stats part 2 Flashcards
part/whole
sample
parameter= population
statistic= sample
statistics estimate the parameter
average amount of population in the sample
sample mean
POPULATION NOTATION
mean= m
standard deviation= o-
SAMPLE NOTATION
-
mean = x
standard deviation= S
the larger the sample size, the smaller the standard deviation (how evenly spread the data is and this is because randomization is increased with larger sample sizes)
if the sample size increases, the standard deviation decreases to narrower bell curve think science graph
Distribution of a statistic across things like # of samples
sampling distribution ex. bell curve
“mean of the mass”
average of sampling distribution
average of whole population
average of the sampling distribution
the greater sample size, the smaller standard error (more broad results)
while the standard deviation decreases as the sample size increases, the standard deviation of the sample means (standard error) is always less than the population standard deviation
the mean of the sample means culd be greater or less than the population mean theoretically if we have an infinite number of samples
the variation within the sample means is less than the variation within the populaion
averages have less variation than individual data values
intervals associated with confidence levels most commonly at 95%
Confidence Interval (CI)
the distance from the estimate to one end of the confidence interval
MOE
o-= the square root of p(1-p)/n
standard deviation formula