Question: The data in worksheet attached list electrical resistance values (ohms) for 50 samples of size 5 that were taken from Babbage Chips, Inc.'s computer chip-making

The data in worksheet attached list electrical resistance values (ohms) for 50 samples of size 5 that were taken from Babbage Chips, Inc.'s computer chip-making process over a 25-hour period.

17.95411.1958.16010.0409.102
26.3417.96610.6788.88311.181
38.15410.5968.6609.9918.856
410.1197.46310.0738.0747.307
58.4207.0419.82911.0028.698
69.79111.6167.72611.44511.557
78.4669.3776.9108.9987.835
88.6838.5628.2848.7197.420
910.6419.3839.9229.0758.877
108.9949.96810.0359.7668.105
119.2159.4059.1867.5807.734
128.0739.34310.0278.63410.266
1310.6869.75010.5488.36310.936
1410.7957.9929.06311.2728.367
159.94010.6349.3369.74410.267
169.5248.5299.6828.1349.470
1710.0907.8019.2819.00511.234
188.2308.4218.4699.6128.758
198.8648.66810.7609.3288.581
209.0049.2069.0367.3309.670
219.7288.04510.7209.7617.910
226.9108.9229.4448.2229.800
239.0478.8897.0639.4397.132
248.4139.92710.6389.8889.611
258.7128.3907.72110.3499.501
2610.1668.7249.76210.1239.349
279.9127.64010.2039.29510.703
289.8248.62810.9669.5907.553
299.1759.1139.4158.95612.057
307.0778.1738.0508.2848.725


a. Compute the mean, standard deviation, mode, kurtosis and skewness for the data.

b. Calculate the control limits and construct the x- and R-charts, using the 30 samples. Is the process under control at that point?

c. Specifications for the process are 9.2 ± 3.2 ohms. If the process is under control, calculate the capability indexes, Cpu, Cpl, Cp, and Cpk. What conclusion can you draw from this?

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