Data Collection
When some groups in the population are left out of the process of choosing a sample
Undercoverage
Independent Events
This measure of center is more resistant to outliers than the mean.
Median
What are the 4 C's?
Choose, Check, Calculate, Conclude
Does Correlation = Causation?
NO!
A common form of blocking for comparing just two treatments.
Matched pairs
When two events cannot occur at the same time?
What is the Z-Score formula?
(Value - Mean) / SD
What is the procedure for the following scenario:
"Construct and interpret a 90% confidence interval for the proportion of women in the United States who do not feel that they get enough time for themselves."
One Sample Z-Interval for p
What is the interpretation structure for describing the mean?
After many, many groups of n-trials, the average number of successful events is the mean value.
Neither the subject nor those who measure the response variable know which treatment a subject received.
Double-blind Experiment
The probability Jared Rabina gets a goal in lacrosse is 0.56. How would you interpret the probability of Jared's shot being a goal?
After many, many shots taken, the percent Jared scoring a goal approaches 56% in the long run.
What is name of the value after you square the standard deviation?
What is the procedure for the following scenario:
Construct and interpret a 99% confidence interval for the true mean difference (Version A – Version B) in final exam scores for Physics students in this district.
One Sample Z-interval for mean difference
When creating histograms, bar graphs, or other that display data, what should the y-axis always start at?
0
The population is divided into groups. Some groups are randomly selected and all individuals in the chosen groups are sampled
Cluster Sampling
A roulette wheel has 38 pockets numbered 1through 36 as well as two pockets labeled “0” and “00”. There are 18 red pockets and 18 black pockets, and 2 green pockets (‘0’ and ‘00’). To play roulette, a metal ball is spun around the wheel and lands inside one of the pockets.
What is the probability that the ball lands in a pocket that contains the number ‘2’
13/38 = .3421 = 34.21%
What does each letter of SOCV and DUFS stand for?
Shape, Outliers, Center, Variability
Direction, Unusual Features, Form, Strength
Random Sampling, 10% condition, CLT
What does BINS stand for?
Binary, Independent, Number of Trials, Success probability
Eli Kassoff wants to divide the Washington Commanders fans into two groups: bandwagoners and others. We then take random samples from each group. What sampling method occurred?
Stratified Random Sample
Write out the formula/rule for the following scenario:
Given that a person has an education level of a Bachelor’s degree, what is the probability they identify as liberal?
P(Liberal & Bachelor) / P (Bachelor)
How to identify outliers for univariate data
1.5 IQR Rule
High Outlier > Q3 + 1.5*IQR
Low Outlier < Q1 - 1.5*IQR
In one study, a random sample of 12 men had a mean of 7.95 days and a standard deviation of 6.2 days, and a random sample of 19 women had a mean of 7.1 days and a standard deviation of 5.0 days. The sample data will be used to construct a 95 percent confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.
Have the conditions been met for inference with a confidence interval?
No, fails CLT. We would need to draw a dotplot to see if it normal, if not, we proceed with caution
Given S = 4.11, interpret the value.
The actual y-variable, is typically about 4.11 units away from the number predicted by the LSRL