Errors. An auto parts company advertises that its special oil additive will make the engine run smoother, cleaner, longer, with fewer repairs. An independent laboratory decides to test part of this...

Errors. An auto parts company advertises that its special oil additive will make the engine run smoother, cleaner, longer, with fewer repairs. An independent laboratory decides to test part of this claim. It arranges to use a taxicab company s fleet of cars. The cars are randomly divided into two groups. The company s mechanics will use the additive in one group of cars but not in the other. At the end of a year the laboratory will compare the percentage of cars in each group that required engine repairs.

a) What kind of a study is this?

b) Will they do a one-tailed or a two-tailed test?

c) Explain in this context what a Type I error would be.

d) Explain in this context what a Type II error would be.

e) Which type of error would the additive manufacturer consider more serious?

f) If the cabs with the additive do indeed run significantly better, can the company conclude it is an effect of the additive? Can they generalize this result and recommend the additive for all cars? Explain.