Business Statistics And Research Techniques

St. Joseph’s College of Commerce 2016 II Sem Business Statistics And Research Techniques Question Paper PDF Download

by
REG NO:

 

 

ST. JOSEPH’S COLLEGE OF COMMERCE (AUTONOMOUS)
END SEMESTER EXAMINATION – MARCH/APRIL 2016
B.COM(Regular) – II SEMESTER
C1 15Ar204: BUSINESS STATISTICS AND RESEARCH TECHNIQUES
Duration: 3 Hours                                                                                             Max. Marks: 100
SECTION – A
I) Answer ALL the questions.  Each carries 2 marks.                                        (10×2=20)
  1. Define statistics.
  2. If mean = 3.95 and Z = 4.01 then Md=??
  3. Calculate the mean and median for the following data

70, 65, 55, 75, 80, 85, 65, 70, 95
  4. How do you find the combined Arithmetic Mean of two series of data?
  5. Find the range of weight of 10 students from the following

65, 19, 86, 15, 17, 18, 8, 4, 9, 7.
  6. What is Time series?  Mention the different methods of Time Series.
  7. What is Null & Alternative hypothesis?
  8. Give the meaning of Research.
  9. Distinguish between regression and correlation.
  10. A problem in statistics is given to five students A, B, C, D and E. Their chances of solving it are 1/2; 1/3; 1/4; 1/5 and 1/6. What is the probability that the problem will be solved?
SECTION – B
II) Answer any FOUR questions.  Each carries 5 marks.                                      (4×5=20)
  11. Define tabulation. What are the different parts of it?
  12. Briefly discuss the characteristics of statistics.
  13. A box contains 7 white and 2 black marbles , find the probability of drawing

a)      A white marble b) A black marble c) white or a black marble.
  14. Co-efficient of variations of two series are 80% and 100 % respectively. Their variances are 64 and 36 respectively. What are their arithmetic mean?
  15. From the following data, calculate Rank correlation co-efficient :

X  80  30  60  40  20  66  96  70

Y  30  24  28  68  55  43  38  40
  16. Draw a frequency polygon for the following data.

Weight (in kg)         Number of Students

30-35                                 4

35-40                                 7

40-45                               10

45-50                               18

50-55                               14

55-60                                 8

60-65                                 3

 
 

SECTION – C
III) Answer any THREE questions.  Each carries 15 marks.                                (3×15=45)                                                                                                
  17. a) From the following frequency distribution table calculate mean, median & mode.

Class Interval Frequency
0-20 17
20-40 28
40-60 32
60-80 24
80-100 19
        Total 120

b)     The following table gives data regarding leading sources of technology transfer (in percentage):

Countries Percentage
UK 4
Denmark 10
Canada 5
US 14
Spain 6
Japan 10
Germany 17
Other Developed Countries 19
Developing Countries        15

Represent the data by a suitable Pie Diagram.                                      (10+5)   

  18. You are given below the daily wages paid to the workers in two factories X and Y:

 

Daily Wages (Rs.)

 Number of Workers
Factory X Factory Y
120-130 15 25
130-140 30 40
140-150 44 60
150-160 60 35
160-170 30 12
170-180 14 15
180-190 7 5

Calculate Mean, Standard Deviation and Coefficient of Variation  answer the following:

(i) Which factory pays higher average wage?

(ii) Which factory has more consistent wage structure?

 
  19. A movie producer is bringing out a new movie. In order to map out his advertising campaign, he wants to determine whether the movie will appeal most to particular age group or whether it will appeal equally to all age groups. The producer takes a random sample from persons attending preview of the new movie and obtains the following results:

 

 

Particulars

 Age Groups  

Total
Under 20 20-39 40-39 60 & over
Liked the Movie 146 78 48 28 300
Disliked the Movie 54 22 42 22 140
Indifferent 20 10 10 20 60
Total 220 110 100 70 500

Apply chi-square test at 5% level of significance. What inference will you draw from the above data taking the hypothesis that movie appeals equally to all age groups?                                                                
  20. Below are given the figures of production (in thousand

quintals) of a sugar factory:

Year :                 2009    2010    2011    2012    2013    2014    2015

Production :        80        90        92       83         94        99       92

(a) Fit a straight line trend to these figures.

(b) Plot these figures on a graph and show the trend line.

(c) Estimate the production in 2016.
  21. a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife’s selection is 1/5. What is the probability that:

(i) Both of them will be selected.

(ii)Only one of them will be selected, and

(iii) None of them will be selected.

b)   You are given below the following information about advertising and sales:

Particulars Advertisement Expenditure (in crore) Sales (Rs. crore)
Mean 20 100
S.D. 5 12
Correlation coefficient 0.8

(a) Calculate the two regression lines.

(b) Find the likely sales when advertisement expenditure is Rs. 25 crore.

(5+10)
SECTION – D
IV) Case Study – Compulsory question.                                                                (1×15=15)                                                                                          
  22. a) Calculate Karl Pearson’s coefficient of correlation between expenditure on

advertising (X) and sales (Y) from the data given below:

X: 39 65 62 90 82 75 25 98 36 78

Y: 47 53 58 86 62 68 60 91 51 84

 

b) Compute 1st quartile, 3rd quartile and the co-efficient of quartile deviation from the following data.

