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Sampling & Experiments
Interpretations
Important Things You May Have Forgotten
Probability Rules!
Calculator Commands
100

Required to generalize to the entire population.

What is random sample.

100

mu

What is the population mean?
100
How to identify outliers for univariate data
What is Q1 - 1.5(IQR) and Q3 + 1.5(IQR)?
100
The rule for finding the probability of rolling a fair die three times and getting three fours.
What is P(rolling three 4s) = P(4)*P(4)*P(4) = P(4)^3?
100

The correlation coefficient between L1 and L2

What is STAT -> STATCALC -> LinReg(a+bx) L1, L2?

200
A common form of blocking for comparing just two treatments.
What is matched pairs?
200

p-hat

What is the sample proportion?

200
The expected value of a discrete random variable
What is the mean of the random variable found by summing the products of the values of x and their repsective probabilities?
200

Rule for events that are not mutually exclusive.

P(A) + P(B) - P(A and B)

200

The proportion of values between 58 and 70 in a dataset that is approx normal with a mean of 67 and a standard deviation of 9.

What is DIST -> normalcdf( lower = 58, upper = 70, mean = 67, sd = 9)?

300
When some groups in the population are left out of the process of choosing a sample
What is undercoverage?
300
A z-score of -3.45
What is "The data value is 3.45 standard deviations below the mean"?
300

The difference between Geometric and Binomial Distributions.

What is a set number of trials, rather than trials until the event occurs.

300
The rule for finding the probability of a female given that they are an AP Stats student.
What is P(Female|AP Stats Student) = P(Female AP Stats Student)/P(AP Stats Student)
300

Ten random integers from 1 to 100.

What is  PRB -> Random - > RantInt( min:1, max:100, number:10)

400
The population is divided into groups. Some groups are randomly selected and all individuals in the chosen groups are sampled.
What is cluster sampling?
400
The slope in the least-square regression line, y = 15 - 4x
What is "For every one unit increase in the explanatory variable, there is on average a 4 unit decrease in the reponse variable"?
400
The standard deviation of the difference between two random variables.
What is the square root of the sum of the variances of the two random variables?
400
The rule for finding the probability of obtaining the first success on the 5th trial.
What is P(X=5) = p(1-p)^4
400
Boxplot

Data -> Quick Graph -> Plot Type - > Boxplot

500
The effects of two variables on the response cannot be distinguished from each other.
What is confounding?
500

95% Confidence Level

If we take many samples and construct 95% Confidence intervals for each we would expect 95% of the confidence intervals to capture the true parameter.

500
The mean and standard deviation of the sampling distribution of sample means
What is the mean of the sampling distribution of sample means is equal to the population mean and the standard deviation of the sampling distribution of sample means is equal to the population standard deviation divided by the square root of the sample size?
500
The rule for finding 10 successes in 15 trials.
What is P(X=10) = (15 C 10)*p^10*(1-p)^5
500

Adjusting the bin width on a histogram

What is WINDOW -> Xscl = binwidth?