2. Ceramic items are "baked" in a gas-fired tubular-shaped oven is lots of 100 units. The items are linedup in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and thetemperature increased manually according to time-temperature scale. After cooling, a sample of fiveunits is drawn from a lot and strength-tested by breaking them in a special testing device. To beeffective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot fromwhich it came is scrapped. About 10% of the lots have been scrapped in recent times.c. Calculate the pertinent Process Capability Indexes for this process and interpret their meaning relativeto your answer to part (b)d. Assuming R chart shows good control, where should the process be centered to ensure that nomore than 0.1% of the items do not meet specification (assume a normal distribution)? Calculate thesame Process Capability Indexes at this target mean setting.

Given: ΣX = 112.00psi and ΣR = 23.26 psi

Answered: 2. Ceramic items are "baked" in a…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin

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The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 41 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 8 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Design an R- and an x-chart for this process. The UCLR equals 9.62 grams and the LCLR equals 0.38 grams. (Enter your response rounded to two decimal places.) More Info Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample Factor for UCL and LCL for x-chart (A2) Factor for LCL for Factor for UCL for (n) R-Chart (D3) R-Chart (D4) 2 1.880 3.267 3 1.023 2.575 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004…
The number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty- average year-olds have a different number of cavities? The data show the results of a survey of 16 twenty-year-olds who were asked how many cavities they have had. Assume that the distrbution of the population is normal. 6, 12, 8, 6, 10, 6, 8, 11, 8, 8, 6, 7, 6, 10, 7, 11 What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 2 Select an answer V 7v||Select an answerY c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that lor O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 8 at a = 0.10, so there is…
High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 190 mg/dL is considered high.A physician is concerned that a patient may be at risk for high cholesterol. In order to accurately measure the patient's average cholesterol level, the physician instructs the patient to come into the physician's office once a week for 12 weeks for a blood lipid screening. The results of the 12 measurements are listed below. 189 186 199 197 190 186 185 200 200 200 185 190 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 190 mg/dL, using a significance level of 10%. Assume that the distribution of all cholesterol measurements from this patient is approximately normally distributed. Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.Determine the test…

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