A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 438.0 gram setting. It is believed that the machine is underfilling the bags. A 46 bag sample had a mean of 436.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the variance is known to be 400.00. Enter the decision rule.

Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were:                                                                                                                              Sample Sample Mean​ (in.) Range​ (in.) Sample Sample Mean​ (in.) Range​ (in.) 1 9.602 0.033 7 9.603 0.041 2 9.602 0.041 8 9.605 0.034 3 9.593 0.034 9 9.597 0.027 4 9.606 0.051 10 9.601 0.029 5 9.599 0.031 11 9.603 0.039 6 9.599 0.036 12 9.606 0.047 Part 2 For the given​ data, the x double overbarx ​= 9.6013 inches ​(round your response to four decimal​ places). Part 3 Based on the sampling​ done, the control limits for ​3-sigma x overbarx chart​ are:   Upper Control Limit ​(UCL Subscript x…

A shirt manufacturer buys clothes by the 100-yard roll from a supplier. For setting a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier.   Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 3 5 2 6 5 4 6 3 4 5   Which type of control chart should be used? Construct a control chart with two-sigma control limits. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? Explain and show work

A microbrewery tracks its output in gallons over a five hour period for each of seven days. Their data is in the table below, and they went ahead and calculated the averages and ranges for the individual samples and the overall averages Their data and the factors tables can be found below. Calculate the upper (LCL) and lower (UCL) control limits for X bar, and R charts for their process. Day (X values) X̅   R 1 46 49 45 47 48 47.0   4 2 43 52 46 52 44 47.4   9 3 45 55 46 51 43 48.0   12 4 39 44 42 43 40 41.6   5 5 45 50 48 50 42 47.0   8 6 44 48 45 45 40 44.4   8 7 41 44 52 50 47 46.8   11           X̿ = 46.03 R̅ 8.14     Xbar chart - LCL = 40.48, UCL=46.25, R chart LCL=0, UCL=14.01 Xbar chart - LCL = 44.21, UCL=48.41, R chart LCL=0.49, UCL=17.18 Xbar chart - LCL = 42.61, UCL=49.45, R chart LCL=0.65, UCL=15.63 Xbar chart - LCL = 44.21, UCL=51.62, R chart LCL=0, UCL=17.18 Xbar chart - LCL = 41.31, UCL=50.75, R chart LCL=0, UCL=17.18

Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean of 8.00 and a standard deviation of .04. Your desired performance is = 8.0 ± 30, where o = 0.047. Is the following statement true or false? Can Boardman produce the valve within the specified tolerance? (TRUE=yes, it can; FALSE=no, it cannot) O True O False

Which element is associated with control charts? A) Correlation B) Upper and lower limits C) Hypothesis testing D) Relability index

If the objective function exposure quality of 90 changes by 65 ETV will not be 0.  Should the 90 be 25 or 155

Suppose that a quality characteristic is normally distributed with specifications at 100 ± 20. The process standard deviation is 6.(a) Suppose that the process mean is 100. What are the natural tolerance limits? Calculate Cp and Cpk and interpret these ratios. What fraction of parts do you expect to be defective?(b) Suppose that the process mean is 106. What are the natural tolerance limits? What is thefraction defective? Calculate Cp and Cpk and interpret these ratios.

Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at Emmanual​ Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results​ were:                                                                                                                              Sample Sample Mean​ (in.) Range​ (in.) Sample Sample Mean​ (in.) Range​ (in.) 1 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given​ data, the x ​= enter your response here inches ​(round your response to four decimal​ places).   The control limits for the ​3-sigma ​ R-chart are ​(round all intermediate calculations to three decimal places before…

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