QUESTION 1 Given below are the number of sales made in a month by random samples of employees (nine in Sydney; six in Melbourne) of the Acme Chemical Company which has large sales teams in both states. Sydney 41 Melbourne 41 47 62 39 56 64 37 61 52 34 63 45 55 24 43 (a) At the 0.01 level of significance, test whether the difference between the means of these two samples is significant. Each step in your hypothesis testing procedure should be clearly explained. (b) At the 0.02 level of significance, test whether there is any reason to doubt the assumption that the population standard deviations in the two cases are the same (ie σSydney = Melbourne), as required by the two-sample t test. (c) Tackle this problem using Excel and the functions which have been introduced to you. Of course, you will end up with the same conclusions.