what is the type 1 error of an x bar chart with 1 - sigma control...

what is the type 1 error of an x bar chart with 1 - sigma control limits?

what is the type 1 error of an x bar chart with 2 - sigma control limits?

what is the type 1 error of an x bar chart with 3 - sigma control limits?

what is the type 1 error of an x bar chart with 4 - sigma control limits?

Expert Solution

orchestra answered 3 years ago

1. X-bar is an unbiased estimator of µ because a. standard error of X-bar equals sigma/...

1. X-bar is an unbiased estimator of µ because a. standard error of X-bar equals sigma/ square root of n b. expected value of X-bar equals µ c. shape of distribution of X-bar is normal. d. Expected value of X-bar is greater than 1. 2. Suppose professor finds that for 16 randomly selected students the time needed to complete an assignment had a sample mean of 65 minutes and a sample standard deviation of 40 minutes. The 98% confidence interval...

Calculate the control limits for the X-bar chart with 0.005 probability limits (instead of 3-sigma limits)....

Calculate the control limits for the X-bar chart with 0.005 probability limits (instead of 3-sigma limits). That is, here the type I error rate (false alarm rate) is now set to α = 0.005. Use Excel for any calculations, not Minitab. Day x1 x2 x3 x4 x5 1 839 585 583 613 768 2 706 527 956 644 612 3 322 614 807 282 170 4 1001 904 419 522 430 5 259 811 847 603 572 6 681 523...

Solve step-by-step the following: 1) X-bar and R control Chart Subgroup X1 X2 X3 X4 X-bar...

Solve step-by-step the following: 1) X-bar and R control Chart Subgroup X1 X2 X3 X4 X-bar R 1 1.2 1.1 1.1 2.3 2 3.2 1.3 1.3 3.3 3 1.3 1.4 1.3 1.1 4 3.2 1.1 3.3 2 5 2.1 3.2 2.4 2.3 6 3.1 3.1 3.2 3.3 7 3 1 2.2 2.1 8 2.3 1.3 3.1 2.4 9 4 3.3 4 4.3 10 1.2 3.1 1.3 1.3 11 2.2 1.4 1.1 3 12 3.2 2.3 3.1 1.2 13 1.1 3...

An X-bar chart with three-sigma limits has parameters as follows: • UCL = 104 • Center...

An X-bar chart with three-sigma limits has parameters as follows: • UCL = 104 • Center line = 100 • LCL = 96 • n = 9 Suppose that mean of the process quality characteristic shifts to 102, assume standard deviation does not change. (a) What is average run length until the first point is plotted out of control? (b) What is the probability that the control chart would exhibit lack of control by at least the third point plotted?

Solve step-by-step: X-bar and S control Chart Subgroup X1 X2 X3 X4 X-bar S 1 1.2...

Solve step-by-step: X-bar and S control Chart Subgroup X1 X2 X3 X4 X-bar S 1 1.2 1.3 1.2 2.2 2 3.3 1.2 1.2 3.2 3 1.2 1.3 1 1.3 4 3.4 1.2 3.1 2.1 5 2.3 3.3 2.2 2.3 6 3.1 3.3 3 3.1 7 3.1 1.2 2.1 2.4 8 2.4 1.4 3 2.4 9 4.1 4.2 4.1 4.2 10 1.3 3 1.3 1.3 11 2.3 1 1.4 3.3 12 3.3 2.4 3.3 1.1 13 1.4 3.4 1.3 3.2 14...

A tomato farmer has been using an X-bar and R chart to control the yield per...

A tomato farmer has been using an X-bar and R chart to control the yield per plant on her highly-mechanized farm. The yield is table over time in both variability and location. The X-bar chart has a centerline value of 10.50 pounds and the upper control limit is 14.20 pounds. Find the value of the lower control limit of the X-bar chart? Find the value of the upper and lower one-sigma and two-sigma zones of the X-bar chart? Find the...

8. What is the X bar chart used for? 9. What is the first step in...

8. What is the X bar chart used for? 9. What is the first step in the construction of the X bar chart? 11. What is the second step in the construction of the X bar chart? 13. What is the third step in the construction of the X bar chart? 14. What is a homogeneous sub-group?

Given the data provided below, calculate the control limits (X-bar and r-chart, Capability Index, create a...

Given the data provided below, calculate the control limits (X-bar and r-chart, Capability Index, create a control chart, and calculate the percentage of units that are expected to be out of spec (z-value). Please show all work for how all calculations were computed. Filling Line Checks - ounces Specification: 12 ounces min; max - 15 ounces Sample Sample Times Number 1pm 2pm 3pm 4pm 5pm 6pm 7pm 8pm 1 12.5 12.4 12.4 12.8 13 12.8 12.8 13 2 12.4 12.4...

25. What is the seventh step in the construction of the X bar chart? 26. Explain...

25. What is the seventh step in the construction of the X bar chart? 26. Explain how the centerline and control limits of the R chart are mathematically calculated. 28. What is the eighth step in the construction of the X bar chart? 35. What is the ninth step in the construction of the X bar chart? 36. What are the four steps taken to revise the charts?

What is type 1 error vs type 2 error? What are the differences? How does this...

What is type 1 error vs type 2 error? What are the differences? How does this apply? Can you give examples? How do I apply this and what is worse? Sorry, just trying to understand the concept. Thank you!

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