Kat and Joshua want to know which pizza shop has the fastest delivery time. Kat took a random sample of 8 delivery times from pizza shop 1 over a period of six months. Joshua did the same for pizza shop 2. The delivery times (in minutes) for each pizza shop are shown in the following table.

Pizza Shop 1 Pizza Shop 2

18
20

23
17

15
16

22
38

21
21

24
20

28
18

20
25

1 answer

To determine which pizza shop has the fastest delivery time, we can compare the average delivery times for each shop based on the samples taken by Kat and Joshua.

For Pizza Shop 1:
Average delivery time = (18 + 23 + 15 + 22 + 21 + 24 + 28 + 20) / 8 = 20.125 minutes

For Pizza Shop 2:
Average delivery time = (20 + 17 + 16 + 38 + 21 + 20 + 18 + 25) / 8 = 21.875 minutes

Therefore, based on the samples taken by Kat and Joshua, Pizza Shop 1 has a faster average delivery time compared to Pizza Shop 2.