(a)25/100 pts) A bottle-filling process has a low specification limit of 1.8 liter and upper specification limit of 2.2 liter. The standard deviation is 0.15 liter and the mean is 2 liter. What is the process capability index for the process?

(b)(25/100 pts) Consider again that a bottle-filling process has a low specification limit of 1.8 liter and upper specification limit of 2.2 liter. The standard deviation is 0.15 liter and the mean is 2 liter. What is the probability that a bottle will either be too much or too little? (You can use Excel function or Table 9.1)

(c)(25/100 pts) Consider again that a bottle-filling process has a low specification limit of 1.8 liter and upper specification limit of 2.2 liter. The standard deviation is 0.15 liter and the mean is 2 liter. The company now wants to reduce its defect probability as 0.0455. To what level would it have to reduce the standard deviation in the process to meet this target?

(d)(25/100 pts) For 10 consecutive days, a process engineer has measured the temperature of water bottles as they are made ready for serving. Each day, she took a sample of 9 bottles. The average across all 90 bottles (10 days, 9 bottles per day) was 45 degrees Fahrenheit. The standard deviation across all bottles was 1.8 degree. When constructing anX-bar chart, what would be the center line, upper and lower control limits?