Suppose that a researcher is studying a food delivery app. They claim that the app's actual delivery time is 5 minutes longer than the estimated delivery time on average. To study this the researcher randomly selects 11 deliveries and records their estimated delivery time and their actual delivery time. They get the following data. (Note: You may assume there were many deliveries to choose from.) Estimated Delivery Time Actual Delivery Time 43 35 25 44 36 50 18 60 16 51 38 25 35 15 30 25 30 15 50 10 40 30 (a) Carry out a hypothesis test at a = .05 to test the claim that the difference in actual and estimated delivery time is more than 5 minutes on average. (b) Build a 95% confidence interval for the average difference between estimated delivery and actual delivery time. (c) Would deciding that the average difference in actual and estimated delivery time is greater than 5 minutes on average when in reality it is not be a Type 1 Error or a Type 2 Error?

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