Probability
What is the Probability of someone getting 6 two times in a row on a dice?
(1/6)2 or 0.277
How do you find mean for population and sample?
(Sum of all values in population)/(Population Size)
(Sum of all values in Sample)/(Sample Size)
How can someone find Mean, Standard deviation, N, Min, Max, Q1, Q3, Median of one list of numbers on a caclulator ?
One-Variable Statistics
The p-value represents the probability that the Null Hypothesis is true
False.
How does a Bimodal Distribution look like?
More than one "Peak" in the histogram almost like two different histograms combined into one.
A bag contains 7 blue marbles 6 green marbles and 3 yellow marbles. What is the probability of randomly selecting a yellow marble?
3/16 or 0.18
What is the Formula for Margin of Error?
Z*ơ /sqrt(n)
ơ= Population Standard Deviation
N= Sample Size
Z= Critical Value
If we gather data about means of something what interval do we use?
T-interval
Correlation=Causation
False.
What is Multimodal?
When there are two or more "peaks" in the data which are called Modes. This is why it's called "Multimodal"
A big candy jar contains 3 red, 5 blue and 8 green M&M'S. If Jack randomly takes out one M&M without replacement, what is the probability that the M&M is red?
3/15 or 0.2
What is the Formula for Chi Square Test of Independence
x2=(Observed Value-Expected Value)/(Expected Value)
What are the Conditions for a T-interval?
Random Sample
Independence
N>30
Sample size should be reasonably symmetric with few to none outliers.
In a Hypothesis test, The Null is typically the one that is being supported
False.
Normal Distribution
David has a Jar of marbles. In the jar there are 7 Blue Marbles 10 Red Marbles and 3 Green Marbles. If he randomly takes 2 Marbles out of the Jar without replacement what is the probability that both of the Marbles are Red?
(10/20)(9/19) or 0.2368
What is the formula for confidence interval of slope?
b± t*SE(b)
b=Slope of Regression line
t=Critical value of t-distribution
SE(b)= Standard Error of Slope
What is 2 Var Stats Used for?
When you have 2 list of data and want to find Mean, Standard deviation, N, Min, Max, Q1, Q3, Median
A Type II error occurs when we incorrectly fail to reject the Null.
True
This Distribution is often used when the Population Standard Deviation is unknown
T-Distrubution
Tom loves when there are different colors, so one day he decides to test out his luck. He gets a jar with 10 Green balls, 7 Red balls and 3 Blue balls and he randomly takes out 3 balls from the Jar without replacement. What is the probability that all 3 Balls are different colors?
40/(20*19*18)=0.037
What is the Formula for Chi Square Goodness of fit test?
x2=(sum of all categories)(O-E)^2/E
O= Observed Frequency
E= Expected Frequency
t=(x̄-μ)/(s/sqrt(n))
x̄= Sample Mean
μ= Predicted Population mean
s= Sample standard deviation
n= Sample Size
(coefficient of determination) R2 can be negative
False
It is a measure of variance and ranges from 0 to 1
A term which is used to describe when the data follows one side of the tail.
Skewed/Skewness