and analysis of numerical data. Explain the stages of statistical survey. Describe the various methods for collecting data in a statistical survey. Answer : Meaning of statistical survey : A statistical survey is a scientific process of collection and analysis of numerical data. Statistical survey are use to collect numerical information about units in population. Surveys involve asking questions to individuals. Surveys of human populations are common in government, health, social science and marketing sectors. Stages of statistical survey (Listing and Explanation) : Q.2 Analysis of daily wages of workers in two organisations A and B yielded the following results: Org A Org B No of worker 10 20 Average daily 30 wages(rs.) variance 25 15 100 Obtain the average daily wages and the standard deviation of wages of all workers in the two organisations taken together. Which organisation is more equitable in regard to wages?
2. 2. Ans: Let x1 , x2 , n1, n2, σ1 , σ2 respectively denote mean, no. of workers and standard deviation of A and B. Then : x1 = 30 , x2 = 15, n1 = 10, n2 = 20 , σ1= sqrt (25) = 5 , σ2 = sqrt(100) = 10 (given) So combined mean X12 = n1x1 + Q.3 a. State the addition and multiplication rules of probability giving an example of each case. Answer : Addition rule of probability and an example: If two events A and B are mutually exclusive then P(A ∪B) = P(A) +P(B) This is the simpliﬁed version of the Addition Law. However, when A and B are not mutually exclusive, A ∩ _= ∅, it can be shown that a more general law applies: B P(A ∪B) = P(A) +P(B)−P(A ∩ B) Of course if A ∩B = ∅ then, since P(∅) = 0 this general expression reduces to the simpler version. b. In a bolt factory machines A, B, C manufacture 25, 35 and 40 percent of the total output. Of their total output 5, 4 and 2 percent are defective respectively. A bolt is drawn at random and is found to be defective. What are the probabilities that it was manufactured by machines A, B and C? Ans : Let Ai (i=1,2,3) be the events of drawing a bolt produced by machine A, B , C respectively. From the data we know that : P(A1) = 0.25 P(A2) = 0.35 P(A3) = 0.40 From the additional information we know that B = The event of drawing a defective bolt Q. 4 a. What is a Chi-square test? Point out its applications. Under what conditions is this test applicable? Ans : Chi-square test: A chi-squared test, also referred to as chi-square test or χ² test, is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true. Also considered a chi-squared test is a test in which this is asymptotically true, meaning that the sampling distribution (if the null hypothesis is true) can be made to approximate a chi-squared distribution as closely as desired by making the sample size large enough.
3. 3. b. Discuss the types of measurement scales with examples. Answer : 1.Nominal: Nominal scales are naming scales. They represent categories where there is no basis for ordering the categories. Nominal Scale Examples diagnostic categories sex of the participant group affiliation 2. Ordinal: Q. 5 Explain the Components of Time series. Answer: Meaning of Time series : A time series is a sequence of data points, measured typically at successive points in time spaced at uniform time intervals. Examples of time series are the daily closing value of the Dow Jones Industrial Average and the annual flow volume of the Nile River at Aswan. Time series are very frequently plotted via line charts. Time series are used in statistics, signal processing, pattern recognition, econometrics, mathematical finance, weather forecasting, earthquake prediction, electroencephalography, control engineering, Q.6 a. What is analysis of variance? What are the assumptions of the technique? Ans : Analysis of variance : Analysis of variance (ANOVA) is a collection of statistical models used to analyze the differences between group means and their associated procedures (such as “variation” among and between groups). In ANOVA setting, the observed variance in a particular variable is partitioned into components attributable to different sources of variation. In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are equal, and therefore generalizes ttest to more than two groups. Doing multiple b. Three samples below have been obtained from normal populations with equal variances. Test the hypothesis at 5% level that the population means are equal. A B C 8 7 12 10 5 9 7 10 13
4. 4. 14 9 12 11 9 14 (The table value of F at 5% level of significance for 1 = 2 and 2 = 12 is 3.88) Ans: Meaning of Analysis of Variance : Analysis of variance (ANOVA) is a collection of statistical models used to analyze the differences between group means and their associated procedures (such as "variation" among and between groups). In ANOVA setting, the observed variance in a particular variable is partitioned into components attributable to different sources of variation. In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are equal, and therefore generalizes ttest to more than two groups. Formulas/Calculation/Solution to the problem 7 Dear students get fully solved assignments Send your semester & Specialization name to our mail id : help.mbaassignments@gmail.com or call us at : 08263069601