SAMPLING DISTRIBUTION WHEN SEEKING THE MEAN: Shape: as sample size increases the shape becomes more symmetric, Mean: want it to be as close as possible to the true parameter (the Population Mean), Standard Deviation: as sample size increases the SD decreases, To find the mean., To find the standard deviation., SAMPLING DISTRIBUTION WHEN SEEKING THE PROPORTION: Shape: .2 (Skewed right); .5 (Symmetric); .9 (Skewed left), Mean: stays approximately the same as the Population Mean, Standard Deviation: as sample size increases, the proportion increases the SD decreases, Formula to find the mean., Formula to find the standard deviation., SAMPLING DISTRIBUTION RULES PERTAINING TO THE MEAN: Want Normal Distribution, Sample size must be greater than or equal to 30., SAMPLING DISTRIBUTION RULES PERTAINING TO PROPORTION: Must have 10 Successes and 10 Failures, Sample size must be large, NORMAL DISTRIBUTION: If n ≥10 successes and failures., Shape normal, n ≥30 = Central Limit Theorem, SKEWED DISTRIBUTION: If n ≤10 failures. Formula to calculate the failures., Shape skewed, If n ≤10 successes. Formula to calculate the successes.,

Unit 5 - Sampling Distribution

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