Can you explain we're they got the alpha and t Critial. Also can you show step by step of the SM and T stat?

With growing international concern about global warming, agencies and organizations all over the globe are trying to nd ways to reduce their \"carbon footprint" (how much carbon they contribute to the environment via energy, waste, etc.). Universities are especially concerned about the amount ot'waste that accumulates on their campuses. Some universities have tried recycling programs with varying degrees of success. One new program proposes that it'you put recycling containers IN the classrooms, you will get much more compliance then if containers are less accessible (e.g., in the hallway or only in designated offices). To test this new program, garbage was collected from 5 randomly selected classrooms before a recycling receptacle was installed in the classroom and after it was installed to see if there was a drop in the number of recyclables that were thrown away in the regular garbage. What type of test should you use (one or two tailed)? Conduct a test and write your conclusion. M = 10.8 or M = -10.8 (depending on how you subtract). SD = 10.92 One-Tailed. they are trying to see il'there's a drop in the number of recyclables that were thrown away in the regular garbage. H\" : it s t] The recycling receptacle did not cause a significant reduction in the number of recyclables that were thrown away in the regular garage. H] : it >0 The recycling receptacle did cause a significant reduction in the number of recyclables that were thrown away in the regular garage. 01': N-I. 5-l=4 Alpha = 0.05 T-critical = 2. I32 SM = 10.92/(5\".5} = 4.88 T-stat- {108-0} / 4.88 = 2.21 We will reject the null hypothesis. The recycling receptacle did cause a significant reduction in the number ol'rccyclablcs that were thrown away in the regular garage. The numbers below represent the number of recyclable trash that was placed in the regular garbage cans. Before recycling Atter Recycling containers containers 34 l 8 49 22 23 l 8 16 l 7 27 20