1. If the standard deviation of a centered process is increased by 100%. The USL, LSL, and the mean of the process keep the same. Which of the following statements is TRUE?

   		The process capability ratio is increased by 100%.
   		The process capability ratio is decreased by 50%.
   		The probability of defective items is increased by 100%.
   		The probability of defective items is decreased by 50%.

2. If the process capability ratio of a centered process is 0.5, what is the average amount of defects per 1 million outputs?

   		35,728
   		71,860
   		230,139
   		133,614

3. A baseball manufacturer monitors how many baseballs have scratches before they are sold to customers. Each week, the manufacturer takes 1000 samples, and the numbers of the balls with scratches are 21, 14, 12, and 17 (in a four-week monitoring period with a total of 4000 samples). If the manufacturer uses a p-chart with 3-sigma limits for the process control, what is the UCL_p for this p-chart?

   		0.0236
   		0.0169
   		0.0279
   		0.0193

4. SSK makes steel rods with an average diameter of 1 mm. The process has a standard deviation of 0.04 mm. The upper and lower specification limits are 1.1 mm and 0.9 mm, respectively. What is the probability that the rods diameter will either be too wide or too narrow?

   		1.2419%
   		9.558%
   		4.55%
   		26.6521%