\(\newcommand{\reals}{\mathbb{R}} \newcommand{\expect}{\mathbb{E}} \newcommand{\var}{\mathrm{var}} \)

Information about Midterm 3 (partially updated for Fall 2011)

NOTE: Please make sure that the mathematical formulas show in the standard mathematical notation. I have a report that some of the computers on campus do not display formulas but the underlying coding. This means that JavaScript is disabled in those browsers. Please enable JavaScript or use a different computer/browser.

General Information

A note on notation

I will use the notation \[ \expect{X} = \mu_X \] for the expected value (mean) of a random variable \(X\). Note that in some browsers the bar in \(\bar{X}\) will not show if \(\bar{X}\) is in the subscript. If you don't see a bar below, you should watch out for this problem: \[ \expect{\bar{x}} = \mu_{\bar{x}} \] Similarly, we will use two notations as synonymous \[ \var{X} = \sigma^2_{X} \] for the variance of the random variable \(X\).

List of Chapter 5 topics covered

The binomial distribution (Section 5.1)

Proportions \(\hat{p}\)

The list of Chapter 6 and Chapter 7 topics covered

Sampling distribution

Confidence intervals

Hypothesis testing

The Student t-distribution

The list of Chapter 8 topics covered

Inference for single proportion

Inference for 2 proportions