Problem 1 J. McWilliams Swim Club is trying to calibrate their chlorine pump to ensure that the right amount of chlorine (1.0–1.5 ppm of free chlorine) is mixed into the water. Thirty samples of fou

Problem 1 

J. McWilliams Swim Club is trying to calibrate their chlorine pump to 

ensure that the right amount of chlorine (1.0–1.5 ppm of free chlorine) is mixed into the water. Thirty samples of four readings at random times during the week

 were taken. These data can be found in the worksheet Prob. 8-26 in the C08Data.xlsx file.  

a. Compute the mean and range of each sample, calculate control limits, and plot them on  and R control charts.

b. Does the process appear to be in statistical control? Calculate descriptive statistics that may help you to determine the answer to this question. What evidence is there for your conclusion?

Problem 2

The Chair of the Management Department at UB wants to construct a p-chart for determining whether the five (5) faculty members teaching the course are under control with regards to the number of students who fail in the course. Accordingly, the Chair sampled 200 final grades from last year for each instructor and computed the proportion of failures per instructor as 0.01, 0.05, 0.02, 0.04, and 0.03 respectively. Calculate the centerline and the control limits.

Problem 3

A process at Printwright, Inc.’s largest facility is used to make plastic gears for a computer printer. The data found in the worksheet Prob. 9-15 were gathered by a quality analyst. The gears were designed to be 3.57 ± 0.05centimeters (cm) in diameter.

a. 

A.  Construct a histogram of the data. 

b.What can you observe about the shape of the distribution? 

c. What would you recommend to the production manager based on your analysis?