14.68 In a fast-food restaurant, it’s desirable to have seats that are comfortable but not too comfortable.

Patrons sitting at a seat that is too comfortable may tend to linger and tax the capacity of the restaurant. In an experiment to compare seat designs by observing how long people with the same food order stay in the restaurant, each of 18 persons is given a hamburger, fries, and shake, then timed to see how much time they require to eat and leave. The times are shown here. At the 0.05 level, do the seat de signs differ significantly in terms of the time that patrons stay? Using the appropriate statistical table, what is the most accurate statement we can make about the p-value for the test?

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Time, six patrons and seat design 1: 6 10 9 5 5 8 minutes Time, six patrons and seat design 2: 13 10 8 13 9 12 Time, six patrons and seat design 3: 10 15 10 8 15 15