Let everything that has breath praise the LORD! Praise the LORD.  Psalm 150:6
The Joy of a Teacher is the Success of his Students.
 Samuel Dominic Chukwuemeka
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Samuel Dominic Chukwuemeka (SamDom For Peace) B.Eng., A.A.T, M.Ed., M.S
Condition 1: Simple Random Sample with Independent Trials. If sampling without replacement, N ≥ 10n. Verify that trials are independent: n ≤ 0.05N
Condition 2: Large sample size with at least 10 successes and 10 failures. np ≥ 10 and nq ≥ 10
To Find: q, μ_{p̂}, σ_{p̂}
To Find: μ_{p̂}, σ_{p̂, z, detailed P(z)}
To Find: p̂, μ_{p̂}, σ_{p̂, z, detailed P(z)}
To Find: σ_{p̂, detailed P(p̂)}



To Find: σ_{p̂, z, detailed P(p̂)}
To Find: σ_{p̂, z, p̂ }
The sampling distribution of p̂ is approximately normal if: for n ≤ 0.05N; npq ≥ 10
To Find: if normal or not, q, μ_{p̂}, σ_{p̂}



Condition 1: Simple Random Sample with Independent Trials. If sampling without replacement, N ≥ 10n. Verify that trials are independent: n ≤ 0.05N
Condition 2: Large sample size where n > 30 or N is normally distributed.
To Find: z, detailed P(z), P(x)
To Find: z1, z2, detailed P(z), P(x)
To Find: x̄, s, detailed P(x̄)
To Find: x̄, s, z, detailed P(x̄)



To Find: z, x̄
To Find: μ_{x̄} , σ_{x̄}