Statistics i - math1020 - red river college - version 2015 revision

OpenStax

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Preface -- rrc math1020 adaptation -- version 2015 revision a

0.1 About Introductory Statistics

0.2 Coverage and scope

0.3 Pedagogical foundation and features

0.4 Statistics labs

0.5 About our team

0.6 Senior contributing authors

0.7 Contributors

1 Appendix a: solution sheets

2 Appendix b: mathematical phrases, symbols, and formulas

4 Appendix e: solution sheets -- rrc math1020

Sampling and data

1 Definitions of statistics, probability, and key terms

2 Data, sampling, and variation in data and sampling -- rrc math 1020

3 Frequency, frequency tables, and levels of measurement

4 Ethics -- rrc math 1020

5 Data collection experiment

6 Sampling experiment

Descriptive statistics

Introduction -- descriptive statistics -- rrc math1020

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

2 Histograms, frequency polygons, and time series graphs -- rrc math 102

3 Measures of the location of the data -- rrc math 1020

4 Box plots -- rrc math 1020

5 Measures of the center of the data -- rrc math 1020

6 Skewness and the mean, median, and mode -- rrc math 1020

7 Measures of the spread of the data -- rrc math 1020

7.1 The standard deviation

7.2 The standard deviation provides a measure of the overall variation in

7.3 The standard deviation can be used to determine whether a data value is

7.4 Calculating the standard deviation

7.5 Formulas for the sample standard deviation

7.6 Formulas for the population standard deviation

7.7 Sampling variability of a statistic

7.8 Explanation of the standard deviation calculation shown in the table

7.9 Standard deviation of grouped frequency tables

7.10 Comparing values from different data sets

7.11 References

7.12 Chapter review

7.13 Formula review

7.15 Bringing it together

8 Descriptive statistics -- rrc math1020

Probability topics

2 Independent and mutually exclusive events

3 Two basic rules of probability

4 Contingency tables

5 Tree and venn diagrams

6 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 -- rrc math 1020 v2015rb

4 Poisson distribution -- rrc math 1020

5 Discrete distribution (playing card experiment)

6 Discrete distribution (lucky dice experiment)

The normal distribution

1 The standard normal distribution

2 Using the normal distribution -- rrc math1020

3 Normal distribution (lap times)

4 Normal distribution (pinkie length)

The central limit theorem

1 The central limit theorem for sample means (averages) -- rrc math 1020

2 The central limit theorem for sums -- rrc math 1020

3 Using the central limit theorem -- rrc math 1020

Confidence intervals

1 A single population mean using the normal distribution -- rrc math 102

2 A single population mean using the student t distribution -- rrc math

3 A population proportion -- rrc math 1020

4 Confidence interval (home costs)

5 Confidence interval (place of birth)

6 Confidence interval (women's heights)

Hypothesis testing with one sample

Introduction -- hypothesis testing with one sample -- rrc math 1020

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 -- rrc math 1

6 Hypothesis testing of a single mean and single proportion

Hypothesis testing with two samples

Introduction -- hypothesis testing with two samples -- rrc math 1020

1 Two population means with unknown standard deviations -- rrc math 1020

2 Two population means with known standard deviations -- rrc math 1020

3 Comparing two independent population proportions -- rrc math 1020

4 Matched or paired samples -- rrc math 1020

5 Hypothesis testing for two means and two proportions

Source: OpenStax, Statistics i - math1020 - red river college - version 2015 revision a - draft 2015-10-24. OpenStax CNX. Oct 24, 2015 Download for free at http://legacy.cnx.org/content/col11891/1.8

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