11) Walting time for patients at a medical clilnic is moniltored using x-bar and

Question

11) Walting time for patients at a medical clilnic is moniltored using x-bar and R charts. Ten samples of ne 8 observations have bean gathered with the following results. What Is the value of R-bar? Mean 72.85 73.36 53.30 67.14 54.19 53.76 46.23 56.21 56.88 68.71 Range 52.192 59.742 35.048 39.466 47.002 52.686 34.167 55.783 30.238 38.742 Sample 10 12) Waliting time for patients at a medical clinic is monitored using x-bar and R charts. Ten samples of n 7 observations have been gathered with the following results. Using this data to establish control charts, what is the lower control limit for the x-bar chart? Sample Mean 51.30 74.80 65.63 58.40 45.18 51.12 3.19 47.61 64.37 53.47 Range 34.432 33.013 48.043 37.545 46.389 46.715 58.735 34.220 59.160 55.687 10 13) Waiting time for patients at a medical clinic is monitored using x-bar and R charts. Ten samples of ne8 observations have been gathered with the following results. Using this data to establish control charts, what is the upper control limit for the x-bar chart? Sample Mean 68:18 62.55 133 48.73 67156 56.78 Range 44.494 46 706 2. 50.909 55.179 44.417 34.133 32.195 451359 54.85

Explanation / Answer

11. Given n=6

Overall Mean (x)= 602.43/10= 60.243

Average range (r)= 445.066/10= 44.5066

From the Table of Control Chart Constants:

A2 (6)= 0.483

D2(6)= 2.534

D3(6)= 0

D4(6)= 2.004

For X Bar Chart:

For R Bar:

12. Given n=7

Overall Mean (x)= 575.07/10= 57.507

Average range (r)= 451.93/10= 45.193

From the Table of Control Chart Constants:

A2 (7)= 0.419

D2(7)= 2.704

D3(7)= 0.076

D4(7)= 1.924

For X Bar Chart:

For R Bar:

13. Given n=8

Overall Mean (x)= 577.03/10= 57.703

Average range (r)= 437.85/10= 43.78

From the Table of Control Chart Constants:

A2 (8)= 0.373

D2 (8)= 2.847

D3 (8)= 0.136

D4 (8)= 1.864

For X Bar Chart:

For R Bar:

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