6. (4 points] This production line is located in a poor country" and the workers are required to pick four bags of cement each time and load them into a truck. Heavy loads cause injuries. The mean of a bag's weight cannot be changed. \"fl-tat should be the standard deviation of a bag's weight to make sure the sum of the weights of the four bags exceeds 104 pounds only 0.5% of the time? Answer: 104 100 o 0.5% corresponds to z-score - 2.58 2.58 = 104100; 0 o =-l. 55 The standard deviation must 1.55 to have 104 exceed 100 0.5% of the time. Using z-score table Table from: Z Score Table - T Table \"123092234 For Probability less than 104 pounds: P(x104) = 1 - 0.995 = 0.005 The equivalent z-soore is between 2.57 and 2.58 based on the table. To get the z-soore for the probability, average will be calculated. 2: w 22.575