Math Final Exam
Binomial: n trials with s successes and f failures
Possion: Number of events that are to occur in a period of time
Hypergeometric: population contains M successes and M-N failures probability of exactly k successes in a random sample n.
Continuous probability distributions are: Measured under a curve, and probabilities of a specific point are 0
Normal Distribution to Standard Distribution: z= x-u/ standard deviation
z<a: Value in table
a<z: Complement of value in table
c<z<d: Difference of the two values.
Cr: no order
Pr: Order matters
When creating a sample distribution: 1. find how many combinations, then take all their sum/mean/ect. and then the probability.
Benefits of the central limit theorem: 1. More accurate and Reliable, 2. Inferences can be made about populations based on just samples.
To get a wider confidence interval: Increase the confidence coefficient, increase the standard deviation, and decrease the sample size.
Population: u mean, o Standard deviation, p proportion
Sample: -x mean, s standard deviation, ^P proportion
a/alpha: when you reject the null hypothesis when you shouldn’t have
B/beta: when you fail to reject the null hypothesis when you should have.
If the p-value is less than a then you: reject the null hypothesis
Hypothesis testing steps:
find hull and alternative hypothesis
Find rejection region
Find test statistic
find p -value
Get results
Find margin of error and point estimates
Find confidence interval
Binomial: n trials with s successes and f failures
Possion: Number of events that are to occur in a period of time
Hypergeometric: population contains M successes and M-N failures probability of exactly k successes in a random sample n.
Continuous probability distributions are: Measured under a curve, and probabilities of a specific point are 0
Normal Distribution to Standard Distribution: z= x-u/ standard deviation
z<a: Value in table
a<z: Complement of value in table
c<z<d: Difference of the two values.
Cr: no order
Pr: Order matters
When creating a sample distribution: 1. find how many combinations, then take all their sum/mean/ect. and then the probability.
Benefits of the central limit theorem: 1. More accurate and Reliable, 2. Inferences can be made about populations based on just samples.
To get a wider confidence interval: Increase the confidence coefficient, increase the standard deviation, and decrease the sample size.
Population: u mean, o Standard deviation, p proportion
Sample: -x mean, s standard deviation, ^P proportion
a/alpha: when you reject the null hypothesis when you shouldn’t have
B/beta: when you fail to reject the null hypothesis when you should have.
If the p-value is less than a then you: reject the null hypothesis
Hypothesis testing steps:
find hull and alternative hypothesis
Find rejection region
Find test statistic
find p -value
Get results
Find margin of error and point estimates
Find confidence interval