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Assumptions and Application of T Distribution
Assumptions of t distribution
1. The sample observations are random
2. Samples are drawn from general distribution
3. The size of sample is thirty or less n ≤ 30
Application of t distribution
- Estimation of population mean from small samples
- Test of hypothesis concerning to the population mean
- Test of hypothesis concerning to the difference among two means
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
Express the product of -9p3r and the quantity 2p - 3r in simplified form. The translated expression would be -9p3r(2p - 3r). Noticed that the key word product means multiply.
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