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When installing a bath faucet, it is important to properly fasten the threaded end of the faucet stem to the water-supply line. The threaded stem dimensions must meet product specifications, otherwise malfunction and leakage may occur. Authors of “Improving the Process Capability of a Boring Operation by the Application of Statistical Techniques” (Intl. J. Sci. Engr. Research, Vol. 3, Issue 5, May 2012) investigated the production process of a particular bath faucet manufactured in India. The article reported the threaded stem diameter (target value being 13 mm) of each faucet in 25 samples of size 4 as shown here: Calculate control limits based on using the sample
Calculate control limits based on using the sample ranges to estimate σ. Does the process appear to be in control?
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Probability and Statistics for Engineering and the Sciences
- Foot ulcers are common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article “An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 18 diabetic patients. The results are presented in the Table Q1. Table Ql: Measurements of temperatures, in °F of left foot Vs right foot for 18 diabetic patients Left Foot Right Foot Left Foot Right Foot 80 80 76 81 85 85 89 86 80 86 75 87 82 88 78 78 89 87 80 81 87 82 87 82 78 78 86 85 88 89 76 80 89 90 88 89 (d) Test the slope, ß1 = 1 at 5% level of significance. (e) Calculate the coefficient of correlation r and r2 and then interpret their valuesarrow_forwardproblem and minitab output is given below. please solve A, B, C, D with step by step and as much explanation as possiblearrow_forwardFoot ulcers are common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article “An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 18 diabetic patients. The results are presented in the Table QI. Table Q1: Measurements of temperatures, in °F of left foot Vs right foot for 18 diabetic patients Left Foot 80 foo Right Foot Right Foot 81 Left Foot (a) berature m80 85 76 85 89 86 9 marks) 75 80 87 82 88 foot temper 86sof 89 would thei 87 ht foo temp 80ures will 78s differ by 278reespredict by 81 (b) 87 82 87 82 I marks) 78 right foot to9erature for 76 tient whose 0 foot tmperature 78 86 85 (c) 88 89 90 88 89 (I marks) (d) Test the slope, ß1 = 1 at 5% level of significance. (e) Calculate the coefficient of correlation r and r² and then interpret their valuesarrow_forward
- Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article "An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 181 diabetic patients. The results are presented in the following table. Left Foot Right Foot 80 80 85 85 75 80 88 86 89 87 87 82 78 78 88 89 89 90 76 81 89 86 87 82 78 78 80 81 87 82 86 85 76 80 88 89 Construct a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Verify that a linear model is appropriate. b. Compute the least-squares line for predicting the right foot temperature from the left foot temperature. If the left foot temperatures of two patients differ by 2 degrees, by how much would you predict their right foot temperatures to differ? Predict the right foot temperature for a patient whose left…arrow_forwardThe article “Approximate Methods for Estimating Hysteretic Energy Demand on PlanAsymmetric Buildings” (M. Rathhore, A. Chowdhury, and S. Ghosh, Journal of Earthquake Engineering, 2011: 99–123) presents a method, based on a modal pushover analysis, of estimating the hysteretic energy demand placed on a structure by an earthquake. A sample of 18 measurements had a mean error of 457.8 kNm with a standard deviation of 317.7 kNm. An engineer claims that the method is unbiased, in other words, that the mean error is 0. Can you conclude that this claim is false?arrow_forwardTo protect against earthquake damage, steel beams are typically fitted and connected with plastic hinges. However, these plastic hinges are prone to deformations and are difficult to inspect and repair. An alternative method of connecting steel beams-one that uses high-strength steel bars with clamps-was investigated. Mathematical models for predicting the performance of these steel connecting bars assume the bars have a mean yield strength of 300 megapascals (MPa). To verify this assumption, the researchers conducted material property tests on the steel connecting bars. In a sample of three tests, the yield strengths were 357, 371, and 361 MPa. Do the data indicate that the true mean yield strength of the steel bars exceeds 300 MPa? Test using a = 0.01. Click the icon to view the Student t-distribution table. Determine the null and alternative hypotheses. Choose the correct answer below. Ο Α. H0: μ = 300 O B. Ho: H#300 Ha:H 300 O D. Ho: H= 300 Ha:H# 300 Compute the value of the test…arrow_forward
- To protect against earthquake damage, steel beams are typically fitted and connected with plastic hinges. However, these plastic hinges are prone to deformations and are difficult to inspect and repair. An alternative method of connecting steel beams-one that uses high-strength steel bars with clamps-was investigated. Mathematical models for predicting the performance of these steel connecting bars assume the bars have a mean yield strength of 300 megapascals (MPa). To verify this assumption, the researchers conducted material property tests on the steel connecting bars. In a sample of three tests, the yield strengths were 357, 371, and 361 MPa. Do the data indicate that the true mean yield strength of the steel bars exceeds 300 MPa? Test using a = 0.01. Click the icon to view the Student t-distribution table. O B. Ho: µ#300 Ha:H= 300 O A. Ho:H= 300 Ha: H 300 O D. Ho: H= 300 Ha:H#300 Compute the value of the test statistics. t= 15.13 (Round to two decimal places as needed.) Determine…arrow_forwardMinimization of false trends in measurement caused by extraneous variables can be minimized by: A. Randomizing the order of application of the independent variable. B. Repeated measurement of the dependent variables. C. Signal conditioning and recalibration of the test instrument. D. Neglecting controlled parametrization of fundamental features of the test instrument. E. Getting a new replacement of the test instrument.arrow_forwardThe authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person's ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter. Subject Mini-WrightMeter WrightMeter Subject Mini-WrightMeter WrightMeter 1 512 494 10 445 433 2 430 395 11 432 417 3 520 516 12 626 656 4 428 434 13 260 267 5 500 476 14 477 478 6 600 557 15 259 178 7 364 413 16 350 423 8 380 442 17 451 427 9 658 650 (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce different…arrow_forward
- The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person's ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter. Subject Mini-WrightMeter WrightMeter Subject Mini-WrightMeter WrightMeter 1 512 494 10 445 433 2 430 395 11 432 417 3 520 516 12 626 656 4 428 434 13 260 267 5 500 476 14 477 478 6 600 557 15 259 178 7 364 413 16 350 423 8 380 442 17 451 427 9 658 650 (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce…arrow_forwardPlease help me with this problem and i needed only part d and e only please.... Very urgentarrow_forwardConcrete admixtures are natural or manufactured chemicals added during concrete mixing to enhance specific properties of the fresh or hardened concrete, such as workability, durability, or early and final strength. Two admixtures are being tested to determine how they affect the strength of the concrete. Both admixtures are in use but admixture 2 is cheaper and it should be adopted provided that it does not affect the compressive strength of the concrete. A test was conducted in the laboratory and the results are shown in the table. Assume that the strengths are normally distributed with the same standard deviation. Use α = 0.05 Observation Number Admixture 1 Admixture 2 1 23.2 23.5 2 25.1 20.1 3 24.5 22.2 4 23.7 20.7 5 23.3 21.9 6 24.4 25.0 7 22.5 22.7 8 24.6 20.3 9 25.0 22.8 10 24.3 22.9 11 24.1 21.1 12 24.1 22.3 13 25.0 21.6 14 24.6 20.8 15 22.1 22.0 1. What is the standard deviation for each sample? 2. Provide appropriate null and alternative…arrow_forward
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