be accurate please!
The demand for delivery during COVID lockdowns exploded. Companies like Wayfair have had to look beyond FedEx and Purolator to other third-party delivery companies like Intellicom in order to keep up with demand. Quickdrop Co. has just become an approved courier for delivering Wayfair packages in western Canada. Wayfair wants to monitor these smaller delivery companies during their first year, to ensure they are meeting company standards. Wayfair has decided to develop a hypothesis test so that it can monitor Quickdrop Co.'s performance during the first year of their contract. In order to keep track of how they are doing, a Wayfair employee will go to each region and take a sample of 100 random delivery times for analysis. There are 17 different delivery regions in western Canada that Quickdrop operates in. Design a hypothesis test for Wayfair to check and see if the average delivery time is equal to the industry standard of 3 days in each region. You want to be able to use the test to help identify regions where Quickdrop Co.is doing well (faster than the industry standard) and to identify regions that are doing poorly and need improvement (slower than the industry standard). The standard deviation of all delivery times is known to be 0.8 days from a previous study. A. Design an appropriate hypothesis test, that will be used to do individual quality control tests at each of the 17 regions Quickdrop Co. delivers in. use alpha = .08 B. The first region tested is central Alberta. They take a sample of 100 random deliveries and find that the average delivery time is 3.15 days. Use your test to determine if the Central Alberta region is failing to meet the industry standard delivery time. C. What is the probability of a type one error occurring in your test in part b? D. What is the probability that your test will commit a type two error, if the true mean delivery time of the region being tested is actually 3.1 days? E. Define a type 1 error as it would apply to this question. What would the impact of this error be? If you test all 17 regions, how many type 1 errors may have happened? F. Define a type 2 error as it would apply to this question. What would the impact of this error be? If you test all 17 regions, how many type 2 errors may have happened