Download JNTU-Hyderabad MBA 1st Sem R17 2018 Jan 741AD Business Statistics Question Paper

Code No: 741AD

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

MBA I Semester Examinations, January-2018

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BUSINESS STATISTICS

Time: 3hours

Max.Marks:75

Note: This question paper contains two parts A and B.

Part A is compulsory which carries 25 marks. Answer all questions in Part A.

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Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.

PART - A 5 × 5 Marks = 25

1. a) Explain the various functions of Statistics. [5]
2. b) Find the mode for the following data: [5]
   Profits per shop (in thousands) : 0-10 10-20 20-30 30-40 40-50 50-60
   

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   No.of shops : 10 16 29 22 15 8
3. c) How to classify different types of data. [5]
4. d) How regression analysis can be in forecasting? [5]
5. e) Explain the uses of time series analysis. [5]

PART - B 5×10 Marks = 50

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2. Explain the relationship of statistics with other subject. [10]
3. Explain Mean, Median and Mode. [10]
4. Calculate the mean deviation and its coefficient of the two income groups of five and seven members given below. [10]
   I (Rs.): 4,000 4,200 4,400 4,600 4,800
   II (Rs.): 3,000 4,000 4,200 4,400 4,600 4,800 5,800

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5. OR
6. Find the Bowley's coefficient of skewness for the following frequency distribution:
   No.of children per family: 0 1 2 3 4 5 6
   No.of families : 5 12 16 27 20 9 7 [10]
7. Draw a multiple diagram from the following data:
   

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   Year Sales ('000 Rs.) Gross Profit ('000 Rs.) Net Profit ('000 Rs.)
   2005 110 50 20
   2006 145 55 40
   2007 140 55 35
   2008 150 60 40 [10]

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8. OR
9. A high school asked its employees to estimate the how much time per week they required their students to use the Internet for instructional purposes. The following chart shows the times estimated by each teacher and then divided into two groups by the gender of the teacher. Estimated Time in minutes per week [10]
   Female Male
   15 5
   75 15
   

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   5 10
   60 80
   20 10
   40 0
   30 10
   

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   15 10
   45 15
   40 20
   20 10
   35 20
   

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   15 15
   80 10
   10 0
   10 0
   45 15
   

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   25 5
   10 10
   Use the appropriate t - test to test the significance difference
10. To study the performance of three detergents and these three different water temperatures, the following ‘Whiteness’readings were obtained with specially designed equipment:
    Water Temp.
    

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    Detergent A Detergent B Detergent C
    Cold Water 57 55 67
    Warm Water 49 52 68
    Hot Water 54 46 58
    Perform a two-way analysis of variance, using 5% level of significance? [10]

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11. OR
12. The following data relate to age of employees and the number of days they were reported sick in a month.
    Age : 30 32 35 40 48 50 52 55 57 61
    Sick days: 1 0 2 5 2 4 6 5 7 8
    Find the Karl Pearson coefficient of Correlation. [10]

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13. Below are given the figures of production (in thousand quintals) of a sugar factory:
    Year : 2009 2010 2011 2012 2013 2014 2015
    Production (in'000 qtls):80 90 92 83 94 99 92 [10]
    a) Fit a straight line trend to these figures
    b) Plot these figures on a graph and show the trend line

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14. OR
15. The following table gives the aptitude test scores and Productivity indices of 10 workers selected at random:
    Aptitude Scores (X) : 6 6 6 7 7 2 4 5 7 6 8
    Productivity Index (Y): 6 6 6 8 8 4 5 6 6 6 8
    Calculate the two regression equations. [10]

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