VOCAB
What is a statistic?
A numerical summary of a sample.
What is the formula for calculating a z-score?
(Value - Mean) / Standard Deviation.
What is the Central Limit Theorem?
It describes a theoretical result as the sample size approaches infinity.
How do you access the data entry screen on a TI calculator?
Press 'STAT' and choose 'EDIT'.
What is an unbiased estimator?
An estimator that it does not systematically overestimate or underestimate the population parameter.
What is the formula for variance in a binomial distribution?
np(1-p), where n is the number of trials and p is the probability of success
What does the Law of Large Numbers highlight?
It states that in a large enough sample, the sample proportions will be normally distributed.
mean
STAT, EDIT, plug in data, STAT, CALC, press the 1st option
What is a biased estimator?
An estimator that systematically overestimates or underestimates the population parameter.
Standard of deviation of the sampling distribution of p̂
p multiplied by the value of 1 -p, all of it is divided by n and the entire procedure is square rooted.
Large counts condition
np≥ 10 and n(1-p)≥ 10
standard of deviation
STAT, EDIT, plug in data, STAT, CALC, press the 1st option
What is the sampling distribution for sample proportions?
The distribution of all possible sample proportions that could be obtained from samples of the same size taken
Sampling distribution of x̄ standard of deviation
standard deviation/ square root of n
What does the Confidence Interval Theorem say?
It provides a way to estimate the margin of error for a proportion based on sample size and variability.
normalcdf
2nd, VARS, press the second option
What is the sampling distribution of the sample mean x̄
Describes the distribution of values taken by the sample mean x̄ in all possible samples of the same size from the same population.
What is the formula for standard error?
(Standard deviation of sample) / sqrt(n), where n is the sample size.
The sampling distribution of x̄ will be approximately Normal when...
sample size is equal to or bigger than 30 and if the population distribution is Normal
InVnorm
2nd, VARS, press the third option