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the sample distribution of the sample means resembles a normal distribution no matter what the population distribution
1. As the size n of a simple random sample increases, the shape of the sampling distribution of x̄ tends toward being normally distributed.
2.as you increase the sample size the mean of your sample will be closer to the population mean
3. . as population standard deviation increases, the standard error increases
-the farther the the scores in
a population deviate from the mean in a population, the farther possible sample means can deviate from the values of the population mean
4. as the sample size increase the standard error decreases--> better estimate of the population mean
based off of the law of numbers