Question
In: Statistics and Probability
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?
(c) What is your answer in part (a) if the sample mean is 29 kg and the standard deviation is 1.7 kg?
Solutions
orchestra answered 2 years agoRelated Solutions
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Suppose that the director of manufacturing at a clothing factory
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pounds and a standard deviation of 3.5 pounds. A sample of 49
pieces reveals a sample mean of 69.1 pounds. The director is
willing to tolerate a probability of .05 of rejecting the null
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Problem 1. The director of manufacturing at a clothing factory needs to determine whether a new...
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indicate that the cloth should have a mean breaking strength of 70
pounds and a standard deviation of 3.5 ponds. A sample of 49 pieces
of cloth reveals a sample mean breaking strength of 69.1 pounds. Is
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