A company receives a large shipment of bolts. The bolts will be used in an application that requires a torque of 100 J. Before the shipment is accepted, a quality engineer will sample 12 bolts and measure the torque needed to break each of them. The shipment will be accepted if the engineer concludes that fewer than 1% of the bolts in the shipment have a breaking torque of less than 100 J.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A company receives a large shipment of bolts. The bolts will be used in an application that requires a torque of 100 J. Before the shipment is accepted, a quality engineer will sample 12 bolts and measure the torque needed to break each of them. The shipment will be accepted if the engineer concludes that fewer than 1% of the bolts in the shipment have a breaking torque of less than 100 J.

 

What if the 12 values had been 108, 110, 112, 114, 114, 115, 115, 116, 118, 120, 123, 140? Use the method outlined in parts (a) and (b) to determine whether the shipment would have been accepted. Find the proportion of bolts that would have breaking torques less than 100 J. Round the sample mean and standard deviation to three decimal places. Express the proportion of bolts as a percentage and round the answer to the next largest integer.

 

The sample mean is  J. 

 

The sample standard deviation is  J.

 

 % of bolts would have breaking torques less than 100 J. 

 

The shipment would   (Click to select)   be   not be  accepted.

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