## Elementary Statistics

Part 3: Probability and Inference
• 5. Probability (pdf)
• 6. Inference for Proportions (pdf)
• 7. Inference for Means (pdf)
• 8. Further Thoughts on CIs and HTs (pdf)

Learning Objectives (from openintro.org)

These learning objectives correspond to the free textbook, OpenIntro Statistics, Third Edition, and to our course as well.

Exercise Data
• 5. Probability (zip)
• 6. Inference for Proportions (zip)
• 7. Inference for Means (zip)
• 8. Further Thoughts on CIs and HTs (zip)
Classwork
binomial distribution
• 5f. express (zip pdf)
sampling distribution
• 6a. marbles (zip pdf)
one proportion CI
• 6b. critical value (zip pdf)
• 6c. medical residents (zip pdf)
two proportions CI
• 6g. science (zip pdf)
two proportions HT
• 6h. reservations (zip pdf)
• 6i. air ( zip pdf)
two means CI and HT (independent samples)
• 7d. brains (zip pdf)
• 7e. sodium (zip pdf)
• 7f. critical value (zip pdf)
two means CI and HT (paired data)
• 7g. premature (zip pdf)
• 7h. shovel (zip pdf)

#### Discrete random variables

• Mean, variance, and standard deviation of a discrete random variable (Rmd pdf)
• plot.binom, plot.geom (Rmd pdf)
• Discrete random variables ... energy-efficient refrigerators (Rmd pdf)
• Discrete random variables ... paint blemishes (Rmd pdf)
• Discrete random variables ... songs (Rmd pdf)

#### Binomial distributions

• Binomial distribution ... Helsinki Heart Study, 1987 (Rmd pdf)
• Binomial distribution ... basketball (Rmd pdf)

#### Geometric distributions

• Geometric distribution ... jumper cables (Rmd pdf)

#### Statistical inference

• significance ... GMAT (Rmd pdf)

#### Sampling distributions

• sampling distribution of a proportion ... marbles (Rmd pdf)
• sampling distribution of a proportion ... procrastination (Rmd pdf)
• functional programming (Rmd pdf)
• sampling variability (Rmd pdf)
• sampling distribution of a sample mean ... blood platelet volume (Rmd pdf)
• sampling distribution of a sample mean ... exponential distribution (Rmd pdf)
• sampling distribution of a sample mean ... Cherry Blossom 10 Mile Run, 2012 (Rmd pdf)

#### Interval estimates

Wikipedia : Chronology of the universe

• age of the universe (Rmd pdf)
• margin of error (Rmd pdf)
• confidence interval for a proportion (Rmd pdf)
• confidence interval for the difference of two proportions (Rmd pdf)
• confidence interval for a mean (Rmd pdf)
• confidence interval for the difference of two means (independent samples) (Rmd pdf)
• confidence interval for the difference of two means (paired data) (Rmd pdf)

#### Experimental data

• HT for difference of two means ... reading emotions (Rmd pdf)
• HT for difference of two proportions ... duct tape (Rmd pdf)
• CI for difference of two means ... blood pressure (Rmd pdf)
• CI for difference of two proportions ... prayer (Rmd pdf)

#### Inference, OpenIntro labs

cparrish@sewanee.edu