Table of Contents
Business Statistics Old Question Paper Year 2018
Group “A”
Brief Answer Questions: [4×2=8]
- 1) What is sampling? List down the various random sampling techniques.
- 2) One hundred and twenty Students appeared for a English class test and following are the marks distribution.
Marks | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
No. of students | 10 | 25 | 40 | 30 | 15 |
Find the modal marks of the students.
- 3) A bag contains 3 red, 2 black and 5 white balls. If two balls are drawn at random, what is the probability of getting () both red balls (ii) both white balls.
- 4) A random sample of 100 patients suffering from a certain disease was given a serum treatment. It was observed that 80% were relieved of the disease. Find 99% confidence limits for the percentage of patients cured.
Group ‘B’
Short Answer Questions: [4×3=12]
- 5) If the average value of Poisson distribution is 2. Find the value of
(i)P(x = 0) (ii) (x<=1) (ii) P(x >= 2)
- 6) Lives of two models of refrigerators in a recent survey are shown below
Model A | Model B | |
Average life in years | 5 | 6 |
Standard deviation | 3 | 2 |
Which model of refrigerators has greater uniformity in life?
- 7) Following are the income distributions of the 600 employees.
Income ‘000’ Rs: | 0-50 | 50-100 | 100-150 | 150-200 | 200-250 | 250-300 |
No. of employees | 40 | 160 | 200 | 100 | 70 | 30 |
Find the lowest income of richest 15% of employees.
- 8) The following table gives the information of average number of articles produced by Machine A and Machine B respectively with their standard deviations. Test whether the both machines equally efficient on the basis of 50 days of production at 5% level of significance.
Machine A | Machine B | |
Average numbers of articles | 200 | 210 |
Standard deviation | 20 | 15 |
Group ‘C’
Comprehensive Answer Questions:
- 9) The following table gives aptitude test scores and productivity indices of 8 randomly selected workers. Find the correlation coefficient aptitude score and productivity index.
Aptitude score | 57 | 58 | 59 | 59 | 60 | 61 | 62 | 64 |
Productivity score | 67 | 68 | 65 | 68 | 72 | 72 | 69 | 71 |
Estimate the productivity index of a worker whose test score is 66.
- From the following distribution, find skewness and kurtosis. Also comment on the results.
Marks | No. of students |
20-30 | 3 |
30-40 | 7 |
40-50 | 12 |
50-60 | 18 |
60-70 | 16 |
70-80 | 10 |
80-90 | 5 |
90-100 | 4 |
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