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Sampling distribution of sample means and t distribution

# Sampling distribution of sample means and t distribution -...

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Sampling distribution of sample means and t distribution.xls This sheet illustrates the example Prof. M.Vaisfeld on the pg. 2 of the handout #9 May 9'09 Sample Mean Range R Sample Mean Range R Sample Mean Range R Sample Mean Range R Sample Mean Range R (2, 2) 2 0 (4, 2) 3 2 (6, 2) 4 4 (8, 2) 5 6 (10, 2) 6 8 (2, 4) 3 2 (4, 4) 4 0 (6, 4) 5 2 (8, 4) 6 4 (10, 4) 7 6 (2, 6) 4 4 (4, 6) 5 2 (6, 6) 6 0 (8, 6) 7 2 (10, 6) 8 4 (2, 8) 5 6 (4, 8) 6 4 (6, 8) 7 2 (8, 8) 8 0 (10, 8) 9 2 (2, 10) 6 8 (4, 10) 7 6 (6, 10) 8 4 (8, 10) 9 2 (10, 10) 10 0 Sampling Distribution of Sample Means mean 2 1 0.04 3 2 0.08 4 3 0.12 5 4 0.16 6 5 0.2 7 4 0.16 8 3 0.12 9 2 0.08 10 1 0.04 6 2 (see the Sheet 2) Sampling Distribution of Sample Ranges R R 0 5 0.2 2 8 0.32 4 6 0.24 6 4 0.16 8 2 0.08 Table 1 . The Samples of Size n = 2 Derived from the Population {2, 4, 6, 8, 10} of Size N = 5. Table 2 . (f i - frequency, f i /25 - relative frequency) f i P(mean) = f i /25 µ x_mean = σ x_mean = Table 3 . (f i - frequency, f i /25 - relative frequency) f i P(R) = f i /25 1 2 3 4 5 6 7 8 9 0 0.05 0.1 0.15 0.2 0.25 Sample Distribution of Sample Means mean - 1 Probability fi/25 1 2 3 4 5 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Sampling Distribution of Ranges R

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Sampling distribution of sample means and t distribution -...

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