Big Al’s Steak House and Trail’s End both claim to have the shortest wait times in town. To check out the claims, Ramon, a restaurant reviewer, records the time it takes to be seated without reservations. The results of wait times for 8 visits to each restaurant are shown in the table.
Big Al's Steak House Wait Times (minutes)
Trail's End Wait Times (minutes)
5 11
13 19
22 14
7 14
20 15
21 20
20 10
12 17
a. Describe the populations and samples for this problem.
b. Calculate the mean wait time for each of the two restaurants.
Again, mean = ∑x/n
Mean = sum of scores divided by number of scores.
Im confused How do u calculate populations and samples
What you have are samples from both restaurants. If you plot them out, you can hypothesize from the sample to the population.
a. In this problem, the populations being referred to are the total wait times for all customers at Big Al's Steak House and Trail's End. The samples, on the other hand, are the recorded wait times for Ramon's 8 visits to each restaurant.
b. To calculate the mean wait time for each restaurant, you need to add up all the recorded wait times and divide by the number of visits. Let's calculate the mean wait time for Big Al's Steak House first:
(5 + 13 + 22 + 7 + 20 + 21 + 20 + 12) / 8 = 120 / 8 = 15
So, the mean wait time for Big Al's Steak House is 15 minutes.
Now, let's calculate the mean wait time for Trail's End:
(11 + 19 + 14 + 14 + 15 + 20 + 10 + 17) / 8 = 120 / 8 = 15
The mean wait time for Trail's End is also 15 minutes.
Therefore, the mean wait time for each restaurant is 15 minutes.