Vocabulary
The range surrounding a sample's response within which researchers are confident the larger population's true response would fall.
Margin of Error
A teacher wants to estimate the average number of hours her students sleep per night. She takes random sample of 30 students and calculates the mean and standard deviation
One Sample T-Interval for a population mean
Percentile % of context are less than or equal to value
On a six-sided dice, what is the probability of rolling two prime numbers in a row? Assume the dice is fair.
(4/6)(4/6)=16/36= 0.4444
What is this symbol?: ∑
To add up the values that are calculated
A type of probability sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected.
Simple Random Sample
A factory wants to compare the proportion of defective light bulbs from Machine A and Machine B. Random samples from both machines are tested.
Two sample z-test for proportions
Interpret 95% Confidence Level
If we take many, many samples of the same size and calculate a confidence interval for each, about confidence level % of them will capture the true parameter in context
If P (A∩Not B) = 0.1, and P (Not A ∩B) = 0.4, what is P(A∩B), given that the two events are independent of each other?
P (A∩B) = 0.1
What is the name of Unit 2?
Exploring Two-Variable Data
States that in a normal distribution, about 68% of the terms are within one standard deviation of the mean, about 95% are within two standard deviations, and about 99.7% are within three standard deviation.
Empirical Rule
A fitness coach records the number of pushups each athlete can do before and after a month-long training program to see if the program had an effect.
Matched Pairs T-Test
Z-Score
Value is z-score standard deviations above/below the mean
Lucas finds that 20% of players who take penalty kicks in soccer miss. Let X be the number of penalty kicks until a player scores. What is the probability that a player will miss 4 shots before he scores one.
(0.2)^4 x (0.8) = 0.00128
How many sections does Unit 6 have?
3 (6A, 6B, 6C)
The action of estimating or concluding something beyond the given data by assuming that existing trends will continue or a current method will remain applicable.
Extrapolation
A biologist records the fur color (white, brown, black) of rabbits in five different regions to see if fur color distribution differs by location
Chi Squared Test For Independence
Coefficient of Determination
About r-squared % of the variation in y-variable can be explained by the LSRL with x-variable
There are 50 poker chips in a container, 25 red, 15 white, and 10 blue. You draw a chip without looking 25 times, each time returning the chip to the container. What is the probability you draw more than 12 blue chips?
1 - BinomialCDF(n=25, p=.2, x=12) = 1 - .9996 = .0004
How many people in the U.S took the AP Statistics Exam in 2024?
In 2024, a total of 252,914 students in the U.S. took the AP Statistics exam.
A line graph that depicts cumulative frequencies.
Ogive
A statistician wants to determine if blood pressure can be predicted by sodium intake using a linear model. She collects data from 60 individuals and performs a significance test on the slope of the least-squares regression line.
Linear Regression T-Test For Slope
Standard Deviation of the Residuals
On average, the actual y-variable is typically about s away from the value predicted by the LSRL
15% of flights arrive early and 25% arrive on time. Additionally, 65% of flights are overbooked, and 72% are late or not overbooked. One flight will be selected at random. What is the probability that the flight selected will be late and not overbooked?
P (L ∪ Not O) = P(L) + P(Not O) - P (L ∩ Not O) -> .72 = .6 + .35 - X
X = .23
The first AP Statistics Exam was administered in...
May 1997