Question A: True or False (3 marks) Directions: Read the background and the statement for each question below carefully. Write down if you think the statement is true or false1 and briey explain why. 1. Background: a nationwide surveyr on shopping habits intends to obtain stratied samples using age range as the variable for stratication. Statement: the stratied samples can be considered a good representation of the population if shopping habits are similar within each age group and heterogeneous between different age groups. 2. Background: a zoologist is interested in the average weight of an adult wallaby. She sampled the weights of 100 randomly selected adult wallabies and obtained the 95% condence interval for the population mean of the weight. Statement: if the zoologist sampled the weights of l randomly selected adult wallabies, the 95% condence interval for population mean is likely to be wider than the 95% condence interval obtained from 100 wallabies