What is sampling error?
if from an experiment subjects should have been randomly selected, if from a survey sample should be a simple random sample or some other unbiased approach
What is the randomization assumptions?
n
What is the symbol for the sample size?
geompdf/geomcdf
n x p
What is the formula for the mean of a binomial distribution?
the variability we expect to see from one random sample to another
The sample size, n, must be no larger than 10% of the population
What is the 10% condition?
z
# of successes in n trials-- 2 parameters- n,p
What is a binomial model?
Because we can never see all possible samples, we often use a model as a practical way of describing the theoretical sampling distribution
What is a sampling distribution model?
Different random samples give different values for a statistic -- distribution of statistics over all possible samples
What is a sampling distribution?
The sampled values must be independent of each other.
What is the independence assumption?
p
What is the symbol for probability of success?
(n, p, x)
binompdf/cdf
SD
What is Standard Deviation?
states that the sampling distribution model of the sample mean (and proportion) from a random sample is approximately Normal for large n, regardless of the distribution of the population, as long as the observations are independent
What is the Central Limit Theorem?
sample size has to be big enough so that both np (number of successes) and nq (number of failures) are at least 10
What is the success/failure condition?
q
What is the symbol for the probability of failure?
to find the sum of probabilities
What is CDF?
a numerical value determined by the entire population and is assumed that the value is fixed, unchanging and unknown.
What is a Parameter?
an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme
What is a normal distribution?
The sample size, n, must be large enough.
What is the sample size assumption?
^p
What is the symbol for sample proportion?
# of trials until first success-- 1 parameter-p
What is a geometric model?
√npq
What is the formula for the SD of a binomial distribution?