Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of 1.200 " plus or minus . 070 ". Currently, the process is performing at a grand average of 1.200" with a standard deviation of 0.010". Calculate the capability index of this process. The Upper C Subscript pk of this process is nothing (round your response to two decimal places).

Step-by-step explanation:

Upper specification limit (USL) = 1.200+0.070 = 1.270

Lower specification limit (LSL) = 1.200-0.070 = 1.130

Mean = 1.200

Standard deviation (SD) = 0.010

Cpl = (Mean - LSL) / (3 x SD) = (1.200-1.130)/(3x0.010) = 0.070/0.03 = 2.33

Cpu = (USL - Mean) / (3 x SD) = (1.270-1.200)/(3x0.010) = 0.070/0.03 = 2.33

Process capability index (Cpk) = Minimum of (Cpu, Cpl)

= Minimum of (2.33, 2.33)

= 2.33

28.07 degrees

Step-by-step explanation:

To figure out these questions, you need to know inverse sin. To solve this question you do inverse sin (8/17) to get 28.07 degrees. You need to apply sin because it is opposite (8) over hypotenuse (17). Then, you need to make it inverse because you are figuring out the angle measure.