The time to manufacture a completely different engine part on the same assembly line is investigated. In this case, the time to manufacture the parts were examined, and the times (in seconds) were recorded as shown. For your convenience, the times have been sorted.

98.6, 108.9, 111.5, 112.6, 113.3, 115.7, 117.4, 121.6, 124, 124.5, 126.8, 128.6, 131.3, 131.8, 133.8, 134, 134.6, 134.8, 136.7, 137.4, 137.6, 139.8, 143.7, 144.4, 145.6, 147.7, 148.1, 148.9, 149.2, 149.2, 149.6, 149.7, 149.8, 150, 151.3, 152.5, 153, 153.1, 153.8, 155.1, 158.2, 158.4, 163.9, 163.9, 166.8, 169.1, 169.7, 169.9, 173.8, 176.3

Using R (as well as your thoughts), answer the following:

1. Show/describe the distribution of this variable (what is some key information needed to

properly describe a distribution?)

Draw a boxplot. What does an open circle represent? What do you want to do with any

such observation(s)?

Take a look at the histogram. Do you think this variable is normally distributed? There is

another graph we can use to help confirm that the variable is normally distributed. Plot this graph and describe what this graph tells us. Then indicate whether or not you would say that this variable is normally distributed.