Question

The following table provides data for 20 samples each of size five. Sample x1 x2 x3...

  1. The following table provides data for 20 samples each of size five.

Sample

x1

x2

x3

x4

x5

1

4.960

4.946

4.950

4.956

4.958

2

4.958

4.927

4.935

4.940

4.950

3

4.971

4.929

4.965

4.952

4.938

4

4.940

4.982

4.970

4.953

4.960

5

4.964

4.950

4.953

4.962

4.956

6

4.969

4.951

4.955

4.966

4.954

7

4.960

4.944

4.957

4.948

4.951

8

4.969

4.949

4.963

4.952

4.962

9

4.984

4.928

4.960

4.943

4.955

10

4.970

4.934

4.961

4.940

4.965

11

4.975

4.959

4.962

4.971

4.968

12

4.945

4.977

4.950

4.969

4.954

13

4.976

4.964

4.970

4.968

4.972

14

4.970

4.954

4.964

4.959

4.968

15

4.982

4.962

4.968

4.975

4.963

16

4.961

4.943

4.950

4.949

4.957

17

4.980

4.970

4.975

4.978

4.977

18

4.975

4.968

4.971

4.969

4.972

19

4.977

4.966

4.969

4.973

4.970

20

4.975

4.967

4.969

4.972

4.972

  1. Using all the data, find control limits for X and R charts, construct the control chart, and plot the data. (10 pts)
  2. Does this process appear in statistical control? Briefly explain why or why not. (5 pts)
  3. Identify out-of-control points. If necessary, recompute the control limits after removing the outliers. What do you conclude? (10 pts)
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Find mean and range of the samples.

A2,D3 and D4 measures:

Contol Limits:

Control Limits, X-bar Chart
LCL UCL Mean
4.957 4.965 4.961
Control Limits, R Chart
LCL UCL R-bar Range
0.009109 0.035 0.022 0.014

Does this process appear in statistical control? Briefly explain why or why not. (5 pts)

No the process is not in control

Thre are few sample mean's and range are above the upper control limit

Identify out-of-control points. If necessary, recompute the control limits after removing the outliers. What do you conclude? (10 pts)

X-Bar out-of-control points:

Sample 11: 4.967

Sample 13: 4.970

Sample 15: 4.970

Sample 17: 4.976

Sample 18: 4.971

Sample 19: 4.971

Sample 20: 4.971

R charts out-of-control points:

Sample 3: 0.042

Sample 4: 0.042

Sample 9: 0.056

recompute the control limits after removing the outliers.

Control Limits, X-bar Chart Control Limits, R Chart
LCL UCL Mean LCL UCL R-bar Range
4.949 4.960 4.955 0.009339 0.042 0.026 0.014

Now the process will be in control...

Formula Ref:

