Testing Testing 1-2-3
A teacher wants to know if her classes mean score on the AP Statistics exam is different than the national mean, which is 2.89. This is the statistical test you'd need.
What is a 1 sample T-Test for a mean?
This type of distribution requires a fixed number of trials, each observation to be independent, only two outcomes ("success" or "failure"), and same probability for each trial's success.
What is a binomial distribution?
When determining if you can REJECT THE HO, this greek letter's threshold tells you if the results are significant?!
What is alpha?
This sampling technique divides the population into subgroups based on a shared characteristic and then randomly selects from each subgroup.
What is stratified random sampling?
Given two independent events, A and B, this formula calculates the probability that both events occur.
What is P(A) * P(B)?
Does the parking lot have the same number of cars each weekday? Cars were tallied Monday, Tuesday, Wednesday, Thursday, and Friday. This is the statistical test you'd need.
What is a Chi Squared Goodness of Fit Test?
These are the three percentages from the Empirical Rule, which describe what percentage of data falls within 1, 2, and 3 standard deviations from the mean in a normal distribution.
What are 68% - 95% - 99.7%?
This is the symbol for sample proportion!!!!
What is p hat?!
This term refers to a procedure in an experiment where neither the participants nor the researchers know who is receiving the treatment and who is receiving the placebo.
What is double-blind?
Given two mutually exclusive events, A and B, this formula calculates the probability that either event A OR event B occurs.
What is P(A) + P(B)?
A hospital reported 5 C-section births out of 89 patients under the age of 38. The same hospital reported 9 C-section births out of 56 patients over the age of 38. This test should be used to see if there is a difference between the groups.
What is a 2 sample Z-test for proportions?
The difference between the binomial distribution and this other, similar, distribution, is that the number of trials is unknown.
What is the Geometric distribution?
This Greek letter’s the population symbol for measuring spread
What is sigma?
An airline wants to survey its customers, so it randomly selects 5 flights (out of 100s of flights) in one day and surveys every passenger on those flights. This is the type of sample that would be collected.
If P(A)=P(A|B) and P(B)=P(B|A), then we have this type of events.
What are independent events?
Is the racial distribution the same for UCLA and UCSD? 5000 students from each university were asked about their race. This is the statistical test you'd need.
What is Chi-Square Test for Homogeneity?
This distribution is commonly used to test whether observed frequencies differ from expected frequencies or to test independence in a contingency table.
What is a chi-square distribution?
This Greek letter is the main character when it comes to averages — the for real mean of the population.
What is mu?
This term describes a variable that is related to both the explanatory and response variables and can distort the results of an experiment.
What is a confounding variable?
Given two events, A and B, this formula calculates the probability that either event A OR event B occurs, accounting for the possibility that the events may not be mutual exclusive.
What is P(A) + P(B) - P(A and B)?
A track coach wants to see if her training is leading to improvement in her sprinters 100m sprint times. She runs a test to see if there is a difference between their times at the beginning of the season and after her training at the end of the season. This is the statistical test you'd need.
What is a Matched Pairs T-Test or 1 sample t-test for a mean difference?
As the degrees of freedom increase, this distribution becomes increasingly similar to the normal distribution, making it useful for small sample sizes.
What is the t-distribution?
This stat measures how many standard deviations the data point is away from the mean
What is a z-score?
In this type of design, two subjects with similar characteristics are grouped together, and each person in the group is randomly assigned to a different treatment to control for variability.
What is matched pairs?
This term refers to the probability of NOT being in group A.
What is the complement (of A)?