Q1. Control charts for X and R are maintained on a process. After 20 preliminary subgroups eachof size 3 are evaluated, you have the following data:2020\x = 5,502 - R = 60i=1i=1(a) Set up the X, R control charts using these data. (Use 3-Sigma Control Limits)i) What is the point estimate of o?ii) What is the estimated standard deviation of R?iii) What is the center line of R control chartiv) What is UCL of R control chartv) What is LCL of R control chartvi) What is the center line of X control chartvii) What is UCL of X control chart

Answered: Image /qna-images/answer/1e1dcff0-8b91-4ad7-b529-e6078f8833c5.jpg

Answered: (a) Set up the X, R control charts…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Applying the Empirical Rule A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 10 months. Using the Empirical Rule, what is the approximate percentage of cars that remain in service between 23 and 43 months?Do not enter the percent symbol.
If an urn has five white balls and 10 red balls what is the probability that five randomly selected balls contain exactly 3 white balls?
Methyl t-butyl ether (MTBE) is an organic water contaminant that often results from gasoline spills. The level of MTBE (in parts per billion) was measured for a sample of 12 well sites located near the ship channel during a recent spilI. The data are: 150, 376, 38, 12, 11, 134, 12, 251, 63, 8, 13, 107. (a) Find the sample mean and the sample standard deviation. (b) Construct and interpret a 91.85% and 98.15% confidence interval for the population mean by using the following equations: B, = x – t - - and By = x +t N sample N sample (c) Which confidence interval is wider and why?
The distribution of hours of sleep per week night for college students is found to be normally distributed with a mean of 6.5 hours with a standard deviation of 1 hour. A)What proportion of the students have sleep hours more than 8 hours? ( show work) B)What proportion have sleep hours between 5 & 7 hours?(show work) C) What sleep hour does a student have to be in an upper 5%?(show work) D) What is the lower quartile of the sleep hours for college students? (show work)
Total blood volume (in ml) per body weight is important in medical research. For healthy adults, the red blood cell volume mean is about 34 ml/kg. Red blood cell that is too low or too high can indicate a medical problem. Suppose that Roger has 20 blood tests and the mean is 35.4 ml/kg. Suppose that red blood cell volume follows normal distribution with standard deviation 2.34 ml/kg. With 5% significance level, test that the mean blood cell volume is different from 28ml/kg. Which test to use? a.) None of the answer choices b.) T-test for the Mean c.) T-test for Proportion d.) Z-test for the Mean e.) Z-test for Proportion
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4] The time required for Speedy Lube to complete an oil change service on an automobile follows a normal distribution with mean of 17 minutes and standard deviation of 2.5 minutes. c] What percent of customers have service times between 10 minutes and 20 minutes? d] What interval {low?, high?) captures the middle 75% of customer service times?
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In a test of the effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/dL) have a mean of 3.2 and a standard deviation of 18.5. Complete parts (a) and (b) below. a) What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? b) Construct a 90% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? What is the confidence interval estimate of the population mean μ?
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12 years old. What type of test should you use? A) z-test for population mean B) t-test for population mean C) z-test for population proportion
The average house has 13 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 12 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 12, 14, 14, 14, 15, 14, 14, 14, 12, 13, 15, 14 What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 13 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 13. The data…
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