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9. Refer to the table of sample values in Section 8.2 Exercise 6 of the text. Find the values of the UCL and LCL for

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9. Refer to the table of sample values in Section 8.2 Exercise 6 of the text.

Find the values of the UCL and LCL for the (x-bar) chart for this data, and round your answers to 3 places after the decimal point.

a.

UCL = 6.744 LCL = 5.275

b.

UCL = 6.835 LCL = 5.185

c.

UCL = 9.678 LCL = 5.742

d.

UCL = 9.796 LCL = 5.860

10.Refer to the table of sample values in Section 8.2 Exercise 6 of the text.

Find the values of the UCL and LCL for the R chart for this data, and round your answers to 3 places after the decimal point.

a.

UCL = 2.341 LCL = 1.595

b.

UCL = 3.786 LCL = 0.150

c.

UCL = 3.668 LCL = 0.268

d.

UCL = 2.387 LCL = 1.549

11. Refer to the table of sample values in Section 8.2 Exercise 10 of the text.

Find the values of the UCL and LCL for the(x-bar) chart for this data, and round your answers to 3 places after the decimal point.

a.

UCL = 5.088 LCL = 3.658

b.

UCL = 4.012 LCL = 3.412

c.

UCL = 4.057 LCL = 3.367

d.

UCL = 5.145 LCL = 3.712

12.Refer to the table of sample values in Section 8.2 Exercise 10 of the text.

Find the values of the UCL and LCL for the R chart for this data, and round your answers to 3 places after the decimal point.

a.

UCL = 1.376 LCL = 0.054

b.

UCL = 1.134 LCL = 0.296

c.

UCL = 1.198 LCL = 0.232

d.

UCL = 1.433 LCL = 0

13. Refer to the table of sample values in Section 8.2 Exercise 6 of the text.

Find the values of the UCL and LCL used in the p chart for this data, and round your answers to 5 places after the decimal point.

Hint: Make sure that you use the EXACT value of(p-bar) in your calculations.

a.

UCL = 0.69914

LCL = -0.21164

b.

UCL = 0.69955

LCL = -0.21155

c.

UCL = 0.69955

LCL = 0

d.

UCL = 0.69914

LCL = 0

14. Refer to the(x-bar) chart in Section 8.2 Exercise 6 of the text.

According to this(x-bar) chart, is the process within statistical control? If not, provide a reason why not.

a.

It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL.

b.

It appears to be within statistical control.

c.

It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points.

d.

It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.

15. Refer to the R chart in Section 8.2 Exercise 6 of the text.

According to this R chart, is the process within statistical control? If not, provide a reason why not.

a.

It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL.

b.

It appears to be within statistical control.

c.

It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points.

d.

It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.

16. Refer to the p chart in Section 8.2 Exercise 6 of the text.

According to this p chart, is the process within statistical control? If not, provide a reason why not.

a.

It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL.

b.

It appears to be within statistical control.

c.

It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points.

d.

It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.

17.Refer to the table of sample values in Section 8.2 Exercise 10 of the text.

Find the values of the UCL and LCL used in the p chart for this data, and round your answers to 5 places after the decimal point.

Hint: Make sure that you use the EXACT value of(p-bar) in your calculations.

a.

UCL = 0.36221 LCL = -0.22021

b.

UCL = 0.36345 LCL = -0.22059

c.

UCL = 0.36345 LCL = 0

d.

UCL = 0.36510 LCL = 0

18. Refer to the(x-bar) chart in Section 8.2 Exercise 10 of the text.

According to this(x-bar) chart, is the process within statistical control? If not, provide a reason why not.

a.

It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL.

b.

It appears to be within statistical control.

c.

It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points.

d.

It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.

19. Refer to the R chart in Section 8.2 Exercise 10 of the text.

According to this R chart, is the process within statistical control? If not, provide a reason why not.

a.

It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL.

b.

It appears to be within statistical control.

c.

It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points.

d.

It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.

20. Refer to the p chart in Section 8.2 Exercise 10 of the text.

According to this p chart, is the process within statistical control? If not, provide a reason why not.

a.

It does not appear to be within statistical control because at least one point is more extreme than the UCL or LCL.

b.

It appears to be within statistical control.

c.

It does not appear to be within statistical control because there is an obvious non-random trend, cycle, or pattern in the points.

d.

