[MBALM-S 104] t XAMINATION MLB.A. (CBCS) DEGREE First Semester (School of International Business) IRS Logistics and Supply Chain Management i~ BUSINESS STATISTICS AND DATA ANALYTICS o (Effective from the admitted batch of 2021-2022) Time : Three hours Maximum : 60 marks PARTI — (6% 2= 10 marks) 10) 1. Answer any FIVE of the following : i (a) Define statistics. What are its imitations? ie (b) What are the requisites of a good measure of dispersion? em. (©) Explain the utility of time series. ye? (@ Why index numbers are called economic barometers? (e) Explain scatter diagram. 0.) @ scanned with OKEN Scanner ession coefficients. What: are their () Define ree ' properties? ) (g) State addition theorem of probability. Give an example. - No.of A : «09 (h) What is Business Analytics? — PART Il — (5 x 7= 35 marks) t Answer the following. 2. (a) The mean and standard deviation of 200 items: are found to pe 60 and 20 a respectively. If at the time of calculation, two items were wrongly taken as 3 and 67 instead of 13 and 17, find the correct mean and standard deviation. What is the correct coefficient of variation? Ye Pr Or c (>) From the following data find the Bowley’s coefficient of skewness and comment. — Income Below 200-4 40 . a on 0 400-600 600-800 800-1000 Above ; 1000 ? No.of 2 40 80 persons : . > 6 2 [MBALM-S 104] @ scanned with OKEN Scanner3. 4 @) The sales of a company in thousand rupees for the year 1980 through 1986 are given below : Year : 1980 1981 1989 1983 1984 1985 1926 No.of 32 persons : 47 6592 132 390-75 Estimate the sale 7 figure for the year 1927 sing an equation of the form Y =q- b*. Or (b) From the followin; g data construct an index number @) with 2000 as base Gi) by chain base method and comment. Year : 2000 2001. 2002 2003 2004 2003 Price 50 60 62 65 70 8 (000) : 4. (a) Calculate correlation coefficient for the following data and comment. 718 89 96 69 59 19 es 125 187 156 112-136-123 SS Or [MBALM-S 104] @ scanned with OKEN Scanner Qo destroyed record the following able: various of x25, tion of x on y, 5x y~ 29" ation of y on ; regr' 64x - G) mean values of xandy 1 (i) coefficient of correlation betwee ay xandy (ii) standard deviation of y- 6. ture has two plants to manufac’ (a) A company Poe : _ Plant I manufacture’ ators and Plant II manufactures 20%. At Plant I 85 out of 100 scooters are rated standard quality or better. At Plant IT only 65 out of 100 scooters are rated standard quality or better. What is the probability the scooter come from Plant II if it is known that the scooter is of standard quality? Or (b) 1000 bulbs with a mean life of 120 days age= = installed in a new factory. Their length of —<— is normally distributed with deviation 20 days. ; sien . [MBALM-S 104] @ scanned with OKEN Scanner@ How many bulbs will expire in Jess than 90 days? Gi) If it is decided to replace all the bulbs together what interval should he allowed between replacement, if no more than 10% should expire before SS replacement? 6. (a) 9 students selected at random obtained the following scores : Student No. 1 2 3 4 5 6 7 8 9 Quantitative 27 64 27 45 50 32 41 47 34 reasoning test Verbalreasoning 37 54 33 66 42 29 33 49 30 test . U Or (b) From the data given below, explain the steps to predict sales for a given value of purchases = using Excel. Sales : 81 87 98. 