Question: For each of the following situations, indicate whether an error has occurred and, if so, indicate what kind of error (Type I or Type II) has occurred.

a We do not reject H₀ and H₀ is true. No error
b We reject H₀ and H₀ is true. Type I Error
c We do not reject H₀ and H₀ is false. Type II Error
d We reject H₀ and H₀ is false. Error

A vinyl siding company claims that the mean time to install siding on a medium-size house is at most 20 hours with a standard deviation of 3.7 hours. A random sample of 40 houses sided in the last three years has a mean installation time of 20.8 hours. At the 0.05 significance level, can a claim be made that it takes longer on average than 20 hours to side a house?