Descriptive Statistics
The standard deviation is the square root of this measure of dispersion.
What is variance?
This is why if P(A) = .65 and P(B) = .45, then A and B cannot be mutually exclusive.
What is because P(A) + P(B) > 1, which means P(A ∩ B) > 0?
What is monotonicity?
If the critical value is 1.65 and the t test statistic is 1.56, then this is the conclusion of the test.
What is fail to reject the null hypothesis?
This is the difference between something being random and something being arbitrary.
What is random implies there is no bias in choosing something randomly versus there being no rationale/reasoning used in choosing something arbitrarily?
If a sample is collected by surveying every fifth person on the list from the population of interest, this is the sampling method used.
What is systematic sampling?
If a coin is flipped 100 times, this is the probability of it landing on heads at least 60 times.
What is 2.84%?
This is how to calculate Spearman's rank correlation coefficient using the graphing calculator.
What is enter the ranks for each variable in a separate list and use a linear regression model to calculate Pearson's correlation coefficient using the ranks rather than the data values themselves?
This is why you don't need to enter the expected values into the matrix in the calculator of a chi-squared test for independence.
What is because the calculator will create that for you?
This suite was written in 1874 by Russian composer Modest Mussorgsky.
What is Pictures at an Exhibition?
This is how to calculate the relative frequency for a value or class from its frequency.
What is divide the frequency of that value or class by the sample size?
If the distribution of the amount of water filled in bottles from a factory is distributed normally with a mean of 1.12 ml and a variance of 0.0016, this is the probability of selecting one filled with more than 1.15 ml.
What is 22.7%?
Since the existence of a correlation does not necessarily mean there is a causal relationship, this is the only way to verify a causal relationship.
What is a controlled experiment?
This is the difference between a one-tailed test and a two-tailed test.
What is in a one-tailed test, the alternative hypothesis is one direction (one population mean is either specifically greater than or specifically less than the other population mean) while in a two-tailed test, the alternative hypothesis is just that the two population means are not equal to each other?
As of April 2025, this is the number of television series produced by or involving the global media company Shondaland.
What is 13?
In a distribution that is skewed to the right, this is typically the order in magnitude of its three measures of central tendency.
A card is randomly taken out of a standard 52-card deck. Without replacement, another card is then taken out of the deck. This is the probability that one of the cards is a 10 or a face card and the other card is an Ace (it does not matter in which order).
What is 32/663?
What is 4.83%?
What is no because this would be an extrapolation due to the model being limited to data from high school students?
This is the meaning of a p-value for a 2-sample t-test.
What is the probability of getting the given difference in sample means or one more extreme provided that the null hypothesis is true?
This is historically a hypothetical substance that was believed to fill space and transmit light as well as other electromagnetic waves.
What is aether?
This is the difference between a boxplot and a modified boxplot.
What is outliers are denoted with asterisks rather than being in the whiskers in modified boxplots?
If the distribution of heights of a population of penguins, distributed normally, has a mean of 115 cm and a standard deviation of 5 cm, in a sample of 20 of the penguins, this is the probability of at least 5 of them being at least 120 cm tall.
What is 20.2%?
If four values are tied for the second place rank from the data set, this is how to approach ranking them.
If two samples of tree heights, each from a different population, are being compared in a two-sample t-test to determine if they are different, with the first sample, with 40 trees, having a mean of 30 ft and a standard deviation of 10 ft, and the second sample, with 50 trees, having a mean of 35 ft and a standard deviation of 8 ft, then, at the 1% significance level, this is the conclusion of the test.
What is, since p ≈ 0.00992, at the 1% significance level, there is sufficient evidence to reject the null hypothesis and thus accept the alternative hypothesis that the two populations of trees have different average heights?
This is the idea that given any collection of sets, with each set containing at least one element, that it is possible to construct a new set by choosing a single element from each of the sets, even for an infinite collection of sets.
What is the Axiom of Choice?