Practice questions on chapters 2, 3 and 4 (STAT 511)
Chapter 2:
Concepts discussed in chapter 2 include:
• Population vs. sample
• Parameter vs. statistic
• Difference between simple random sampling and stratified random sampling
• Advantage of stratified random sampling
• Levels of measurement (smallest to highest) and their importance
• Definition of a random variable
• Definition of a discrete probability distribution and conditions it has to satisfy.
Note that probability distributions are key to statistical inference. Think of a
probability distribution as a model that you use to study your variable of interest.
At this point do not get concerned about continuous probability distributions (we
will discuss about them on the remaining chapters).
• Finding expected value and variance for a discrete probability distribution
• Practice exam questions from chapter 2 are
2.3.5
2.4.1
2.4.2
2.4.4
2.5.2
2.5.3
True or False questions on page 47
Chapter 3 (ignore section 3.3 and 3.4):
Concepts discussed in chapter 3 include:
• What constitutes a binomial experiment?
• The binomial probability model and its parameters
• Expected value and variance for a binomial probability model
• Testing hypothesis on π: follow these steps
1) Formulate the null and alternative hypothesis
2) α will be given, use it to find region of acceptance and region of
rejection
3) Perform the experiment and record the outcome
4) If the outcome is in the region of rejection then reject the null;
alternatively, compute p-value and if the p-value is less than or equal
to α, then reject the null. See page 65 of your text on computation of
p-values depending on the nature of the alternative hypothesis.
• You should know how to use the binomial table
• Practice exam questions from chapter 3 are:
3.1.3 3.2.2
3.1.5 (a) 3.2.3
3.1.18 3.2.6 and the True false questions on page 78 to 79(3.1 to 3.22)
