Week 5
Normal & Poisson distributions; Variability in estimates & CI’s
Overview of Week 5
Mon: Day 7
- Normal distribution: Section 3.3
- Poisson distribution: Section 3.4
Wed: Days 8 & 9
- Day 8 topics: Variability in estimates: Section 4.1
- Day 9 topics:
- Confidence intervals for one mean (single-sample):
- Sections 4.2 and 5.1.1, 5.1.2 (pgs. 238-242)
- Student’s t-distribution
- Confidence intervals for one mean (single-sample):
- Days 7-9 Practice Problems
- See new PP section below
Slides & Recordings
- Pre-recorded lessons are on Echo Video.
| Day | Topic | Slides: html | Slides: pdf | Slides: web-page | Slides with notes | Recording Link | Duration | Code: qmd | Code: html |
|---|---|---|---|---|---|---|---|---|---|
| Calculating probabilities in R | |||||||||
| 7 | Normal dist and prob’s for standard normal (3.3.1, 3.3.3) | Day 7: slides 1-5 | Day 7 Part 1 | 27 min | |||||
| 7 | Normal prob’s using z-scores (3.3.2, 3.3.4) | Day 7: slides 6-7 | same | same | Day 7 Part 2 | 15 min | |||
| 7 | Normal approx of binomial dist (3.3.6) | Day 7: slides 8-9 | same | same | Day 7 Part 3 | 14 min | |||
| 7 | Poisson dist (3.4) | Day 7: slides 10-12 | same | same | Day 7 Part 4 | 15 min | |||
| 8 | Variability in estimates: Section 4.1 | Day 8: slides 1-13 | Day 8 Part 1 | 26 min | |||||
| 8 | 4.1 con’td | Day 8: slides 14-29 | same | same | Day 8 Part 2 | 37 min | same | ||
| 8 | R code demo | Day 8 Part 3 | 11 min | same | |||||
| 9 | CI’s for 1 mean: 4.2 | Day 9: slides 1-12 | Day 9 Part 1 | 17 min | |||||
| 9 | 4.2 con’td | Day 9: slides 13-19 | same | same | Day 9 Part 2 | 17 min | same | same | |
| 9 | 4.2 con’td, 5.1.1, 5.1.2 (pgs. 238-242) | Day 9: slides 20-23 | same | same | Day 9 Part 3 | 14 min | same | same |
Practice Problems
Day 7 PP
- From Day 7 slides:
- Example 3.3 parts (1) and (3) on pg 7 of slides
- Example 3.8 parts (2) and (3) on pg 11 of slides
Day 8 & 9 PP
- From Day 8 slides:
- Slide 21: match figures to distribution (Sampling high schoolers’ weights)
- Book exercise: 4.2
- From Day 9 slides:
- Slide 15: What percent CI was being simulated in this figure?
- Slide 22: Calculate CI
Class discussion
During class you will be working in groups discussing the following:
Day 7
- Practice Problems listed above
- From (updated) HW 3:
- Book exercises
- 3.22, 3.32, 3.40
- Book exercises
Day 8 & 9
- Practice Problems listed above
- From (updated) HW 3:
- Day 8
- R1: Youth weights Part 1 (YRBSS)
- Non-book exercise: Ethan Allen
- Day 9
- Book exercises:
- warm-up: 4.4, 4.6, 5.10
- 5.6
- R2: Youth weights Part 2 (YRBSS)
- Book exercises:
- Day 8
Homework
- HW 3 v2 covers Days 6 - 9 and is due on Sat, 11/1
- Make sure to check out the calculating probabilities in R code file: qmd, html
- Note: the answer to exercise 3.31(b) in the textbook (not assigned) is incorrect.
- Check out this spreadsheet for more typos in book.
Exam 2 information
- Exam 2 will be on Wed, Nov. 5th
- Samples of past exam questions and answers (on Sakai)
- Material will cover Days 6-9,
- which is approximately Sections 3.1-3.4, 4.1-4.2 from the textbook.
- The exam will be in-class and handwritten. Bring a calculator.
- You may bring one page of notes on an 8.5” x 11” sheet of paper.
- You may use both sides.
- You may type your notes.
- You may not use screenshots of the notes or textbook
- You will be turning in the page of notes with the exam, so please add your name to the sheet.