A company wants to make sure that weights of packages of one of it's very expensive product is 100 g on average as it does not want to overship the product. Also, it wants to make sure that the standard deviation of the product's packages is within 2g, as it does not want to deal with customer complaints. Before a shipment, the quality control manager picks up a sample of 10 packages and carefully weighs them and notes the following weights: 99, 98, 100, 101, 102, 103, 104, 100, 103, 97. The manager has set for herself a 10% acceptance level for sample standard deviation i.e., if there is a 10% or less chance that this sample could have come from a population with standrd deviation of 2g, she will stop the shipment. Find out if this shipment should be stopped or shipped based on this sample.

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Chapter1: Combinatorial Analysis
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4. A company wants to make sure that weights of packages of one of it's very expensive product
is 100 g on average as it does not want to overship the product. Also, it wants to make sure
that the standard deviation of the product's packages is within 2g, as it does not want
to deal with customer complaints. Before a shipment, the quality control manager picks
up a sample of 10 packages and carefully weighs them and notes the following weights:
99, 98, 100, 101, 102, 103, 104, 100, 103, 97. The manager has set for herself a 10% acceptance
level for sample standard deviation i.e., if there is a 10% or less chance that this sample
could have come from a population with standrd deviation of 2g, she will stop the shipment.
Find out if this shipment should be stopped or shipped based on this sample.
Transcribed Image Text:4. A company wants to make sure that weights of packages of one of it's very expensive product is 100 g on average as it does not want to overship the product. Also, it wants to make sure that the standard deviation of the product's packages is within 2g, as it does not want to deal with customer complaints. Before a shipment, the quality control manager picks up a sample of 10 packages and carefully weighs them and notes the following weights: 99, 98, 100, 101, 102, 103, 104, 100, 103, 97. The manager has set for herself a 10% acceptance level for sample standard deviation i.e., if there is a 10% or less chance that this sample could have come from a population with standrd deviation of 2g, she will stop the shipment. Find out if this shipment should be stopped or shipped based on this sample.
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