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

Calculating a weighted mean

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

Determining z-scores associated with certain probabilities from a standard normal probability distribution

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

Solving problems involving the sampling distribution of the sample mean (using the Central Limit Theorem) (part 1)

Solving problems involving the sampling distribution of the sample mean (using the Central Limit Theorem) (part 2)

Solving problems involving the sampling distribution of the sample mean (using the Central Limit Theorem) (part 3)

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

Discussing p-values

Explaining how to use p-values to determine whether or not to reject the null hypothesis of a hypothesis test

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 1)

Investigating the procedure for a two-sample (dependent) hypothesis test on a population mean difference (part 2)

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