Q.7. (15 Pts) In a manufacturing process of an analgesic drug, the mean amount of the

active ingredient in a tablet is 150 mg, and the standard deviation is 6.2. The company

has received an order of this drug with specification of 140 mg - 160 mg. Find

a. the percentage of tablets expected to be below the specification limit.

b. the percentage of tablets expected to be above the specification limit.

c. the percentage of tablets expected to be within the specification limit.

d. The company wants to have at least 97% of the product within the specification

limit. What should be the target standard deviation of the process to achieve this.

Q.8. (20 pts)

a) (10 pts) Calculate the control chart parameters - UAL, UWL, LAL, and LWL for

X-bar and R charts - from the following data of measurements of screw head in mm.

For each sample, four measurements were done (not shown) and their mean and range

are shown in the table. Make the charts and analyze them. Show all your work.

Sample Number Mean of 4 measurements Range of 4 measurements 1 1.0633 0.007 2 1.0625 0.010 3 1.0865 0.010 4 1.0650 0.005 5 1.0590 0,008 O 1.0720 0.004 7 1.0610 0.003 8 1.0620 0.012 9 1.0665 0.006 10 1.0585 0.012 11 1.0730 0.011 12 1.0610 0.007