With the aid of an example, explain the difference between an

independent and dependent sample (4 marks)

b) What is the shape of the sampling distribution of pˆ1 – pˆ2 for two large

samples? (1 mark)

c) When is the pooled standard deviation used? (1 mark)

d) When calculating the Pooled Standard Deviation for two samples, what

does the values of n1 – 1; n2 – 1; and n1 + n2 – 2; tells us? (3 marks)

e) Explain how you will go about constructing a confidence interval for

μ1 – μ2, where σ1 and σ2 are known, and the sample is large. (4 marks)

f) There are three situations in which the H1 can be written when testing a

hypothesis involving two populations. List all three ways using the

symbol μ1 and μ2 (3 marks)

g) Draw a two-tailed normal distribution curve with a significance level of

0.05, identify the critical values on the distribution, the rejection and

non-rejection regions, and alpha on the graph. (4 marks)