Unit 4
The mean of a discrete random variable X, is the mean outcome for __________________________________.
Infinitely many trials.
The overall shape of the distribution is _______________________________. The larger the
sample size the closer the shape is to a ___________________.
Approximately normal, Normal Curve
If the P-Value is lower than the significance level, what do you do with the Null Hypothesis?
Reject it
What conditions need to be met to satisfy the Normal portion for performing inference?
Both populations are Normally Distributed
Both sample sizes are larger than 30 (CLT)
If one or both are smaller than 30, graph to check for no outliers or strong skewness
How do you find the expected counts in a Chi Square Test for homogeneity?
(row total)(column total)/table total
Two events are independent if they ____________________________________.
Do not influence one another
An important fact is that the ____________ of the sampling distribution does not depend on the size of the population.
Spread
What is the sign for "significance level"?
Alpha "α"
What conditions need to be met to satisfy the Random portion for performing inference if it is an experiment?
Randomly assign two groups
How many samples/variables are found in a Chi Square Test for homogeneity.
2+ Samples
1 Variable
P(A and B) = ________
0
Statistics have variability but very large samples produce ________ variability than small samples.
Less
In a two-sided hypothesis test, the probability of the event occurring given an original claim is called what?
P-Value
What conditions need to be met to satisfy the Independent portion for performing inference if it is sampling?
10% condition
How do you find the correct degrees of freedom in a Chi Square GOF test?
Subtract 1 from the number of categories
When two events have __________________________, we refer to them as mutually exclusive events.
No outcomes in common
______ represents the Population Standard Deviation
σ (sigma)
In a one-sided hypothesis test, the alternative hypothesis is always what?
Above or below that same value
What conditions need to be met to satisfy the Random portion for performing inference if it is sampling?
Two random samples
What is the alternative hypothesis for Chi Square GOF test?
The claimed distribution (context) is not true
The imitation of chance behavior, based on a model that accurately reflects the situation, is called a
________________________.
Simulation
______ represents the Population Mean (sometimes known, but most of the time, it is unknown)
M (Mu)
In a one-sided hypothesis test, the null hypothesis is always what?
=
Study designs that involve making two observations on the same individual, or one observation on each of two similar individuals, result in what?
Paired data
What is the null hypothesis for the Chi Square GOF test?
The claimed distribution (context) is true