3/5 Haim Type I and Type II errors A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44.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, J, is now greater 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 49 hours and that the standard deviation is 5 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H H : H = 44 D0 H, : H > 44 020 0-0 0+0 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? Type I X 5 ? (c) Suppose the true mean number of hours worked by software engineers is 51 hours. Fill in the blanks to describe a Type II error. A Type II error would be rejecting the hypothesis that | is. (Choose one) (Choose one) when, in fact, H is (Choose one)