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Statistics Unit 3

Unit 3 Sampling Distribution of sample mean

The sampling distribution of a sample statistic x is the probability distribution of x across all possible samples taken from the population.
The sampling distribution of a sample statistic is determined by the following factors: •frequency distribution of the variable of interest in the entire population •random sampling method to be used •size of the sample to be taken
In order to make inferences (probabilistic statements) about the value of some population parameter, we need to know the sampling distribution of the sample statistic used as a point estimator.
When the sampling distribution is Gaussian normal, the knowledge of two parameters is sufficient: •expected value • standard deviation
A finite population is treated as infinite if n/N<0.05
Example: What is the probability that a simple random sample of 30 applicants will provide an estimate of the population mean SAT score that is within 10 of the actual population mean u ? Step 1: Calculate the z-score at the upper endpoint of interval. S2: Find the area under curve to the left of upper endpoint. S3,4 repeat the same but from the other side S5: Cal area under curve between lower and and upper endpoints of interval
Created by: NikaKirillova
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