Write down the mill hypothesis and the alternative hypothesis. (a) A local pizza store knows the mean amount of time it takes them to deliver an order is 45 minutes after the order is placed. The manager has a new system for processing delivery orders, and they want to test if it changes the mean delivery time. They take a sample of delivery orders and find their mean delivery time is 48 minutes. Let i represent the mean delivery time under the new system.
(b) The town where Lily lives has two main road intersections. Lily, a transportation engineer, suspects that one intersection is busier than the other. She sent two of her employees to track the number of cars that pass through each intersection at 5 different times of the day. Here are the number of cars passing through each intersection at each point in time:
Time 6 am 9am 12pm 4pm 7pm
Intersection A 28 34 24 33 27
Intersection B 26 32 21 34 26
Lily wants to test if these results suggest intersection A is busier than intersection B. Let A and the mean number of cars that pass through intersection A and B, respectively.