Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. Test if using Machine B gives a significant improvement in productivity over Machine A. (Let the difference d = Machine A ? Machine B.) Productivity Rate Person Machine A Machine B 1 51 48 2 57 61 3 56 60 4 59 68 5 49 53 Assume the population of differences is normally distributed. (a) State the null and alternative hypotheses for a lower tail test. H0: ????d < 0 Ha: ????d >= 0 H0: ????d >= 0 Ha: ????d < 0 H0: ????d > 0 Ha: ????d = 0 H0: ????d = 0 Ha: ????d != 0 H0: ????d != 0 Ha: ????d = 0 (b) Find the mean and standard deviation for the difference. (Round your answers to four decimal places.) mean standard deviation (c) Compute the test statistic. (Round your answer to three decimal places.) (d) Test the null hypothesis, stated in Part a, at the 10% level. We do not reject H0. There is no significant difference. We do not reject H0. There is a significant difference. We reject H0. There is no significant difference. We reject H0. There is a significant difference.