A boutique confectioner wants to estimate the difference between the average weights of its handmade chocolates sold in Sydney and Melbourne. According to the confectioner’s researcher, a random sample of 20 chocolates sold at stores in Sydney yielded a sample mean of 17.53 grams with a standard deviation of 3.2 grams. Her random sample of 24 handmade chocolates sold at stores in Melbourne yielded a sample mean of 14.89 grams with a standard deviation of 2.7 grams. Use a 1% level of significance to determine whether there is a difference between the mean weights of handmade chocolates sold in these two cities. Assume that the population variances are approximately the same and the weights of handmade chocolates sold in the stores are normally distributed.