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How does increasing the sample size affect the estimated standard error?
Standard error decreases when sample size increases – as the sample size gets closer to the true size of the population, the sample means cluster more and more around the true population mean.
How does the sample size affect the estimate?
Because we have more data and therefore more information, our estimate is more precise. As our sample size increases, the confidence in our estimate increases, our uncertainty decreases and we have greater precision.
How does sample size affect error?
The relationship between margin of error and sample size is simple: As the sample size increases, the margin of error decreases. If you think about it, it makes sense that the more information you have, the more accurate your results are going to be (in other words, the smaller your margin of error will get).
How does sample size and standard error affect the distribution?
The standard error measures the dispersion of the distribution. As the sample size gets larger, the dispersion gets smaller, and the mean of the distribution is closer to the population mean (Central Limit Theory). Thus, the sample size is negatively correlated with the standard error of a sample.
How does increasing sample size affect Type 2 error?
Increasing sample size makes the hypothesis test more sensitive – more likely to reject the null hypothesis when it is, in fact, false. Thus, it increases the power of the test. And the probability of making a Type II error gets smaller, not bigger, as sample size increases.
What happens to the mean and standard deviation when the sample size decreases?
The population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from. Thus as the sample size increases, the standard deviation of the means decreases; and as the sample size decreases, the standard deviation of the sample means increases.
Does sample size have an effect on type 1 error?
Sample size does not determine the probability of Type I error.