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Defining trend-methods of determining trend in time series

**Q1.**

**a.** Describe the characteristics of Statistics.

**b.** What are the components of Statistics? Give a brief explanation of each of the components.

**Q2.**

Dscribe the objectives of Statistical Average. What are the requisites of a good average?

**Q3.**

**a.** Mention the Characteristics of Chi-square test.

**b.** Two research workers classified some people in income groups on the basis of sampling studies. Their results are as follow:

Investigators Income groups Total

Poor Middle Rich

A 160 30 10 200

B 140 120 40 300

Total 300 150 50 500

Demonstrate that sampling technique of at least one research worker is defective.

**Q4.**

What do you understand by the term cost of living index? Discuss the methods of construction of cost of living index with an example for each.

**Q5.**

Define the term trend. Enumerate the methods of determining trend in time series

**Q6.**

The following data represent number of units of production per day turned out by 5 different workmen using different types of machines.

Workmen Machine type

A B C D

1 44 38 47 36

2 46 40 52 43

3 34 36 44 32

4 43 38 46 33

5 38 42 49 39

**i)** Test whether mean productivity is similar for the four different machine types.

**ii)** Test whether 5 men vary with respect to mean productivity.

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The numbers on above represent a sample of 50 data pairs in protein residue analysis. Within this case a presence of an antibody residue (the X-variable) was paired with the antigen residue (the Y-variable) in a try to find a good predictor