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Refer to Exercises 8 and 9, and now employ control limits based on using the sample ranges to estimate o. Does the process appear to be in control? Reference Exercises 8 The table below gives data on moisture content for specimens of a certain type of fabric. Determine control limits for a chart with center line at height 13.00 based on o = .600, construct the control chart, and comment on its appearance. O = .600, Reference Exercises 9 Refer to the data given in Exercise 8, and construct a control chart with an estimated center line and limits based on using the sample standard deviations to estimate o. Is there any evidence that the process is out of control?The accompanying table gives sample means and standard deviations, each based on n = 6 observations of the refractive index of fiber-optic cable. Construct a control chart, and comment on its appearance. [Hint: Xx = 2317.07 and Es = 30.34.]and Day Day 95.47 1.30 13 97.02 1.28 97.38 .88 14 95.55 1.14 HAWN- 96.85 1.43 15 96.29 1.37 96.64 1.59 16 96.80 1.40 96.87 1.52 17 96.01 1.58 96.52 1.27 18 95.39 98 96.08 1.16 19 96.58 1.21 96.48 79 20 96.43 .75 96.63 1.48 21 97.06 1.34 10 96.50 80 22 98.34 1.60 11 97.22 1.42 23 96.42 1.22 12 96.55 1.65 24 95.99 1.18 Day I Day 95.47 1.30 13 97.02 1.28 97.38 .88 14 95.55 1.14 96.85 1.43 15 96.29 1.37 96.64 1.59 16 96.80 1.40 96.87 1.52 17 96.01 1.58 96.52 1.27 18 95.39 .98 96.08 1.16 19 96.58 1.21 96.48 .79 20 96.43 75 96.63 1.48 21 97.06 1.34 10 96.50 .80 22 98.34 1.60 11 97.22 1.42 23 96.42 1.22 12 96.55 1.65 24 95.99 1.18Refer to Exorcise 11. An assignable cause was found for the unusually high sample average mirciva index on day 22.Rocompute control limits after deleting the data from this day. What do You conclude? Reference exercise 11 The accompanying table gives sample means and standard deviations, each based on n . G observations of the refractive index of fiber-optic cable. Construct a control chart, and comment on its appearance. [Him So =3170 ONE. = 3034.Jand Day F Day 95.47 1.30 13 97.02 1.28 97.38 14 05 55 1.14 96.85 1.43 96.29 1.37 96.64 1.59 96.80 96.87 1.52 17 9601 1.SH 96.52 1.27 95.39 1.16 19 96 SH 1.21 96.AH .79 96.43 .75 96.61 1.48 21 97.06 1.34 10 96.50 12 98.34 1.60 11 97.22 1.42 96.42 1.21 12 96.55 1.65 24 95.90 Day 95.47 1.30 13 97.02 1.28 97.38 14 95.55 1.14 96.85 1,43 15 96.29 1.37 96.64 1.59 In 96.80 96.87 1.52 17 96,01 1.58 96.52 1.27 95.39 96.08 1.16 19 96.5H 1.21 96 48 179 20 96,43 .75 96.63 1/48 21 97.06 1.34 10 96.50 . HO 22 98.34 1.60 11 97.22 1.42 23 90.42 1.22 12 96.55 1.65 24 95.99 1.18Some sources advocate a somewhat more restrictive type of doubling-sampling plan in which r = G + 1; that is, the lot is rejected if at either stage the (total)) number of defectives is at least r (see the book by Montgomery). Consider this type of sampling plan with n, = 50, n, = 100, G, = 1, and r, = 4. Calculate the probability of lot acceptance when p = _02, 05, and .10.