111 57 114 41 63 91 4 84 Purchases : 75 79 73 100 74 96 43 6 ; [MBALMS 104] @ scanned with OKEN ScannerPART II] — (1 x 15 = 15 marks) (Compulsory) 7. Case study : The number of arrivals of ships per day at a port are as given below : CU ec ee te arrivals : Noor OU 63 60 ad G4 34 io 8 a 2 oF days : Can we conclude that the number of arrivals follows a Poisson distribution at 5% level of significance. © scanned with OKEN Scanner[ MBALM -S 104] MBA. DEGREE EXAMINATION Logistics & Supply Chain Management First Semester BUSINESS STATISTICS AND DATA ANALYTICS (Effective from the admitted batch of 2021-2022) yim _ 3 hours Max. Marks : 60 PART -I 1. Answer any FIVE questions from the following . (5 x2= 10) (a) Skewness (b) Positive and negative correlation (c) Auto Regression (@) Mutually exclusive events (e) Binomial and normal distribution () Role of time series analysis in business forecasting (g) Applications of chi-square test (b) Multiplicative law : PART-II (5 x7 = 35) Answer ALL the questions. 2, (a) Compute the mean deviation from the median : distribution of the and mean for the following scores of 50 high school students. F70-180]180-190]190-200 soe [40-T50]I60-160]160-170 [Frequency 6 | 1 | 1 | 9 3 (OR) (P.7.0.) © scanned with OKEN Scanner[MBALM -S 104] ®) cae the quartile deviation and the coefficient of the deviation for the data given below: Income | Legs than | 50-70] 70-90] 90-110 S)} 50 No. of 54 100 | 140 | 300 persons i @ Tncome]110-130 _ |130-50] above 150 (Rs.) days No. of 230 125 51 persons 3. (a) Write short notes on various components of time series as trend, seasonal cyclic etc. (OR) (b) From the following chain base index number given prepare the fixed base index number. Year | 2013] 2014 | 2015 | 2016 | 2017 80 | 110 | 120 | 90 | 140 Index 4, (a) The management of a chain electronic store would like to develop a model for predicting the weekly sales (in thousands of dollars) for individual stores based on the number of customers who made purchases. A random sample of 12 stores yields the following results fit a regression line for using number of customers : as independent variable. 2 @ scanned with OKEN Scanner[MBALM -S 104] 907 | 926 718/741 ju 2] 05 8.21) 9 Ay 529 | 460 c (OR) 02] G12 (&) Find the Karl Person's coefficient of correlation between the sales (Rs. in lakhs) and advertising expenditure (Rs. in 000) from the following data ( : [Sales ‘| 65] 66] 67] 68]69]70]71 72 73] lAvertisi — ising] 6g 67| 64| 67/71 | 69/70/68 70 | 780 | HoH 10.8) 6.73 | 872 | 650 | 6¢ 9.52] 7 5. (a) Ina binomial experiment with 5 trails what is the probability of obtaining exactly 3 successes ifp=1.12. (OR) (b) It has been found that 80% of all the tourists who visit South Korea visit Seoul. 705 of them visit Bussan and 60% of them visit both. What is the probability that a tourist will visit at least one city? Also find the probability that they will visit neither city. nt applications of Business (a) Explain the differe everage business analytics. How can we 1 " business eee in Managerial decision making 1» the organizations? ° (co) (P.7.0.) @ scanned with OKEN Scanner[MBALM -S 104] (b) A researcher does a one-independent sample z test and makes the decision to reject null hypothesis. Another researcher selects a larger sample from the same population obtains the same sample mean and makes the decision to retain the null hypothesis using the same hypothesis test. Is this possible? Explain. PART - IIT (1 x15 = 15) 7. CASE STUDY (Compulsory) Alight bulb industry went for mass production of color bulbs before a festival. Five bulbs, one of each color, were packed in each of the boxes; which were to be sold as a item to the customers. Due to shortage of time, quality was compromised and it was estimated that 20% of the bulbs were defected. If the customer purchased such a box of bulbs. what is the probability that the box will have? ().. No defective bulb (i) 2 defective bulbs Gui at least one defective bulb (iv) at most one defective bulb (v) all the bulbs are defective Re 4 @ scanned with OKEN Scannerwe? [MBALM -S 104] ; MBA. DEGREE