Queston 4b. A process that cuts lengths of metal with high precision aims to produce metal rods with length of 600 millimetres (mm). Management at the factory is concerned that after an adjustment to the machine the mean length of the rods being produced is less than the required 600 mm. The production line manager tasked with investigating the issue finds that a (random) sample of 15 rods yielded a mean length of 596 mm and a sample standard deviation of 3 mm. i. Say whether the information from the sample would prompt the production line manager to continue the investigation. Justify your decision. ii. State the null and alternate hypotheses for this situation. iii. Use the Excel macro provided this session to test the hypothesis you have stated above using a 5% level of significance. You must show the Excel output, the rejection criterion, relevant numbers from the output, the test result and a conclusion in terms of the original problem.
Queston 4b. A process that cuts lengths of metal with high precision aims to produce metal rods with length of 600 millimetres (mm). Management at the factory is concerned that after an adjustment to the machine the
i. Say whether the information from the sample would prompt the production line manager to continue the investigation. Justify your decision.
ii. State the null and alternate hypotheses for this situation.
iii. Use the Excel macro provided this session to test the hypothesis you have stated above using a 5% level of significance. You must show the Excel output, the rejection criterion, relevant numbers from the output, the test result and a conclusion in terms of the original problem.
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