Reference no: EM13580688

1. Mention the characteristics of Statistics. Explain any two applications of Statistics.

2. Distinguish between primary and secondary data. What are the methods of collecting primary data?

3. Find Karl Pearson's correlation coefficient between the sales and expenses from the data given below:

Sales (Rs. Lakhs)	50	50	55	60	65	65	65	60	60	50
Expenses (Rs. Lakhs)	11	13	14	16	16	15	15	14	13	13

4. The incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will contract the disease?

5. Use chi-square test to test if the two attributes (Performance and Training) in the following table are independent. Test at 5% level of significance.

Performance				Training
Intensive		Good		Average		Total
Above Average	100		150		40		290
Average	100		100		100		300
Poor	50		80		150		280
Total                   250		330		290		870

6. Construct index numbers of price for the following data by applying:

i) Laspeyre's method

ii) Paasche's method

iii) Fisher's Ideal Index number

Commodity			Base year				Current year
Price		Quantity						Price         Quantity
A	2			8		4			6
B	5			10		6			5
C	4			14		5			10
D	2			19		2			13