A manufacturing company wants to investigate the product coming out of two machines has a similar diameter or not. It is established that the standard deviation of the diameter for the parts from Machine A is 0.025 units, and that for Machine B is 0.034 units. The question is whether Machine B has a larger average diameter than Machine A. Test this hypothesis using the Z-test. The population parameter of interest is µA - µB (the difference in the two population means). A random sample of 100 parts is selected from each machine and the mean for Machine A was 0.501 units for machine A and 0.509 units for Machine B.
a. State Null hypothesis
b. State Alternate hypothesis
c. What is the calculated value of Z at ? = 0.05?
d. Determine the Z-critical
e. Draw a conclusion