Collaborative statistics: custom version modified by v moyle

OpenStax

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Collaborative statistics: summary of modifications by r. bloom

1 Preface by s. dean and b. illowsky

2 Additional resources

3 Author acknowledgements

4 Student welcome letter

Sampling and data

Sampling and data

7 Answers and rounding off

10 Practice: sampling and data

11 Homework link

Descriptive statistics

Descriptive statistics

1 Displaying data

2 Stem and leaf graphs (stemplots)

5 Measures of the location of the data

6 Measures of the center of the data

7 Skewness and the mean, median, and mode

8 Measuring the spread of the data (modified r. bloom)

9 Summary of formulas

10 Practice 1: center of the data

11 Practice 2: spread of the data

12 Practice 3: interpreting percentiles

13 Homework link

Probability topics

Probability topics

1 Terminology (modified r. bloom)

2 Independent and mutually exclusive events (modified r. bloom)

3 Two basic rules of probability

4 Contingency tables (modified r. bloom)

5 Venn diagrams (optional)

6 Tree diagrams

7 Summary of formulas

8 Practice 1: contingency tables (modified r. bloom)

9 Practice 2: calculating probabilities

10 Homework link

11 Review questions link

Discrete random variables

Discrete random variables

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

2 Mean or expected value and standard deviation

3 Common discrete probability distribution functions

4 Binomial distribution

5 Geometric distribution

6 Hypergeometric distribution (optional)

7 Poisson distribution (optional)

8 Summary of functions

9 Practice 1: discrete distribution

10 Practice 2: binomial distribution

11 Practice 3: poisson distribution

12 Practice 4: geometric distribution

13 Practice 5: hypergeometric distribution

14 Homework link

15 Review questions link

Continuous random variables

Introduction to continuous random variables

1 Properties of continuous probability distributions

2 Continuous probability functions

3 The uniform distribution (modified r. bloom)

4 The exponential distribution

5 Summary of the uniform and exponential probability distributions

6 Practice 1: uniform distribution (modified r. bloom)

7 Practice 2: exponential distribution

8 Homework link

9 Review questions link

The normal distribution

The normal distribution

1 The standard normal distribution

3 Areas to the left and right of x

4 Calculations of probabilities

5 Summary of formulas

6 Practice: the normal distribution

7 Homework link

8 Review questions link

The central limit theorem

The central limit theorem

1 The central limit theorem for sample means (averages)

2 The central limit theorem for sums (optional)

3 Using the central limit theorem (modified r. bloom)

4 Summary of formulas

5 Practice: central limit theorem (modified r. bloom)

6 Homework link

7 Review questions link

Confidence intervals

Confidence intervals

1 Confidence intervals for a population mean, population standard deviation

2 Confidence interval for a population mean, standard deviation unknown,

3 Confidence interval for a population proportion (modified r. bloom)

4 Summary of formulas

5 Practice 1: confidence intervals for averages, known population standard

6 Practice 2: confidence intervals for averages, unknown population standard

7 Practice 3: confidence intervals for proportions

8 Homework link

9 Review questions link

Hypothesis testing: single mean and single proportion

Hypothesis testing: single mean and single proportion

1 Null and alternate hypotheses

2 Outcomes and the type i and type ii errors

3 Distribution needed for hypothesis testing

6 Using the sample to support one of the hypotheses

7 Decision and conclusion

8 Additional information

9 Summary of the hypothesis test

11 Summary of formulas

12 Practice 1: single mean, known population standard deviation

13 Practice 2: single mean, unknown population standard deviation

14 Practice 3: single proportion

15 Homework link

16 Review questions link

Hypothesis testing: two means, paired data, two proportions

Hypothesis testing: two population means and two population proportions

1 Comparing two independent population means with unknown population

2 Comparing two independent population means with known population standard

3 Comparing two independent population proportions

4 Matched or paired samples

5 Summary of types of hypothesis tests

6 Practice 1: hypothesis testing for two proportions

7 Practice 2: hypothesis testing for two averages

8 Homework link

9 Review questions link

Linear regression and correlation

Linear regression and correlation

1 Linear equations

2 Slope and y-intercept of a linear equation

3 Scatter plots

4 The regression equation (modified r. bloom)

5 Correlation coefficient and coefficient of determination

6 Facts about the correlation coefficient for linear regression (modified

7 Prediction (modified r. bloom)

8 Outliers (modified r. bloom)

10 95% critical values of the sample correlation coefficient table

11 Practice: linear regression

12 Homework link

1 Symbols and their meanings

2 English phrases written mathematically

4 Notes for the ti-83, 83+, 84 calculator

5 Links to probability tables

Source: OpenStax, Collaborative statistics: custom version modified by v moyle. OpenStax CNX. Nov 14, 2010 Download for free at http://legacy.cnx.org/content/col11238/1.2

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