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 recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 8 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours?