A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44 .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, mean, is now less than 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 41 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below.

(a) What are the null hypothesis and the alternative hypothesis that should be used for the test?

(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Select one): Type I or Type II

(c) Suppose the true mean number of hours worked by software engineers is 39 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Select one): Rejecting of failing to reject the hypothesis that mean is (Select one): less than, less than or equal to, greater than, greater than or equal to, not equal to, equal to (Select one): 41,44 or 5 when in fact mean is (Select one): equal to 5, equal to 44, less than 5, less than 44, greater than 41, or greater than 44.