Q2. The Cutter Consortium has a database of the names, tax number, physical address (including state and city) and size (small, medium and large) of all the 2500 companies of interest. A researcher from the consortium intends to Visit the head ofce of a sample of companies, and conduct face-to-face interviews. a. Explain how you would select a sample of 100 companies using the following schemes: i. Simple random sample [3 marks] ii. Stratied sample having company sizes as strata. [3 marks] b. If some of the companies you randomly selected refused to be interviewed, how would that be a problem? [2 marks] An alternate strategy proposed is to randomly sample cities from among those in the database, then conduct the interviews with all companies whose headquarters are found in the selected cities, until 100 companies have been selected. c. What would you call this sampling strategy? What advantages and disadvantages would it have? [2 marks]