Given :n=4(the subgroup sample size)
Xbar of sample 1 =AVERAGE(C4:F4)=12.038
(Drag this cell formula down for rest of the samples)
Range of sample 1 =MAX(C4:F4)-MIN(C4:F4)=0.13
(Drag this cell formula down for rest of the samples)
X-double bar=AVERAGE(G4:G6)=12.00
Rbar=AVERAGE(H4:H6)=0.24
In X chart ,
UCLx=X-bar bar +A2*Rbar=H9+H11*H10=12.2
LCLx=X-bar bar -A2*Rbar=H9-H11*H10=11.8
In R chart,
UCLr=D4 *R-bar=2.282*0.24=0.55
LCLr=D3*R-bar=0*0.24=0
Based on X-bar chart ,all the sample means(Xbar values) are within the control limits.Hence,the process is in control.
Based on R chart ,all the sample ranges are within the control limits.Hence,the process is in control.
Therefore,the process is in control.
Calculations are as shown below:

Step 3: Monitoring the process 5. Subsequently, samples of 4 bottles were taken from filling line....
please answer number 24 part A and for part B answer it in
equation form, not graph. thank you.
Process Capability Sample 24. The production manager at Sunny Soda, Inc. is inter- ested in tracking the quality of the company's 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on the label shows 12 ounces as the serving size. The design standard for the product calls for a fill...
Step 3: Monitoring the process 5. The following two samples were collected this morning. The parts were measured and the following results were obtained. Use these data to check for process control. Is the process in control? Why? Units Sample stats Sample 1 2 3 4 5 Hypothesis conclusions Decision Decision Decision about X-bar about R about the chart chart process (in control or (in control or in control out of out of or out of control) control) control) X-bar...
3. The production manager at Sunny Soda, Inc, is interested in tracking the quality of the y's 12 -ounces bottle filling line. The bottles must be filled within the tolerances set compan for the dietary information on the label shows 12 ounces as the serving size. The design standard for the product calls for a fill level of 12.00+ 0.10 ounces. The manage collected the following sample data (in fluid ounces per bottle) on the production process: A2 0.729, D,-0.0,...
Quality Associates, Inc., a consulting firm, advises its clients
about sampling and statistical procedures that can be used to
control their manufacturing processes. In one particular
application, a client gave Quality Associates a sample of 800
observations taken during a time in which that client’s process was
operating satisfactorily. The sample standard deviation for these
data was .21; hence, with so much data, the population standard
deviation was assumed to be .21. Quality Associates then suggested
that random samples of...
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 9.104 0.044 7 9.103 0.021 2 9.100 0.051 8 9.103 0.058 3 9.089 0.042 9 9.097 0.039 4 9.108 0.037 10 9.103 0.038 5...
Sample 1|Sample 2 Sample 3 Sample 4 11.91 11.55 11.62 11.62 11.69 11.52 11.59 11.75 11.82 1.90 11.97 11.64 11.80 11.87 12.03 11.94 12.01 11.92 11.99 12.13 12.09 12.16 11.93 12.21 12.32 12.39 11.93 11.85 11.92 11.7611.83 11.7012.38 11.77 11 12.00 12.07 12.04 11.98 12.05 12.30 12.37 12.18 12.25 11.97 12.17 12.24 11.85 11.92 12.30 12.37 12.15 12.22 12.02 11.36 12.02 11.75 12.05 11.95 12.18 12.14 11.72 12.07 12.05 11.85 11.64 12.16 12.39 11.65 12.11 11.90 12.22 11.56 11.88 11.95...
From a process known to be in control, 6 samples of 4 units each were taken at random intervals and the units in the samples were weighed. The mean (Xbar) and range (R) for each of the six samples are given in the following table. Sample Mean Range 1 5.2 0.7 2 4.6 1.1 3 4.1 1.2 4 4.7 1.1 5 4.6 0.8 6 4.4 0.9 a. Calculate the 3-sigma Xbar-chart and R-chart control limits. b. Calculate the mean (Xbar)...
Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures that can be used to control their manufacturingprocesses. IN one particular application, a client game quality associates a sample of 800 observations taken during a time in which that client's process wasoperating satisfactorily. The sample standard deviation for there data was .21 ; hence, with so much data, the population standard deviation was assumed to be .21.Quality associates then suggested that random samples of size 30...
Five samples of size 4 were taken from a process. The average of the range values was 2.35. The average of the sample means was 19.64. What is the upper control limit of the X-bar chart? a. 21.35 b. None of the responses provided is correct. c. 33.72 d. 21.00 e. 26.94
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: Sample n number of defective items in the sample 1 15 1 2 15 1 3 15 1 4 15 0 5 15 2 6 15 3 7 15 1 8 15 0 9 15 2 10 15 1 a. Determine the p, Sp, UCL and LCL...