John works in the local waste station and notes that on any given day 1500 tons of waste, with a standard deviation of 500 tons is being received in these types of facilities across the city. John however, has become more quantitatively aware and finds that on average at his tip that he receives 1700 tons of waste per day. John would like to know if the amount of waste he receives is significantly more than the I other tips. (a) To test Johns question what test would you use and why? Justify your answer. 5%. (d) Construct a table using a significance levels of 0.5, 1.0, 2.5, 5 and 10% and investigate how the conclusion would change as a result of changing the significance value. (e) How would changing the standard deviation affect the result if the significance was set to 5%. Construct a table to investigate how changing the standard deviation would affect the final conclusion. (f) In a single paragraph explain how changing factors such as the significance level and the standard deviation can affect the research question of whether the amount of waste is significantly different given mu being 1500 and the sample mean being 1700 tons