Problem 8 A company that manufactures bicycles receives steel rods in large shipments from a supplier....

Problem 8

A company that manufactures bicycles receives steel rods in large shipments from a supplier.

From past experience, the manager knows that the lengths are approximately normally

distributed. He takes a random sample of 14 rods. The lengths of the sampled rods are as

follows:

12.75 12.12 11.90 11.94 12.05 11.97 12.01

12.08 13.05 12.12 12.14 12.12 12.14 13.28

The company needs rods with a length of 12 inches in order to assemble the bikes properly.

Because too-large and too-small rods are unsuitable, shipments not meeting the requirement are

sent back to the supplier. Help this manager determine whether the shipment should be accepted

or rejected. Perform a hypothesis testing with .% α = 5

Solutions

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