The owners of Big Boy Burgers are considering remodeling their facility to include a drive-thru window. There will be room for three cars in the drive-thru line if they build it. However, they are concerned that the capacity may be too low during their busy lunchtime hours between 11:00 a.m. and 1:30 p.m. One of the factors they need to know is the distribution of the length of time it takes to fill an order for cars coming to the drive-thru. To collect information on this, the owners have received permission from a similar operation owned by a relative in a nearby town to collect some data at that drive-thru. The data in the file called Clair’s Deli reflect the service time per car.
Based on these sample data, is there sufficient evidence to conclude that the distribution of service time is not normally distributed? Test using the chi-square distribution and a = 0.05.