"Statistical designs for producing trustworthy data are perhaps the single most influential contribution of statistics to the advance of knowledge. In this century [the 20th], random sampling and randomized comparative experiments have revolutionized the practice of many fields of applied science." --Moore & McCabe, IPS 2/e, p. 221
| Section | Topic/notes | Problems | Due Date |
|---|---|---|---|
| 1.1-2.5 | Looking at data | Portfolio | F 10/6 |
| 3.1 | First steps | 3.2, 3.4, 3.6 | T 10/10 |
| 3.2 | Design of experiments | 3.10, 3.12, 3.14, 3.16
In 3.14 & 3.16 use Table B. | |
| 3.3 | Sampling design | 3.36, 3.38, 3.44, 3.45, 3.50 | F 10/13 |
| 3.4 | Toward statistical inference | 3.62, 3.64, 3.66, 3.70, 3.72
Put 3.72 on a separate page. Extra credit for a small team: combine the class's 3.72 data. (Do later.) |
| Section | Topic/notes | Problems | Due Date |
|---|---|---|---|
| 4.1 | Randomness | Homework: Exercises 4.1, 4.2
Portfolio: Record the actual sequences of heads (H) and tails (T) you get in each case. | T 10/17 |
| 4.2 | Probability models | 4.10, 4.14, 4.22, 4.32, 4.36
4/e 4.34: "A string of holiday lights contains 20 lights. The lights are wired in series, so that if any light fails the whole string will go dark. Each light has probability 0.02 of failing during a 3-year period. The lights fail independently of each other. What is the probability that the string of lights will remain bright for 3 years?" | |
| 4.3 | Random variables | 4.44, 4.46, 4.48, 4.54, 4.56
Ex. Cr.: Benford's Law: For d = 1,2,...,9, let P(X=d)=log10(1+1/d) exactly. Prove that this is a legitimate probability distribution (to infinite precision). | F 10/20 |
| 4.3-4.4 | Probability density function problems (pdf) (postscript) (html) | ||
| 4.4 | Mean and variance | 4.60, 4.64, 4.81, 4.83 | |
| Class notes | r.v. calculus | Calculus problems (pdf) (postscript) | F 10/27
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