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. Assume the 12 values(107, 109, 111, 113, 113, 114, 114, 115, 117, 119, 122, 124) are sampled from a normal population, and assume the sample mean and standard deviation calculated in the previous question (mean: 114, standard deviation: 5) are actually the population mean and standard deviation. Compute the proportion of bolts whose breaking torque is less than 100 J. Will the shipment be accepted? Express the answer as a percentage.(Round the final answer to two decimal places.)
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.
Assume the 12 values(107, 109, 111, 113, 113, 114, 114, 115, 117, 119, 122, 124) are sampled from a normal population, and assume the sample mean and standard deviation calculated in the previous question (mean: 114, standard deviation: 5) are actually the population mean and standard deviation. Compute the proportion of bolts whose breaking torque is less than 100 J. Will the shipment be accepted? Express the answer as a percentage.(Round the final answer to two decimal places.)
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