Statistical Methods
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Descriptive statistics (graphical displays)
Constructing a relative frequency distribution
Constructing a relative frequency histogram
Constructing a histogram using the Statdisk software
Descriptive statistics (numerical measures)
Determining measures of center for a set of data
Calculating a sample mean, median, mode, and midrange
Discussing the symmetry and skewness of a set of data
Measures of Variation for a set of data (part 1)
Measures of Variation for a set of data (part 2)
Measures of Variation for a set of data (part 3)
Discussing the Empiricial Rule
Discussing Chebyshev's Theorem
How to determine if a data value is unusually high or unusually low
Determining usual and unusual values for a given set of data
Calculating and interpreting a z-score for a specified data value
Counting principles
Illustrating the fundamental counting principle
Discussing the concept of n-factorial
Arranging n objects without replacement where certain objects are identical
Discussing permutations of n objects taken r at a time
Counting problem involving permutations
Discussing combinations of n objects taken r at a time
Fundamentals of probability
Discussing the concept of a probability
Calculating the probability of an event involving combinations
Calculating a probability involving flips of a coin
Discussing the complement rule for calculating probabilities
Calculating probabilities using the addition rule
Discussing conditional probability
Discussing the concept of conditional probability
Discussing the multiplication rule
Discussing independent events versus mutually exclusive events
Discrete probability distributions
Discussing the concept of a discrete probability distribution
Discussing the concept of the mean of a discrete random variable
Calculating the expected number of heads in three flips of a coin
Determining the expected amount of net winnings for a game of chance
Determining the expected amount of profit on a stock
Discussing the concept of the standard deviation of a discrete random variable
Discussing the concept of the binomial probability distribution
Calculating probabilities using the binomial probability distribution
Calculating a probability involving a binomial distribution
Discussing the mean and standard deviation of a binomial random variable
Continuous probability distributions
Discussing the concept of a continuous uniform probabiltiy distribution
Calculating probabilities using a standard normal probability distribution
Calculating a probability involving a standard normal random variable
Calculating a probability involving a nonstandard normal random variable
Determining x-values given a probability from a normal probability distribution
Central limit theorem
Discussing the Central Limit Theorem
Confidence intervals (one sample)
Discussing the concept of estimating the population proportion p (part 1)
Discussing the concept of estimating the population proportion p (part 2)
Discussing the concept of estimating the population proportion p (part 3)
Calculating a confidence interval to estimate a population proportion
Discussing the concept of estimating the population mean (part 1)
Discussing the concept of estimating the population mean (part 2)
Discussing a t distribution with "df" degrees of freedom (and the corresponding table)
Estimating the mean of a population with a confidence interval
Estimating the mean of a population with a confidence interval using a t-distribution
Sample size determinations (one sample)
Sample size considerations when estimating the population proportion p
Determining the minimum sample size needed to estimate a population proportion
Determining the minimum sample size needed to estimate a population mean
Determining the sample size needed to estimate a population mean
Hypothesis tests (one sample)
Discussing the structure for a hypothesis test
Discussing null and alternative hypotheses for hypothesis tests
Discussing test statistics (part 1)
Discussing test statistics (part 2)
Explaining type 1 errors and type 2 errors
Discussing rejection regions for a 1-sample hypothesis test on p
Writing the conclusion of a hypothesis test
Discussing a 1-sample hypothesis test on the population proportion p
Conducting a one-tailed hypothesis test on a population proportion (part 1)
Conducting a one-tailed hypothesis test on a population proportion (part 2)
Discussing the structure of a one-sample hypothesis test on a population mean
Conducting a one-tailed hypothesis test on a population mean
conducting a one-sample hypothesis test on a population mean
Confidence intervals and hypothesis tests (two samples)
Investigating the procedure for a two-sample (dependent) hypothesis test on a population mean difference (part 3) (The conclusion should have the word "insufficient" evidence rather than "sufficient" evidence. This was a "typo" on my part!)
Estimating a population mean difference for two (dependent) samples with a confidence interval
Conducting a one-tailed t-test given two dependent samples
Discussing a two (independent) sample hypothesis test to estimate the true mean difference (part 1)
Discussing a two (independent) sample hypothesis test to estimate the true mean difference (part 2)
Discussing a two (independent) sample hypothesis test to estimate the true mean difference (part 3)
Constructing a confidence interval (using independent samples) to estimate a difference in two population means (In the formula and notation for the critical value, the subscript should be alpha/2 instead of alpha. The actual critical value itself (2.000) is correct.)
Conducting a one-tailed t-test for two independent samples
Fundamentals of linear correlation and regression
Creating a scatterplot of data using free Winstats software
Discussing the estimated linear correlation coefficient (part 1)
Discussing the estimated linear correlation coefficient (part 2)
Discussing the estimated linear correlation coefficient (part 3)
Calculating the Pearson linear correlation coefficient for a bivariate set of data
Discussing the estimated linear regression line (part 1)
Discussing the estimated linear regression line (part 2)
Discussing the estimated linear regression line (part 3)
Discussing the estimated linear regression line (part 4)
Determining the estimated least-squares regression line