A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, u, is now different from 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 40 hours and that the standard deviation is 6 hours.
a) H0: u = 44, H1: u ≠ 44
b) Type II error
c) Type I error: Rejecting the null hypothesis when it is actually true, i.e., concluding that the mean number of hours worked per week is different from 44 when it is actually not.