6. (8 points) Crushed ice is compressed to make a 10 lbs solid ice block. The manufacturer uses a proximity sensor to fill the holding chamber with 12 lbs of crushed ice to ensure that the ice blocks weigh at least 10.5 lbs (0.7 lbs are lost due to compression of crushed ice). Engineers claim that by replacing the proximity sensor with a load sensor, money can be saved by minimizing over-weight ice blocks. Random samples of 30 ice blocks are used to test the hypothesis that the new load sensor saves money. From past experience, the standard deviation for using the new load sensor is 0.2 lbs. a) What is the minimum weight of crushed ice we should start with to ensure that the ice blocks weigh greater than 10.5 lbs with 1% significance level. (10 pts.) b) Given a cycle time of 10 seconds per ice block, how many pounds of crushed ice is saved by reducing the starting weight from 12 lbs to the recommended level in an 8 hours day. (10 pts.) 6. (8 points) Crushed ice is compressed to make a 10 lbs solid ice block. The manufacturer uses a proximity sensor to fill the holding chamber with 12 lbs of crushed ice to ensure that the ice blocks weigh at least 10.5 lbs (0.7 lbs are lost due to compression of crushed ice). Engineers claim that by replacing the proximity sensor with a load sensor, money can be saved by minimizing over-weight ice blocks. Random samples of 30 ice blocks are used to test the hypothesis that the new load sensor saves money. From past experience, the standard deviation for using the new load sensor is 0.2 lbs. a) What is the minimum weight of crushed ice we should start with to ensure that the ice blocks weigh greater than 10.5 lbs with 1% significance level. (10 pts.) b) Given a cycle time of 10 seconds per ice block, how many pounds of crushed ice is saved by reducing the starting weight from 12 lbs to the recommended level in an 8 hours day. (10 pts.)