The length of a shaft is maintained during production by statistical processcontrol technique using X and R charts. After 25 subgroups of 5 shafts areexamined,the result is as follows.AvorareEx = 29840%3DER=270 sinseno S%3Doldet(a) Determine CL, UCL, LCL for X and R charts.neggA mo(b)Estimate the mean 'µ’ and standard deviation ở of the process assuring thátthe process is in statistical control.

Answered: Image /qna-images/answer/bef7af07-2d7f-45ee-81d4-4b8813cc57e4.jpg

Answered: The length of a shaft is maintained…

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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A sample is selected from a population withu = 50. After a treatment is administered to the 16 individuals in the sample, the mean is found to be M = 55 and the standard deviation is s = 8, What is the test statistic for the sample mean?
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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
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pierpio.su 746 The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of u = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was = 32.3 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha: 0 Ομ # 32.3 Ομ > 32.3 Ομ 31 b. At a = 0.04, determine the critical value (2 decimal places): DO 222 nent edell 21 20 Critical Value = thotteslong Tibor que 001,222 por horistil allendizaslong Il sol vesi c. The value of the test statistic (2 decimal places) = ar nadgit о There is 08 21 2/2701220 d. At a = 0.04, select the decision/conclusion: NOOR O Reject the mill hypothesis Ⓒ Fail to reject the null hypothesis Select an answer CO…
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The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness (x) has a normal distribution with a mean of 3 mm and a standard deviation of 0.05 mm. Suppose that the process will be monitored by selecting a random sample of 16 drives from each shift's production and determining x, the mean coating thickness for the sample. (a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is with mean mm and standard deviation 0.0125 mm. (b) When no unusual circumstances are present, we expect x to be within 2? x of 3 mm, the desired value. An x value farther from 3 mm than 2? x is interpreted as an indication of a problem that needs attention. Calculate 3 ± 2? x. 3 − 2? x = mm 3 + 2? x = mm (c) Referring to part (b), what is the probability that a sample mean will be outside 3 ± 2? x just by chance…
A random sample of 17 adult male wolves from the Canadian Northwest Territories gave an average weight x1 = 98.6 pounds with estimated sample standard deviation s1 = 5.6 pounds. Another sample of 26 adult male wolves from Alaska gave an average weight x2 = 88.2 pounds with estimated sample standard deviation s2 = 6.0 pounds. (a) Categorize the problem below according to parameter being estimated, proportion p, mean μ, difference of means μ1 – μ2, or difference of proportions p1 – p2. Then solve the problem. μp μ1 – μ2p1 – p2 (b) Let μ1 represent the population mean weight of adult male wolves from the Northwest Territories, and let μ2 represent the population mean weight of adult male wolves from Alaska. Find a 99% confidence interval for μ1 – μ2. (Use 1 decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of…

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