EXAMINATION Logistics & Supply Chain Management First Semester BUSINESS STATISTICS AND DATA ANALYTICS (Effective from the admitted batch of 2021-2022) Max. Marks : 60 Time : 3 hours PART - I 1. Answer any FIVE questions from the following - (6 x2=10) 2. (a) Skewness (b) Positive and negative correlation (©) Auto Regression (d) Mutually exclusive events (e) Binomial and normal distribution () Role of time series analysis in business forecasting (g) Applications of chi-square test (h) Multiplicative law PART-II Answer ALL the questions. (a) Comp and mean for ute the mean deviation fro the following distribution 0! scores of 50 high school students. (6x 7 = 35) m the median (180-190) f the [190-200 140-150 1150-160|160-170} 170-180) score Frequency| 4 6 10 10 9 3 (OR) & sca (P.T.0.) nned with OKEN Scanner[MBALM -§ 104] &) Caleulate the quartile deviatio n and the 3. 4 @) coefficient of the deviation for the data given below: : a fncome [Loss than 50-70 | 70-90 (Rs)] 50 \No. of 54 100 140 [persons | | i —, Tmcome]110-130 130-50] above 150 Rs.) | days No.of | 230 125 a ons ! (@) Write short notes on various components of time series as trend, seasonal cyclic etc. (OR) (b) From the following chain base index number given prepare the fixed base index number. | Year [2013] 2014 | 2015 [2016 |2017 [Index] 80 [110 [120 | 90 | 140 The management of a chain electronic store would like to develop a model for predicting the weekly sales (in thousands of dollars) for individual stores based on the number of ae made purchases. A random as 4 stores yields the following results fit ©8ression line for using number of customers as independent variable, 2 © scanned with OKEN Scanner[MBALM -5 104] Custemers | 907 Z a 907 | 926] 713] 741 [780 | 898 | ‘ale r ; 1.2/11.05 8.9 | p | | ee | 8.21| 9.42] 10.8 16.73 | = 10} 529] 460] 8 650 | 603 | ae : 6 F 503 __| 8.73] )2} 6.12] 9 alr lrae| 1.02) 6.12) 9.52]7.53 |7.a5 (OR) (b) Find x nd the Karl Person’s coefficient of correlation (a) (b) (a) between the s in lakh advertising e sales (Rs. in lakhs) and X s 7 advertis expenditure (Rs. in 000) from the following a Sales / 65] 66|67]68|69|70]71 |72| 73 | \Avertisi ertising] 6g] 67| @4|67|71|69|70|68| 70 | In a binomial experiment with 5 trails what is the probability of obtaining exactly 3 successes ifp=1.12. (OR) It has been found that 80% of all the tourists who visit South Korea visit Seoul. 705 of them visit Bussan and 60% of them visit both. What is the probability that a tourist will visit at least one city? Also find the probability that they will visit neither city. nt applications of Business an we leverage business Explain the differe: jsion making in the analytics. How cap analytics in Managerial dec! organizations? (OR) 2.7.0.) @ scanned with OKEN Scanner| MBALM -S 104] \ vesoareher does a one-independent. sample test and makes the decision to reject null hypothesis. Another researcher selects a larger sample from the same population obtains the same sample mean and makes the decision to retain the null hypothesis using the same hypothesis test. Is this possible? Explain. o PART - II (1 x15 = 15) _ CASE STUDY (Compulsory) Alight bulb industry went for mass production of color bulbs before a festival. Five bulbs, one of each color, were packed in each of the boxes; which were to be sold as a item to the customers. Due to shortage of time, quality was compromised and it was estimated that 20% of the bulbs were defected. If the customer purchased such a box ofbulbs. what is the probability that the box will have? (i) No defective bulb (i) 2defective bulbs (iii) at least one defective bulb iv) at most one defective bulb (v) all the bulbs are defective @ scanned with OKEN Scanner