ALEKS for Business Statistics User's Guide and Access Code (Stand Alone for 2 semesters)

Table of Contents:

Descriptive statistics

Histograms and frequency polygons

Histograms for grouped data

Relative frequency polygons for grouped data

Mean

Weighted mean: Problem type 1

Weighted mean: Problem type 2

Median

Percentiles

Modes of a data set

Population standard deviation

Sample standard deviation

Interpreting relative frequency histograms

Cumulative relative frequency

Calculating relative frequencies

Probability

Counting techniques

Factorial expressions

Evaluating finite sums

Permutations and combinations: Problem type 1

Permutations and combinations: Problem type 2

Permutations and combinations: Problem type 3

Events and probability

Venn Diagrams: Problem type 1

Venn Diagrams: Problem type 2

Venn Diagrams: Problem type 3

Probability of events

Die tossing

Counting probability: Problem type 1

Counting probability: Problem type 2

Probability of the intersection of two events

Probability of the intersection and union of two independent events

Independent events and mutually exclusive events

Mutually Exclusive Events: Problem type 1

Mutually exclusive events: Problem type 2

Independent Events: Problem type 1

Independent events: Problem type 2

The curious die

Conditional probability

Elementary conditional probabilities

Intersection of events and conditional probability

Conditional probability of mutually exclusive events

Conditional probability of independent events

Law of total probabilities

Bayes' theorem

Random variables

Random variable function: Problem type 1

Random variable function: Problem type 2

Discrete and continuous random variables

Probability mass function

Probability distribution of a random variable: Problem type 1

Probability distribution of a random variable: Problem type 2

Marginal distributions of two discrete random variables

Product of two independent random variables

Probabilities of two random variables given their joint distribution

Conditional probabilities of two random variables given their joint distribution

Cumulative distribution function

Expectation and variance of a random variable

Calculating probabilities given the expectation

Linear transformations of expectation and variance

Distributions

Basics

Comparing means without calculation

Comparing variances without calculation

Fundamental distributions

Binomial expectation and variance

Binomial distribution: Problem type 1

Binomial distribution: Problem type 2

Standard normal probabilities

Z-scores of a standard normal distribution

Normal density functions

Normal probabilities

X-scores of a normal distribution

Mean and deviation of a normal distribution

Proportions in a normally distributed population

Student's distribution probabilities

Chi-square distribution probabilities

Fisher's distribution probabilities

Normal approximation to binomial

Normal approximation to binomial with continuity correction: Problem type 1

Normal approximation to binomial with continuity correction: Problem type 2

Central limit theorem

Central limit theorem: Problem type 1

Central limit theorem: Problem type 2

Central limit theorem and sample proportion

Inferential statistics

Confidence intervals

Selecting a distribution for inferences on population mean

Confidence interval for the population mean: Problem type 1

Confidence interval for population mean: Problem type 2

Confidence interval for population proportion

Confidence interval for population variance

Confidence interval for the difference in population means: Problem type 1

Confidence interval for the difference in population means: Problem type 2

Confidence interval for the difference of population proportions

Confidence interval for the ratio of population

variances

Hypothesis testing

Determining statistical hypotheses

Hypothesis test for population mean: Problem type 1

Hypothesis test for population mean: Problem type 2

Hypothesis test for population proportion

Hypothesis test for population variance

Hypothesis test for the difference in population means with independent samples: Problem type 1

Hypothesis test for the difference in population means with independent samples: Problem type 2

Hypothesis test for the difference in population means with paired samples

Hypothesis test for the difference of population proportions

Hypothesis test for the ratio of population variances

Anova, goodness of fit, and non-parametric tests

Goodness of fit

Contingency table

Analysis of variance

Signed test

Regression and correlation

Simple linear regression and correlation

Ordering scatter diagrams by increasing correlation coefficients

Calculating the correlation coefficient for bivariate data

Sketching a regression line

Calculating the regression line for bivariate data

Testing the null correlation of bivariate data

Testing the null slope of a regression line

Confidence interval for a value of the dependant variable

Wilcoxon signed-rank test

Multiple regression

Interpretating the regression coefficients

Identifying degrees of freedom

ANOVA table: Problem type 1

ANOVA table: Problem type 2

F test

t test

Interpreting t tests

Time series and quality control

Time series

Trend lines for yearly data

Seasonal indexes

Moving averages and forecasting

Ratio to moving average method

Exponential smoothing

Regression with seasonal indicators

Quality control

Interpreting a control chart

R charts

x-bar charts

p charts

c charts

Acceptance sampling

Estimating sigma from a R chart

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