A hummingbird nectar manufacturer claims their nectar attracts twice as many hummingbird visits as other competitor brands. A curious citizen scientist decides to test out this claim by placing 5 feeders around their yard with the \"elite\" nectar and 4 feeders around a friend's yard with the nectar brand they have used over past seasons. During peak hummingbird season {May to Sept), using wildlife cameras, they counted the number of times hummingbirds visited each of the respective feeders every day. After the season ended, the \"elite\" nectar feeders had an average of 43.2 visits per day, with a standard deviation of 6.2 visits, and the other brand feeders had an average of 21.6 visits per day, with a standard deviation of4.8 visits. Assume the population variances are equal but unknown. a. Construct a 90% confidence interval for the difference between the mean visits of the \"elite\" nectar and other brand nectar and interpret. b. Using a significance level of 0.1, does this testing conducted by the citizen scientist support the claim the \"elite\" nectar attracts twice as many visits from hummingbirds? Why or why not? Explain your reasoning. c. Say this \"elite\" nectar brand costs 2.5x the other brand. Ifthe citizen scientist wants to have the best experience observing hummingbirds in their yard, would you recommend they keep using the \"elite\" brand? Why or why not