You run a company in the manufacturing sector and you decide to buy a new machine....
You run a company in the manufacturing sector and you decide to buy a new machine. On the brochure of the machine called Max1000 you read that it can produce an average of 500 pieces per hour. You think this is a good number for your business, and you decide to buy it. Analysing 13 hours of running, you realize the machine is producing only 460 pieces per hour, with a standard deviation equal to 55. Assuming a 95% confidence level, does this detection allow you to raise a complaint with the supplier of the machine? To answer your question:
(i) Write down the null and the alternative hypothesis for this problem. Assume that the sample of 13 hours is random, and that the production of pieces per hours is normally distributed.
(ii) On the basis of an appropriate test statistic, what is your conclusion?
(iii) Will your decision change if you want to be sure at the level of 99.9%
before making a complaint?
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You run a company in the manufacturing sector and you decide to
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