A regional opera company has tried two different approaches for soliciting donations from 16 potential sponsors. The 16 potential sponsors were selected at random from a population of potential sponsors and randomly divided into two groups of eight each . Then one t the approaches was used for each group. The dollar amounts of the resulting contributions are as follows: Approach 1 $1000 $1500 $1200 $1800 $1600 $1100 $1000 $1250 LApproach 2 $1500 $1000 $1200 $1500 $1200 $1250 1100 $1000 (a) State any assumptions necessary to test the claim that the two approaches produce different mean amounts of donation. Check those assumptions for which you have the data. (b) It there evidence to indicate that the two approaches differ with respect to the mean amount donated? (Given a-0.05) (c) Construct a 95% two-sided confidence interval on the difference in the two means. Use this interval to answer the question posted in part (b).