A control chart for the number of nonconformingpiston rings is maintained on a forging process withnp = 16.0. A sample of size 100 is taken each day andanalyzed.(a) What is the probability that a shift in the processaverage to np = 20.0 will be detected on the firstday following the shift? What is the probabilitythat the shift will be detected by at least the endof the third day?(b) Find the smallest sample size that will give apositive lower control limit.

Given that A control chart for the number of nonconforming piston rings is maintained on a forging…

Answered: A control chart for the number of…

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 random number generator software outputs a number from 0 to 1. If the numbers are truly randomly-generated then the population mean must be 0.5. Suppose you ran a command to generate 150 numbers and you obtained a mean of 0.536 and a standard deviation of 0.312. At 1% level of significance, test the hypothesis that the numbers are not truly randomly-generated. 1. Test Stat: 2. Critical Region: a. T> abs (2.567) b. T abs (2.326) d. T> 2.567 3. Conclusion: At 1% level of significance a. the numbers are truly randomly generated b. no evidence that the numbers are truly randomly-generated
A random sample of size 23 is selected from Normnal distribution with mean 16 and unknown variance. If the sample standard deviation S is 10, then the (95.)th percentile of the sample mean is closest to: O a. 16.80 O b. 13.20 O c. 19.60 O d. 17.40 O e. 12.40
Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter). Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter? Determine the descriptive statistics of the sample. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated? RED 4.80 4.73 4.47 4.32 4.95 3.95 4.68 4.60 4.09 5.47 4.44 4.15 5.07 4.38 5.22 4.22 4.32 4.30 6.34 5.60 4.93 5.18 3.54 4.61 4.22 4.99 5.23 4.01 4.07 5.06 4.30 4.28 4.76 4.14 4.61 4.67 4.36 4.28 4.59 4.77 3.86 5.38 5.03 4.60…
The average take-out order size for Ashoka Curry House restaurant is shown. Assuming equal variances, at α = 0.05, is there a significant difference in the order sizes? Customer Order Size (dollars) Statistic Friday Night Saturday Night Mean order size x¯1x¯1 = 22.32 x¯2x¯2 = 25.56 Standard deviation s1 = 4.35 s2 = 6.16 Number of orders n1 = 13 n2 = 18 (a) Choose the appropriate hypotheses. Assume μ1 is the average order size on Friday night and μ2 is the average order size on Saturday night. a. H0: μ1 − μ2 = 0 vs H1: μ1 − μ2 ≠ 0b. H1: μ1 − μ2 ≠ 0 vs H0: μ1 − μ2 = 0 a b (b) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject the null hypothesis if tcalc > or tcalc < . (c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Do not round your intermediate values and round your final answer to 4 decimal places.) tcalc (d-1)…
What is b
The diameter of a cylinder follows a normal distribution with mean of 10cm and the variance of 0.04 cm2. a) Construct a Shewhart chart (X-Bar chart) to monitor the process mean of cylinder diameter with a sample size of 9? (Use L = 3) b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift next sample (The first sample after the mean shift)? c) If the process mean stay at 10.5 cm, what is the average number of samples will you see an out-of-control point in the control chart?
Question 5 "At a certain college, it is estimated that about 37% of the students have cars on campus, and with this number, the parking lot is fully occupied. Would you suggest to increase the parking lot space if, in a random sample of 48 college students, 24 are found to have cars? Use 0.01 level of significance." A There is sufficent evidence to say that there is a need to increase the parking lot space. B It is safe to assume that the parking lot is enough No sufficient data to make a conclusion. "Certainly, the parking lot is enough."
A random sample of size 21 is selected from Normal distribution with mean 12 and unknown variance. If the sample standard deviation S is 4, then the (90.)th percentile of the sample mean is closest to: a. 12.50 O b. 12.20 O c. 10.80 O d. 13.20 O e. 11.10
I need the answer as soon as possible
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For a normally distributed random variable, the population mean is 4.32 and population standard deviation is 1.7. For a sample size of n= 21 selected randomly from the population Find the z score for sample mean x-bar= 1.6 Round to 2 decimals

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