5-Control charts for x ands have been maintained on a process and have exhibited statistical control. Thesample size is n = 6. The control chart parameters are as follows:ChartUCL-708.20Center line - 706.00LCL-703.80s ChartUCL-3.420Center line - 1.738LCL -0.052(a) Estimate the mean and standard deviation of the process.(b) Estimate the natural tolerance limits for the process.(c) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709,estimate the fraction nonconforming.(d) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is theprobability of an out-of-control signal occurring on the first sample following the shift?(e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent sample?

The sample size, The control chart parameters: chart,s: charts chartUCL=708.20UCL=3.420Center…

Answered: 5- Control charts for x and s have been…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Body mass index (BMI) is a medical screening tool that measures body fat in an individual based on height and weight. The following data sets include four random samples of BMI measurements. Each sample includes the measurements of 7 individuals. Use the range rule of thumb to estimate the standard deviation, then determine which sample has the most variation. Sample 1 25.8,39.2,32.2,18.7,22.7,28.8,25.4 Sample 2 24.5,33.3,31.7,45.9,23.4,28.2,25.8 Sample 3 30.8,19.2,29.9,25.6,28.8,31.0,27.3 Sample 4 31.8,23.9,29.1,52.6,23.6,31.1,20.6
DII Given below are the sample means for fifteen samples consisting of five data values each. Assume that the mean of the sample means is ten and the computed values for the UCL and LCL of the chart are 15 and 5, respectively. Below is the chart. Is this process in statistical control? Why or why not? Select the best answer choice. Sample 1 2 3 Mean 9 11 6 17+ 16- 15 14+ 13+ 12+ 11+ 10- 9. 8+ 7- 6 5 4. 3- 2- 1- R Submit Question $ F4 % -1 + O No, because there are eight consecutive points all above or all below the centerline. O No, because there is a point lying beyond the upper or lower control limit. O No, because there is a pattern, trend, or cycle that is obviously not random. O No, because more than one of the answer choices above are correct. O Yes, this process is within statistical control. 5 T 4 5 12 9 ▬▬ FS 6 7 8 11 7 8 6 6 Y H 49 9 10 12 16 F6 8 & 7 9 U 11 12 6 13 J 10 F7 11 13 14 15 12 11 7 8 12 PrtScn 13 FB K 15 9 UCL centerline LCL Home 16 Q F9 L ) End 0 F10 A PgUp ☎
You have have sampled five production lines operating and you wish to estimate the sample standard deviation of the five lines. Given the data below, provide your estimate of the sample standard deviation to the first decimal point, that is, 0.9 instead of 1. Month Production Line 1 51 Line 2 145 Line 3 70 Line 4 119 Line 5 92
Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 35 17 2 30 53 6 20 19 2 26 19 8 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: μ1 = μ2 = μ3; H1: All three means are different.Ho: μ1 = μ2 = μ3; H1: Exactly two means are equal. Ho: μ1 = μ2 = μ3; H1: Not all the means are equal.Ho: μ1 = μ2 = μ3; H1: At least two means are equal. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.)…
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The best depiction of a population characteristic is a(an): Dependent variable Statistic Independent variable Parameter
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?
Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 33 18 10 27 57 4 22 18 2 29 26 13 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom? (numerator) (denominator) Make a summary table for your ANOVA test. Source ofVariation Sum ofSquares Degrees ofFreedom MS…

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