It does not appear to be within statistical control because at least 8 consecutive points are located all above or all below the centerline.

image text in transcribedimage text in transcribed
10. Subgroup Sample Values X R 3.56 3.65 3.75 4.05 3.51 3.33 3.61 3.637142857 0.72 3.54 3.81 3.87 3.85 4.17 4.02 4.18 3.92 0.64 3.65 3.66 4.04 3.64 3.93 3.61 4.07 3.8 0.46 0 3.75 3.67 3.68 4.03 4.26 3.74 3.95 3.868571429 0.59 0.143 3.91 3.78 3.72 3.96 3.46 3.62 3.98 3.775714286 0.52 0 3.44 3.45 3.24 3.71 3.80 3.55 3.70 3.555714286 0.56 0.143 3.35 3.67 3.54 3.70 3.73 3.86 3.45 3.614285714 0.51 0 CO 3.84 3.55 3.93 3.59 3.67 3.38 4.02 3.711428571 0.64 0 9 3.79 4.22 4.17 3.56 3.91 3.70 3.96 3.901428571 0.66 0 10 3.61 3.00 3.91 3.31 2.91 3.19 3.84 3.395714286 1.00 0.429 11 3.49 4.17 3.60 3.63 3.34 4.04 3.39 3.665714286 0.83 0 12 3.57 3.71 3.32 3.88 3.38 3.77 3.82 3.635714286 0.56 0 13 4.27 3.52 4.06 3.08 3.53 3.49 3.84 3.684285714 1.19 0.286 14 3.66 3.51 3.45 3.75 3.47 4.11 4.08 3.718571429 0.66 0 15 3.58 3.64 4.19 3.61 3.28 3.37 4.22 3.698571429 0.94 0 16 3.70 3.60 4.38 3.58 3.87 3.39 3.20 3.674285714 1.18 0.286 17 3.94 3.65 3.52 1.35 3.96 3.56 3.65 3.804285714 0.83 0.143 18 3.87 3.62 3.87 3.98 3.92 3.42 3.79 3.781428571 0.56 0 19 3.33 3.94 3.82 3.79 3.78 3.85 3.83 3.762857143 0.61 0 20 4.04 3.66 3.59 3.70 3.46 3.40 3.58 3.632857143 0.64 Averages 3.711928571 0.715 0.071 #10: x chart #10: R chart LLU UCL UCL LCL 0 LCL 0 2 6 8 10 12 14 16 18 20 0 2 4 6 8 10 12 14 16 18 20 0.5 #10: p chart 0.4 UCL 0.3 0.2 0.1 P 19 LCL 2 8 10 12 14 16 18 20 "Defective" products have data values that are less than 3.25 or greater than 4.25.6. Subgroup Sample Values X R 1 6.17 5.62 5.65 5.15 5.62 7.34 5.34 5.66 5.81875 2.19 0.25 5.30 5.34 5.86 6.32 5.88 6.74 5.87 5.17 5.81 1.57 0.375 5.81 6.41 6.96 5.39 7.20 6.03 6.25 6.54 6.32375 1.81 0.125 4 5.29 7.49 5.71 6.47 6.35 5.72 5.44 5.99 6.0575 2.20 0.25 5.82 5.79 6.13 5.71 5.48 5.46 5.37 5.75 5.68875 0.76 0.375 4.62 6.56 5.73 5.70 5.67 5.55 6.01 5.85 5.71125 1.94 0.25 6.12 6.18 6.24 5.68 5.23 5.98 6.98 5.65 6.0075 1.75 0.125 8 6.42 4.89 6.47 5.92 6.49 6.77 5.88 4.67 5.93875 2.10 0.25 5.88 5.92 4.69 6.25 6.16 6.37 5.12 5.11 5.6875 1.68 0.375 10 5.53 5.49 5.59 6.12 5.66 6.57 5.41 7.24 5.95125 1.83 0.5 11 4.03 6.11 7.41 6.31 4.74 5.29 5.64 5.76 5.66125 3.38 0.375 12 5.10 6.11 5.75 5.34 6.03 6.89 6.54 6.03 5.97375 1.79 0.25 13 5.19 7.47 6.83 6.41 4.92 5.88 6.13 6.43 6.1575 2.55 0.25 14 6.86 6.74 4.62 5.31 5.68 5.98 6.01 6.69 5.98625 2.24 0.25 15 5.68 6.08 5.10 5.94 5.93 5.92 6.26 6.61 5.94 1.51 0.125 16 5.66 5.20 6.43 6.55 5.77 6.76 6.74 6.17 6.16 1.56 0.125 17 6.02 7.60 6.04 5.07 4.43 5.31 6.96 6.29 5.965 3.17 0.375 18 6.15 5.58 6.15 5.67 7.61 5.50 5.98 6.89 6.19125 2.11 0.25 19 6.93 6.79 7.09 5.61 6.24 5.77 6.42 6.04 6.36125 1.48 0 20 5.89 7.63 7.08 6.75 7.01 6.89 5.99 7.16 6.8 1.74 Averages 6.0095625 1.968 0.24375 #6: Xchart #6: A chart UCL UCL LCL LCL 0 2 6 8 10 12 14 16 18 20 0 2 4 6 8 10 12 14 16 18 20 #6: p chart 0.8 UCL 8 0.4 02 H LCL 0 2 4 6 8 10 12 14 16 18 20 "Defective" products have data values that are less than 5.6

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