Class             0-100        100-200       200-300      300-400      400-500

Frequency      14               25                  38               26                17

(8+7)

 

&&&&&&&&&&&&&&&&&&&&&&&

 

 

 

 

St. Joseph’s College of Commerce 2016 II Sem Business Statistics And Research Techniques Question Paper PDF Download

by
REG NO:

 

 

ST. JOSEPH’S COLLEGE OF COMMERCE (AUTONOMOUS)
END SEMESTER EXAMINATION – MARCH/APRIL 2016
B.COM(BPM) – II SEMESTER
C3 15Ar204: BUSINESS STATISTICS AND RESEARCH TECHNIQUES
Duration: 3 Hours                                                                Max. Marks: 100
SECTION – A
I) Answer ALL the questions.  Each carries 2 marks.                                        (10×2=20)
  1. Define statistics.
  2. If mean = 3.95 and Z = 4.01 then Md=??
  3. Calculate the mean and median for the following data

70, 65, 55, 75, 80, 85, 65, 70, 95
  4. How do you find the combined Arithmetic Mean of two series of data?
  5. Find the range of weight of 10 students from the following

65, 19, 86, 15, 17, 18, 8, 4, 9, 7.
  6. What is Time series?  Mention the different methods of Time Series.
  7. What is Null & Alternative hypothesis?

 
  8. Give the meaning of Research.
  9. Distinguish between regression and correlation.
  10. A problem in statistics is given to five students A, B, C, D and E. Their chances of solving it are 1/2; 1/3; 1/4; 1/5 and 1/6. What is the probability that the problem will be solved?
SECTION – B
II) Answer any FOUR questions.  Each carries 5 marks.                                      (4×5=20)
  11. Define tabulation. What are the different parts of it?
  12. Briefly discuss the characteristics of statistics.
  13. A box contains 7 white and 2 black marbles , find the probability of drawing

a)      A white marble b) A black marble c) white or a black marble.
  14. Co-efficient of variations of two series are 80% and 100 % respectively. Their variances are 64 and 36 respectively. What are their arithmetic mean?
  15. From the following data, calculate Rank correlation co-efficient :

X  80  30  60  40  20  66  96  70

Y  30  24  28  68  55  43  38  40
  16. Draw a frequency polygon for the following data.

Weight (in kg)         Number of Students

30-35                                 4

35-40                                 7

40-45                               10

45-50                               18

50-55                               14

55-60                                 8

60-65                                 3

 
SECTION – C
III) Answer any THREE questions.  Each carries 15 marks.                                (3×15=45)                                                                                                 
  17. a) From the following frequency distribution table calculate mean, median & mode.

Class Interval Frequency
0-20 17
20-40 28
40-60 32
60-80 24
80-100 19
        Total 120

b)     The following table gives data regarding leading sources of technology transfer (in percentage):

Countries Percentage
UK 4
Denmark 10
Canada 5
US 14
Spain 6
Japan 10
Germany 17
Other Developed Countries 19
Developing Countries        15

Represent the data by a suitable Pie Diagram.                                         (10+5); 

  18. You are given below the daily wages paid to the workers in two factories X and Y:

 

Daily Wages (Rs.)

 Number of Workers
Factory X Factory Y
120-130 15 25
130-140 30 40
140-150 44 60
150-160 60 35
160-170 30 12
170-180 14 15
180-190 7 5

Calculate Mean, Standard Deviation and Coefficient of Variation  answer the following:

(i) Which factory pays higher average wage?

 

(ii) Which factory has more consistent wage structure?

 
  19. A movie producer is bringing out a new movie. In order to map out his advertising campaign, he wants to determine whether the movie will appeal most to particular age group or whether it will appeal equally to all age groups. The producer takes a random sample from persons attending preview of the new movie and obtains the following results:

 

 

Particulars

 Age Groups  

Total
Under 20 20-39 40-39 60 & over
Liked the Movie 146 78 48 28 300
Disliked the Movie 54 22 42 22 140
Indifferent 20 10 10 20 60
Total 220 110 100 70 500

Apply chi-square test at 5% level of significance. What inference will you draw from the above data taking the hypothesis that movie appeals equally to all age groups?                                                                
  20. Below are given the figures of production (in thousand

quintals) of a sugar factory:

Year :                 2009    2010    2011    2012    2013    2014    2015

Production :        80        90        92       83         94        99       92

(a) Fit a straight line trend to these figures.

(b) Plot these figures on a graph and show the trend line.

(c) Estimate the production in 2016.
  21. a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife’s selection is 1/5. What is the probability that:

(i) Both of them will be selected.

(ii)Only one of them will be selected, and

(iii) None of them will be selected.

b)   You are given below the following information about advertising and sales:

Particulars Advertisement Expenditure (in crore) Sales (Rs. crore)
Mean 20 100
S.D. 5 12
Correlation coefficient 0.8

(a) Calculate the two regression lines.

(b) Find the likely sales when advertisement expenditure is Rs. 25                                                                                                          (5+10)
 

SECTION – D
IV) Case Study – Compulsory question.                                                                (1×15=15)    

                                                                                     

  22. a) Calculate Karl Pearson’s coefficient of correlation between expenditure on

advertising (X) and sales (Y) from the data given below:

X:  39  65  62  90  82  75  25  98  36  78

Y:  47  53  58  86  62   68  60 91  51  84

 

b) Compute 1st quartile, 3rd quartile and the co-efficient of quartile deviation from the following data.

Class             0-100        100-200       200-300      300-400      400-500

Frequency      14               25                  38               26                17

(8+7)

 
     

&&&&&&&&&&&&&&&&&&&&&&&

 

 

 

 

 

 

 

 

© Copyright Entrance India - Engineering and Medical Entrance Exams in India | Website Maintained by Firewall Firm - IT Monteur