MB0040 – STATISTICS FOR MANAGEMENT- Feb Drive 2011

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1. (a) What is the difference between a qualitative and quantitative variable?

[5 Marks]

(b) A town has 15 neighbourhoods. If you interviewed everyone living in one particular neighbourhood, would you be interviewing a population or a sample from the town? Would this be a random sample? If you had a list of everyone living in the town, called a frame, and you randomly selected 100 people from all neighbourhoods, would this a random sample? [5 Marks]

2. a) Explain the steps involved in planning of a statistical survey? [5 Marks]

b) What are the merits & Demerits of Direct personal observation and Indirect Oral Interview? [5 Marks]

3. a) Draw Ogives from the following data and measure the median value. Verify it by actual calculations. [5 Marks]

Central size

5

15

25

35

45

Frequency

5

11

21

16

10

b) Complete the following distribution, if its Median is 2,600 and compute the value of Arithmetic Mean. [5 Marks]


Size

1000-1500

1500-2000

2000-2500

2500-3000

3000-4000

4000-5000

5000-6000

Total

Frequency

120

?

400

500

?

50

20

1500

4. a) What is the main difference between correlation analysis and regression analysis? [5 Marks]

b) In a multiple regression model with 12 independent variables, what are the degrees of freedom for error? Explain? [5 Marks]

5. a) Discuss what is meant by Quality control and quality improvement.
[5 Marks]

b) What are the limitations of a quality control charts? [5 Marks]

6. a) Suggest a more suitable average in each of the following cases:
[5 Marks]
(i) Average size of ready-made garments.
(ii) Average marks of a student.
b) State the nature of symmetry in the following cases: [5 Marks]
(i) When median is greater than mean, and
(ii) When Mean is greater than median

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