Introduction to statistics i - stat 213 - university of calgary -

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Preface for stats 213 -- university of calgary -- fall 2015

0.1 About Introductory Statistics

0.2 Pedagogical foundation and features

0.3 Statistics labs

0.4 About our team

0.5 Senior contributing authors

0.6 Contributors

0.7 Sample ti technology

1 Review exercises (ch 3-13)

2 Practice tests (1-4) and final exams

4 Group and partner projects

5 Solution sheets

6 Mathematical phrases, symbols, and formulas

7 Notes for the ti-83, 83+, 84, 84+ calculators

Sampling and data

1 Definitions of statistics, probability, and key terms

2 Data, sampling, and variation in data and sampling

3 Frequency, frequency tables, and levels of measurement

4 Experimental design and ethics

5 Data collection experiment

6 Sampling experiment

Descriptive statistics

1 Stem-and-leaf graphs (stemplots), line graphs, and bar graphs

2 Histograms, frequency polygons, and time series graphs

3 Measures of the location of the data

5 Measures of the center of the data

6 Skewness and the mean, median, and mode

7 Measures of the spread of the data

8 Descriptive statistics

Linear regression and correlation

1 Linear equations

2 Scatter plots

3 The regression equation

6 Regression (distance from school)

7 Regression (textbook cost)

8 Regression (fuel efficiency)

Probability topics

2 Independent and mutually exclusive events

3 Two basic rules of probability

4 Contingency tables

5 Tree and venn diagrams

6 Counting rules - university of calgary - base content - v2015

7 Probability topics

Discrete random variables

1 Probability distribution function (pdf) for a discrete random variable

2 Mean or expected value and standard deviation

3 Binomial distribution - university of calgary - base content - v2015

4 Geometric distribution - university of calgary - base content - v2015

5 Hypergeometric distribution - university of calgary - base content - v

6 Poisson di - university of calgary - base content - v2015

7 Discrete distribution (playing card experiment)

8 Discrete distribution (lucky dice experiment)

Continuous random variables

1 Continuous probability functions

2 The uniform distribution

3 The exponential distribution

4 Continuous distribution

The normal distribution

1 The standard normal distribution

2 Using the normal distribution

3 Normal distribution (lap times)

4 Normal distribution (pinkie length)

The central limit theorem

1 The central limit theorem for sample means (averages)

2 The central limit theorem for sums

3 Using the central limit theorem

4 Central limit theorem (pocket change)

5 Central limit theorem (cookie recipes)

Confidence intervals

1 A single population mean using the normal distribution

2 A single population mean using the student t distribution

3 A population proportion

4 Confidence interval (home costs)

5 Confidence interval (place of birth)

6 Confidence interval (women's heights)

Hypothesis testing with one sample

1 Null and alternative hypotheses

2 Outcomes and the type i and type ii errors

3 Distribution needed for hypothesis testing

4 Rare events, the sample, decision and conclusion

5 Additional information and full hypothesis test examples

6 Hypothesis testing of a single mean and single proportion

Source: OpenStax, Introduction to statistics i - stat 213 - university of calgary - ver2015revb. OpenStax CNX. Oct 21, 2015 Download for free at http://legacy.cnx.org/content/col11874/1.3

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