The sails are attached to the mast using previously cut ropes. These should be an average length of 30 cm with a standard deviation of 1 cm. A random sample of 36 strings is occasionally taken from production and the length of each string in the sample is measured.

If the average length of the sample is less than 29.75 cm or greater than 30.25 cm, the cutting of the ropes is stopped until an employee adjusts the cutting equipment. If the average string length is within the range, everything is considered to be working normally and the cuts continue.

Question 8

What do you call the risk of stopping rope cutting unnecessarily when the equipment is well calibrated?

Question 9

Calculate the risk of stopping rope cutting unnecessarily when the equipment is well calibrated.

Question 10

What do you call the risk of not stopping rope cutting when the equipment is not properly calibrated?

Question 11

Calculate the risk of not stopping the equipment while it is calibrated at 30.15 cm.

Question 12

Calculate the power of the test when the equipment is calibrated at 30.15 cm