Chapter 7 Flashcards
Population Mean
Population Standard Deviation
Standard Error of the Mean
Finding Z for the Sampling Distribution of the Mean
Finding how a sample mean, x̅, differs from the population mean. By substituting x̅ for x, µx̅ for µ, and σx̅ for σ in the equation for finding Z, you get the following:
Finding x̄ for the Sampling Distribution of the Mean
Sample Proportion
Standard Error of the Proportion
Finding Z for the Sampling Distribution of the Proportion
Central Limit Theorem
As the sample size gets large enough, the sampling distribution of the mean is approximately normally distributed. This is true regardless of the shape of the distribution of hte individual values in the population.
sampling distribution of the mean
the distribution of all possible sample means if you select all possible samples of a given size
sampling distribution of the proportion
follows the binomial distribution when sampling with replacement.
However, you can use the normal distribution to approximate the binomial distribution when
nπ and n(1 - π) are each at least 5
unbiased
the sample mean is unbiased because teh mean of all the possible sample means (of a given sample size, n) is equal to the population mean, µ.