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The Practice of Statistics for the AP Exam6th EditionDaren S. Starnes, Josh Tabor 2,673 solutions 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 4. as the sample size increase the standard error decreases--> better estimate of the population mean based off of the law of numbers What happens to the shape of the sampling distribution as sample size increases?In other words, as the sample size increases, the variability of sampling distribution decreases. Also, as the sample size increases the shape of the sampling distribution becomes more similar to a normal distribution regardless of the shape of the population.
Does shape change with sample size?Statistical procedures can estimate that from a single random sample. The shape of the sampling distribution depends on the sample size. If you perform the study using the same procedure and change only the sample size, the shape of the sampling distribution will differ for each sample size.
What happens to the shape of a sampling distribution of sample means as n increases quizlet?The shape of the distribution of the sample mean becomes approximately normal as the sample size n increases, regardless of the shape of the underlying population.
How does the shape of the T distribution change as the sample size increases quizlet?The shape of the t distribution changes with sample size. (So this means that there is a t distribution for every possible sample size.) As the sample size increases the t distribution becomes more and more like a standard normal distribution.
What happens as the size of the sample goes up quizlet?As the size of the sample goes up: So does confidence in its representativeness of the population. The more homogenous a population is, the more likely a sample will be representative of it.
How would increasing the size of the sample affect the shape of the curve?The increase in sample size increases the accuracy of the parametric values calculated from the samples and the distribution tends to approach a symmetric bell-shaped curve which is the shape of normal distribution.
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What happens to the shape of a sampling distribution as your sample size increases quizlet?
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