QualityAssociatesQuality Associates, Inc., a consulting firm, advises its clientsabout sampling and statistical procedures that can be used tocontrol their manufacturing processes. In one particularapplication, a client gave Quality Associates a sample of 800observations taken during a time in which that client's processwas operating satisfactorily. The sample standard deviation forthese data was .21; hence, with so much data, the populationstandard deviation was assumed to be .21. Quality Associatesthen suggested that random samples of size 30 be takenperiodically to monitor the process on an ongoing basis. Byanalyzing the new samples, the client could quickly learnwhether the process was operating satisfactorily. When theprocess was not operating satisfactorily, corrective action couldbe taken to eliminate the problem. The design specificationindicated the mean for the process should be 12. The hypothesistest suggested by Quality Associates follows.Ho: μ = 12Ha: μ # 12Corrective action will be take any time H0 is rejected.The following samples were collected at hourly intervalsduring the first day of operation of the new statistical processcontrol procedure. Sample 1 Sample 2 Sample 3 Sample 411.55 11.62 11.9112.0211.62 11.69 11.3612.0211.52 11.59 11.7512.0511.75 11.82 11.9512.1811.9011.97 12.1412.1111.64 11.71 11.7212.0711.80 11.87 11.61 12.0512.03 12.1011.8511.6411.94 12.01 12.16 12.3911.9212.13 12.20 12.1211.99 11.91 11.6512.1112.0912.1611.61 11.9011.93 12.00 12.21 12.2212.21 12.28 11.5611.8812.3211.93 12.00 12.0112.39 11.95 12.0312.3511.85 11.92 12.06 12.09011.76 11.83 11.76 11.7712.16 12.23 11.82 12.2011.77 11.84 12.12 11.7912.00 12.07 11.60 12.3012.04 12.11 11.95 12.2711.98 12.05 11.96 12.2912.30 12.37 12.22 12.4712.18 12.25 11.75 12.0311.97 12.04 11.96 12.1712.17 12.24 11.95 11.9411.85 11.92 11.89 11.9712.30 12.37 11.99 12.2312.15 12.22 11.93 12.25Managerial Report:1) Compute the standard deviation for each of the four samples.Does the assumption of .21 for the population standarddeviation appear reasonable?2) Compute limits for the sample mean around u-12 such that,as long as a new sample mean is within those limits, the processwill be considered to be operating satisfactorily. If sample meanexceeds the upper limit or if sample mean is below the lowerlimit, corrective action will be taken. These limits are referredto as upper and lower control limits for quality controlpurposes.3) Discuss the implications of changing the level of significanceto a larger value. What mistakes or error could increase if thelevel of significance in increased?

Given the data asSample 1Sample 2Sample 3Sample…

Answered: Quality Associates, Inc., a consulting…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. In one particular application, a client gave Quality Associates a sample of 800 observations taken during a time in which that client’s process was operating satisfactorily. The sample standard deviation for these data was 0.21; hence, with so much data, the population standard deviation was assumed to be 0.21. Quality Associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could be quickly learn whether the process was operating satisfactorily. When the process was not operating satisfactorily, corrective action could be taken to eliminate the problem. The design specification indicated the mean for the process should be 12. the hypothesis test suggested by Quality Associates follows.H0: μ = 12H1: μ = 12…
Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 65 students in the highest quartile of the distribution, the mean score was x = 175.10. Assume a population standard deviation of ? = 7.55. These students were all classified as high on their need for closure. Assume that the 65 students represent a random sample of all students who are classified as high on their need for closure. How large a sample is needed if we wish to be 99% confident that the sample mean score is within 1.5 points of the population mean score for students who are high on the need for closure? (Round your answer up to the nearest whole number.)students
Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 75 students in the highest quartile of the distribution, the mean score was x = 176.90. Assume a population standard deviation of ? = 7.71. These students were all classified as high on their need for closure. Assume that the 75 students represent a random sample of all students who are classified as high on their need for closure. Find a 95% confidence interval for the population mean score ? on the "need for closure scale" for all students with a high need for closure. (Round your answers to two decimal places.)
A clinical psychologist posits that drug use leads to conduct problems. To test this, he examines whether his adolescent inpatient drug users were elevated in terms of conduct disorder (CD). A sample of 100 was evaluated using a standard measure of CD; they had a mean score of 53. The population mean (µ) for the CD scale is 50 with a standard deviation (σ) of 10. Show calculations for the appropriate test.a. Report and interpret an effect size. a. Report and interpret an effect size.
The average income of a large sample of households is $63,000 and the s.d. is $7,000. Assume that the data is approximately bell-shaped. What percent of these households have incomes between $42,000 and $77,000? Don’t forget to properly justify your answer using the empirical rule.
Consider the following research questions/study scenarios. For each study, discuss the most appropriate methods for describing the data (graphically and numerically). What statistical method would be most appropriate for addressing the research questions? Be sure to provide justification of the statistical method. When a statistical test is needed, provide appropriate null and research hypotheses. A study investigating the effects of second-hand smoke in working environments asked the following question: “How often do you experience second-hand smoke in a work environment/function? Never, Occasionally, Fairly Often, Very Often, Almost Always.” The question was asked of managers and employees to determine whether there was an association between position and the amount of second-hand smoke exposure. The responses to the questions were grouped into Little/Non and Often, where Little/None was defined as responses of Never or Occasionally and Often was defined as responses of Fairly…
An intercity bus company is attempting to improve the reliability of its service. One manager claims that the variability (i.e., standard deviation) in arrivals from the posted schedule at the central bus depot is approximately 3 minutes. Another manager disagrees, suspecting that the spread in times of arrival is different. Using variance, what is the population parameter under consideration? What hypotheses should the managers test in this situation?
A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 12 students is 80.8 with a standard deviation of 5.7. In Class 2, the mean exam score for 14 students is 84.5 with a standard deviation of 4.9. Test the professor's claim at the 0.01 level of significance. Assume that both populations are approximately normal and that the population variances are equal. Let Class 1 be Population 1 and let Class 2 be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
The consultancy Quality Associates (QA) advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. One particular client gave QA a sample of 1,000 observations taken during a time when the client's process was operating satisfactorily. The sample standard deviation for these data was 0.21; hence, with so much data, the population standard deviation was assumed to be 0.21. QA then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily, and if necessary take corrective action. The design specification indicated that the mean for the process should be 12.0. The hypothesis test suggested by QA follows. H0: ? = 12 H1: ? ≠ 12 Corrective action will be taken any time H0 is rejected. Prepare a managerial report to establish process control limits for a process with a…

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