Q1) Samples of size 4 were taken from a process that had a target of 25 ounces with upper and lower specification limits of 30 ounces and 20 ounces respectively.

Using Type-I error alpha of 5% please answer the following (use numbers closest to the 2nd digit after the point; i., e., X.xx):

a- What are the X bar chart CL, UCL, and LCL? (3 points)

b- What are the R chart CL, UCL, and LCL? (3 points)

c- Type-I error gives us the width of X bar chart, what is the suggested width in our case and do we need it to solve for this problem? (2 points)

d- What are the USL and LSL in this case? What is the difference between them and the UCL and LCL limits you calculated earlier? (2 points)

Sample 1	21.9	22.9	25	25.3
Sample 2	26.9	25.9	23.6	23.2
Sample 3	25.5	23.7	26.9	29.8
Sample 4	23.9	23	24.3	22.3
Sample 5	24.7	28.4	29.7	23
Sample 6	25.1	29.5	23	26.2
Sample 7	24.5	27.1	19	28.1
Sample 8	23	24.9	24.2	20.2
Sample 9	22	27.6	28.6	27.2
Sample 10	23	26.3	21	20.6