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1. (12 points) The following information is known about a manufacturing process: upper specification limit (USL) = 30 mm, lower specification limit (LSL) = 20 mm, process target = 25 mm, SR = 75 mm, SXbar = 786 mm, total number of subgroups taken M = 30, number of data points per subgroup n = 4. Find C_p, C_pU, C_pL, C_pk, and K.

2. (10 points) The specification limits of a particular manufactured part are 125 mm +/- 7.0 mm. The process mean is 123.5 mm, SR = 175 mm, M = 25, and n = 4. Determine C_P, C_PU, C_PL, and C_PK.

3. (10 points) The diameter of a part has a specification of 0.125 in +/- 0.010 inches. The diameter data was collected in subgroups of 4 in the table below. Use Minitab software to determine C_P, C_PU, C_PL, and C_PK. Submit supporting graphs from Minitab as your answer.

Diameter Measurement Data

1 0.119 0.123 0.119 0.126

2 0.125 0.129 0.121 0.121

3 0.127 0.118 0.124 0.131

4 0.125 0.122 0.119 0.126

5 0.123 0.123 0.123 0.120

6 0.124 0.128 0.121 0.123

7 0.125 0.124 0.119 0.126

8 0.130 0.127 0.125 0.127

9 0.131 0.117 0.119 0.125

10 0.120 0.127 0.123 0.121

11 0.126 0.128 0.123 0.130

12 0.117 0.126 0.124 0.119

13 0.131 0.124 0.125 0.125

14 0.117 0.122 0.126 0.120

15 0.116 0.123 0.119 0.127

16 0.123 0.126 0.130 0.132

17 0.117 0.129 0.125 0.124

18 0.125 0.123 0.130 0.121

19 0.127 0.121 0.118 0.124

20 0.127 0.126 0.118 0.121