Edexcel S2 Maths
Terms in this set (21)
a collection of all individuals or items
a random variable that is a function of a known observation from a popluation, including no unknown quantities. A quantity calculated solely from the observations in a sample
where every member of the population is investigated
an individual member or element of the population or sampling frame
a list of all the sampling units or all the population
if all possible samples are taken, then the values of a statistic being investigated and the associated probablities is a sampling distribution
a population parameter proposed by the null hypothesis compared with an alternative hypothesis
the hypothesis that we assume to be correct unless proven otherwise
it indicates the value of the population parameter if the null hypothesis is shown to be wrong
the range of values in the region where the test is significant that would lead to the rejection of the null hypothesis
the probablity of incorrectly rejecting the null hypothesis
Assumptions for Binomial
Occurrences are independent.
The probability of each outcome remains constant.
Two distinguishable outcomes.
Fixed number of trials.
Assumptions for Poisson
Events occur singly.
The rate remains constant.
Events are independent.
Binomial approximated to Poisson
n is large.
p is small.
Mean is near to the variance.
Binomial approximated to Normal
n is large.
p is close to 0.5.
Poisson approximated to Normal
Lambda is large.
A sample instead of a census
A census instead of a sample
Normal is continuous, whereas poisson and binomial are discrete.