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The F Distribution
The F distribution is the distribution of the ratio of 2 random variables. Both random variables have yet another distribution, called the c2 Distribution. The degrees of freedom of the numerator is n1 and that of the denominator is n2. We will come across this distribution while studying Regression.
Example
Consider the F distribution with degrees of freedom 2 in the numerator and 13 in the denominator. What is the area under the curve, right of 3.81?
From the tables, this area equals 0.05. (Tables are given in the appendix.)
The ratio between the length and breadth of a rectangular field is 11:7. The cost of fencing it is Rs. 75,000. Find the dimensions of the field
Assumptions and Application of T Distribution Assumptions of t distribution 1. The sample observations are random 2. Samples are drawn from general distribution 3.
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(e) Solve the following system of equations by using Matrix method. 3x + 2y + 2z = 11 x + 4y + 4z = 17 6x + 2y + 6z = 22
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