What is the purpose of inferential statistics
lets us make conclusions about a larger population based on data from a smaller sample
What are 2 tests we can use to test if a variable has a normal distribution
histogram
box plot
How many scores on a normal distribution fall above the mean of 0 and below
50%
what percentage of scores fall between the mean and one standard deviation above or one standard deviation below
34%
what percentage of scores fall between -1 and +1 SD
68%
what percentage of scores fall between -2SD and +2SD from the mean
96%
Why do distributions of score in the behavioural and social sciences typically follow a normal curve
central limit theorem
What is the central limit theorem
if you take many random samples from a population and calculate their means those means will form a bell shaped distribution even if the original population is not normal
it means that sample means behave normally and predicatbaly even when the population does not
matehematical principle that the distribution of the sums (or means) of scores taken at random from any distribution of individuals will tend to form a normal curve
what is the empirical rule
68-95-99.7 rule
68% of the scores fall within one standard deviation of the mean
95% of the scores fall within 2 standard deviations of the mean
99.7% of the scores fall within 3 standard deviations of the mean
what pecentage of scores on a normal curve are between 1 and 2 SD above the mean
14%
what is the percentage of scores between +/-2 SD and +/-3 SD
2%
why are true random samples difficult to obtain
it is impossible to obtain a complete list of a population
not everybody selected agrees to participate
can be costly to track everyone down
what is a biased sample
when one or more parts of the population are favored over others
what are two types of biased sampling
convenience
voluntary response
What are three types of random sampling techniques
stratified random sample
multistage sampling
simple random sampling
what is stratified random sample
random sampling technique
take a random sample divide it into strata of similar people and take a random sample from each strata
what is a multistage sample
random sampling technique
go through different stages to find your sample
ex. if you have 3 groups stage one would be picking a agroup. stage 2 would be to d another SRS
could use a random digits table to get your sample
what is a simple random sample
each individual has an equal chance of being surveyed
what is probability
expected relative frequency of a particular outcome
Without using a normal curve table, about what percentage of scores on a normal curve are (a) between the mean and 2 SD above the mean (b) below 1 SD above the mean and (c) above 2 SD below the mean
a. 48%
b. 84%
c. 98%