The director of manufacturing at a fabric mill needs to determine whether a new machine is...

The director of manufacturing at a fabric mill needs to determine whether a new machine is producing a particular type of cloth according to the manufacturer’s specifications, which indicate that the cloth should have a mean breaking strength of 30 kg and a standard deviation of 3.5 kg. A sample of 49 pieces of cloth reveals a sample mean breaking strength of 29.3 kg.

(a) Is there evidence that the machine is not meeting the manufacturer’s specification for mean breaking strength? Assume that the specification of a standard deviation of 3.5 kg is being met and use a 5% level of significance.

(b) What is your answer in part (a) if the standard deviation is 1.8 kg?

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orchestra answered 1 year ago

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