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose a simple random sample from a normal population yields the following data: x1 = 20,...
Suppose a simple random sample from a normal population yields the following data: x1 = 20, x2 = 5, x3 = 10, x4 = 13, x5 = 17, x6 = 18. Find a 95% confidence interval for the population mean μ. A. [11.53, 16.13] B. [10.03, 17.63] C. [9.32, 18.34] D. [7.91, 19.75] E. other value SHOW WORK
Given the following sample data, what would be the Upper and Lower +/- 3 Sigma Control...
Given the following sample data, what would be the Upper and Lower +/- 3 Sigma Control Limits for the corresponding X-bar chart? Sample Obs X1 Obs X2 Obs X3 Obs X4 Obs X5 Obs X6 1 36 20 32 28 21 40 2 31 38 35 38 33 32 3 33 28 36 31 25 25 4 38 25 32 40 29 39 5 38 30 28 30 31 31
An analyst is running a regression model using the following data: Y x1 x2 x3 x4...
An analyst is running a regression model using the following data: Y x1 x2 x3 x4 x5 x6 4 1 5 0 -95 17 12 10 5 8 1 -27 7 10 32 1 7 0 -82 0 9 2 2 7 0 17 5 10 9 3 9 1 -46 5 11 Excel performs the regression analysis, but the output looks all messed up: For example the F statistic cannot be computed, standard errors are all zero, etc etc....
1.       Twelve samples, each containing five parts, were taken from a process that produces steel rods....
1.       Twelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod is the sample was determined. The results were tabulated and sample means and ranges were computed. Sample Sample Mean (in.) Range (in.) Sample Sample Mean (inches) Sample Range (inches) 1 10.001 0.011 2 10.003 0.014 3 9.995 0.007 4 10.007 0.022 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.006 0.014 9 9.994 0.005 10 10.002 0.010...
A company collects 20 samples with 100 eggs in each sample. They want to construct a...
A company collects 20 samples with 100 eggs in each sample. They want to construct a P chart to track the proportion of broken eggs in each sample. The table below shows the number of defective eggs per sample. Sample Eggs 1 3 2 5 3 3 4 4 5 2 6 4 7 2 8 6 9 4 10 9 11 2 12 6 13 5 14 1 15 5 16 0 17 2 18 6 19 2 20...
Given here are data for a dependent variable and four potential predictors. y x1 x2 x3...
Given here are data for a dependent variable and four potential predictors. y x1 x2 x3 x4 x5 96 8 60 2.4 48 51 73 6 64 2.1 42 43 108 2 76 1.8 34 20 124 5 74 2.2 11 14 82 6 50 1.5 61 29 89 9 57 1.6 53 22 76 1 72 2 72 38 109 3 74 2.8 36 40 123 2 99 2.6 17 50 125 6 81 2.5 48 55 101 2...
y   x1   x2   x3   x4 64   74   22   24   17 43   63   29   15   30 51  ...
y   x1   x2   x3   x4 64   74   22   24   17 43   63   29   15   30 51   78   20   9   25 49   52   17   38   29 39   45   12   19   37 Consider the set of dependent and independent variables given below. Perform a best subsets regression and choose the most appropriate model for these data. Find the most appropriate model for the data. Note that the coefficient is 0 for any variable that is not included in the model. y= _____+...
Consider the following linear program Max 5x1+5x2+3x3 St x1+3x2+x3<=3 -x1+ 3x3<=2 2x1-x2 +2x3<=4 2x1+3x2-x3<=2 xi>=0 for...
Consider the following linear program Max 5x1+5x2+3x3 St x1+3x2+x3<=3 -x1+ 3x3<=2 2x1-x2 +2x3<=4 2x1+3x2-x3<=2 xi>=0 for i=1,2,3 Suppose that while solving this problem with Simplex method, you arrive at the following table: z x1 x2 x3 x4 x5 x6 x7 rhs Row0 1 0 -29/6 0 0 0 11/6 2/3 26/3 Row1 0 0 -4/3 1 0 0 1/3 -1/3 2/3 Row2 0 1 5/6 0 0 0 1/6 1/3 4/3 Row3 0 0 7/2 0 1 0 -1/2 0...
QUESTION 20 Five samples of size 12 were collected. The data are provided in the following...
QUESTION 20 Five samples of size 12 were collected. The data are provided in the following table: Sample number 1 2 3 4 5 Sample mean 4.80 4.62 4.81 4.55 4.92 Sample standard deviation 0.30 0.33 0.31 0.32 0.37 The upper control limit (UCL) and lower control limit (LCL) for an s-chart are: 1.LCL = 0.0971, UCL = 0.5868. 2.LCL = 0.1154, UCL = 0.5366. 3.LCL = 0.1011, UCL = 0.6109. 4.LCL = 0.1034, UCL = 0.6246. 5.LCL = 0.0994,...
The following are quality control data for a manufacturing process at Kensport Chemical Company. The data...
The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle. Sample x R 1 95.72 1.0 2 95.24 0.9 3 95.18 0.7 4 95.42 0.4 5 95.46 0.5 6 95.32 1.1 7 95.40 0.9 8 95.44 0.3 9 95.08 0.2 10 95.50 0.6 11 95.80 0.6 12 95.22 0.2 13 95.58 1.3 14 95.22 0.6 15 95.04 0.8 16...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT