Reference Table 6.1

Refer to Table 58.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n = 5) taken. The population process standard deviation is 1.20 D 4 10 1 10 10 11 8 12 2 10 9 10 11 11 3 14 10 10 Samples 5 6 9 9 9 10 9 11 11 11 9 7 10 12 10 7 8 8 12 10 7 11 9 9 9 9 13 11 9 10 11 12 8 9 10 9 9 8 a) Standard deviation of the sampling means = ounces (round your response to three decimal places). b) With z = 3, the control limits for the mean chart are: UCL: ounces (round your response to three decimal places). LCL-ounces (round your response to three decimal places). c) The control limits for the R-chart are: UCLR-ounces (round your response to three decimal places). LCLR-ounces (round your response to three decimal places). d) Based on the x-chart, is one or more samples beyond the control limits? Based on the R-chart, is one or more samples beyond the control limits? Definition Lower Range, D: Sample Size, 2 3 4 5 6 7 8 9 10 12 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.286 Upper Range, DA 3.288 2.574 2.282 2. 115 2.004 1.924 1.864 1.816 1.777 1.716 0 0 0 0 0.078 0.138 0.184 0.223 0.284 Print Done