Anything else Flashcards
(24 cards)
What is a hypothesis test
A test using samples or an experiment to determine whether or not to reject the hypothesis
What is the critical value
The first value to fall inside of the critical region
The acceptance region
The region where we accept the null hypothesis
The critical region
The region where we reject the null hypothesis
If two events are independent
One event happening does not affect the probability of the other happening.
P(A n B) = P(A) x P(B)
P(A|B)= P(A)
Discrete uniform distribution
When the probability of each outcome is the same
When can you use binomial distribution
There is a fixed number of trials, there are two possible outcomes, there is a fixed probability of success, trials are independent of each other
If two events are mutually exclusive
Two events cannot happen at the same time
P (A n B) = 0
P (A U B)= P(A) + P(B)
What is P(A|B)
It is the probability of A given that B has occurred.
P(A n B) / P(B)
How to find P(A U B)
P(A) + P(B) - P(A n B) or 1 — P(A’ n B’)
When can you use normal distribution
When n is large (n>50 usually)
When the p-value is close to 0.5
Compare box plots/cumulative frequency
Talk about the range, the IQR or the median.
When do use bar charts and when to use histograms
Bar charts for discrete data with frequency on y-axis.
Histograms for continuous data, frequency given by area of bar with a possible scale factor k
Restriction on pmmc
┃r┃< 1
An experiment (probability)
A repeatable process that gives rise to a number of outcomes
An event (probability)
A set of one or more of the outcomes
A sample space (probability)
The set of all possible outcomes
Measures of central tendency
Mode, Mean, Median
Measures of location
mode, mean, median, minimum, maximum, percentiles
Measures of spread
Range, Standard deviation, Variance, IQR
What to do with mass and weight in mechanics
With mass you multiply it by gravity for the downward force to get ‘mg’. With weight you do not multiply with gravity and get ‘m’
What is NE, SE, NW, SW in vector form
NE (i = j), SE (i = -j),
NW (-i = j), SW (-i = -j)
percentages with standard deviations (normal distribution)
All values involve a +- of the mean
68% is within one standard deviation of the mean
95% is within two standard deviations of the mean
99.7% is within 3 standard deviation of the mean
Explanatory variable and Response variable
Explanatory is the independent variable and response is the dependent variable