Elementary statistics

OpenStax

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Student welcome letter

Sampling and data

0.1 Student learning objectives

0.2 Introduction

7 Answers and rounding off

9 Practice: sampling and data

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 Measures of the spread of the data

9 Summary of formulas

10 Practice 1: center of the data

11 Practice 2: spread of the data

Linear regression and correlation

1 Linear equations

2 Slope and y-intercept of a linear equation

3 Scatter plots

4 The regression equation

5 The correlation coefficient

6 Facts about the correlation coefficient for linear regression

10 Practice: linear regression

Probability topics

0.1 Student learning objectives

0.2 Introduction

0.3 Optional collaborative classroom exercise

2 Independent and mutually exclusive events

3 Contingency tables

4 Probability topics: summary of formulas

5 Practice: contingency tables

Discrete random variables

0.1 Student learning objectives

0.2 Introduction

0.3 Random variable notation

0.4 Optional collaborative classroom activity

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

2 Mean or expected value and standard deviation

3 Common discrete probability distribution functions

5 Summary of the discrete probability functions

6 Practice 1: discrete distribution

7 Practice 2: binomial distribution

Continuous random variables

1 Continuous probability functions

2 The uniform distribution

3 Practice: uniform distribution

4 Summary of the uniform distribution

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

The central limit theorem

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 Summary of formulas

5 Practice: the central limit theorem

Confidence intervals

Confidence intervals

1 Confidence interval, single population mean, population standard deviation

2 Confidence interval, single population mean, standard deviation unknown

3 Confidence interval for a population proportion

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

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

17 Lab: hypothesis testing of a single mean and single proportion

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

Symbols and their meanings

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

Source: OpenStax, Elementary statistics. OpenStax CNX. Dec 30, 2013 Download for free at http://cnx.org/content/col10966/1.4

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