Use chi-square test to test if the two attributes

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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

Reference no: EM13580688

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