Draft plan for S2, November 2017 to January 2018


Week 1 (22-23 November)

What S2 is about. Four questions which we’ll be able to answer once we’ve learned the concepts.

Practical: biased dice.

What is a random variable?

Binomial distribution: what it is

When to use it

How to calculate by hand

How to use the Classwiz calculator for it

Ex.1B

Mean and variance

Ex.1E

Answer the first of our “four questions”.


Poisson distribution: what it is

When to use it

How to calculate by hand

How to use the Classwiz calculator for it

Ex.2C

Mean and variance

Ex.2D, 2E, 2F

Answer the second of our “four questions”.


Week 2 (29-30 November)

Normal distribution: what it is

When to use it

How to use the Classwiz calculator for it

Relate to binomial and Poisson (also mention Central Limit Theorem, not on syllabus)

Continuity corrections

Ex.5C, 5D

Answer the third of our “four questions”


Week 3 (13-14 December)

Continuous uniform distribution: what it is

When to use it

How to calculate it

Mean and variance

Which distribution? My own worksheet and Ex.4C Q.5, 6, 9


Week 4 (20-21 December)

Sampling: terminology (which is really all chapter 6 is)

Hypothesis testing: what is a statistic? H0, H1, p, one-tailed, two-tailed, critical value, critical region

Answer the fourth of our “four” questions

Ex.7D

Mini-test on ground covered so far.


Week 5 (10-11 January)

Explain why simple p-value hypothesis testing is unsatisfactory (not in syllabus)

Continuous random variables

Pdf, cdf, mode, quartiles, E(aX+b), Var(aX+b)

Ex.3E


Week 6 (17-18 January)

Mop-up, practice, test