probability and samples

Question 1

sampling error

Answer 1

the discrepancy between a sample statistic and a population parameter

Question 2

distribution of sample means

Answer 2

the collection of sample means for all the possible random samples of a particular size (n) that can be obtained from a population

Question 3

sampling distribution

Answer 3

a distribution of statistics obtained by selecting all the possible samples of a specific size from a population

Question 4

central limit theorem

Answer 4

for any population with mean μ and standard deviation σ, the distribution of sample means for sample size n will approach a normal distribution with a mean of μ and a standard deviation of σ/(√n) as n approaches infinity

Question 5

standard error of X̄ (σvX̄)

Answer 5

the mean of the distribution of sample means (equal to μ)

Question 6

expected value of X̄

Answer 6

standard deviation of the distribution of sample means

Question 7

law of large numbers

Answer 7

the larger the sample size (n), the more probable that the sample mean will be close to the population mean