6.28. Control charts for I and R are maintained on aprocess. After 20 preliminary subgroups each of size3 are evaluated, you have the following data:2020Σ1502 ΣR =60i=li=1(a) Set up the control charts using these data.(b) Assume that the process exhibits statistical con-trol. Estimate the process mean and standarddeviation.(c) Suppose that the quality characteristic is nor-mally distributed with specifications at 275 ± 6.Estimate the fraction nonconforming producedby this process.(d) How much reduction in process variability wouldbe required to make this a Six Sigma process?

Answered: Image /qna-images/answer/0b655209-3d3b-4056-8744-e60f99225446.jpg

Answered: 6.28. Control charts for I and R are…

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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Thirty Asian Utility vehicles were tested for biodiesel fuel efficiency (in km/liter). The following frequency distribution was obtained Calculate the exact kurtosis (population) and excess kurtosis of the population (+ interpretation), sample kurtosis for this grouped data.
21-6. A daily sample of 30 times was taken over a period of 14 days in order to establish attributes control limits. If 21 defectives were found, what should be the upper and lower control limits the proportion of defectives ?
2. Suppose it is claimed that amongst the population of STM1001 students, the number of items bought online in the past year is normally distributed with a mean of u 20 and variance of o2 = 25. Further suppose that we wish to study the mean of the population by taking a random sample of n = 61 STM1001 students. Using this information, write down the distribution of the sample mean, X. Note: In each box, enter a single number rounded to four decimal places where relevant. (2 marks) X~ N( 20 0.4098 2 4. Again following on from the previous question, what is the probability that when we take a random sample of n = 61 STM1001 students, the sample mean would be either greater than 20.3521 or less than 19.6479? [int. orty will b own that
Suppose that the average salary of health systems professionals is normally distributed with µ=KES 40,000 and σ = KES 10,000. (20 Marks) What proportion of professionals will earn KES 24,800 or less? What proportion of professionals will earn KES 53,500 or more? What proportion of professionals will earn between KES 45,000 and KES 57,000? Calculate the 80th percentile. Calculate the 27th percentile
2.2. Let Y₁, Y₂Yn denote a random sample from a gamma distribution with each Y-gamma (0; B) with known. Find a sufficient statistic for 8.
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1.3.2 Consider the output given below that was obtained using the One Proportion applet. Use information from the output to find the standardized statistic for a sample propor- tion value of 0.45. Probability of success (n): 0.30 Sample size (n): 25 Number of samples: 1000 O Animate Draw Samples Total = 1000 180 Mean = 0.301 SD = 0.091 120 60 0.08 0.16 0.24 0.32 0.40 0.48 0.56 0.64 Proportion of success
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Example 3: Last year, the population mean of electric energy consumption in city A was 150kwh/month. After a public energy savings awareness campaign, obserse on electric energy 867 Carry consumption of some households. 100- 120- 140- 160- (KWH/month) Households 120 140 160 180 11 9. 3 Assuming that X is normally distributed, does the data suggest that the population mean of electric energy consumption decrease? Carry out a test using a significance level of .05. Ans: t=-3,37 5E
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