In: Statistics and Probability
The state of Michigan has just changed one of its toll roads from human collection of tolls to machine collection. The idea behind the change was to allow traffic to flow more smoothly through the toll plaza. With human attendants, the mean number of cars passing through the toll plaza was 1,253 per hour. A random sample of 100 hours under the new machine system of toll collection shows a mean of 1,261, with a standard deviation of 59. Present a hypothesis and a null hypothesis, and evaluate them. State a conclusion in plain English.
Let
denotes the mean number of cars passing through the toll
plaza.
There is sufficient evidence to support the claim that mean number of cars passing through the toll plaza was 1,253 per hour.