Concept explainers
Nickel titanium (NiTi) shape memory alloy (SMA) has been widely used in medical devices. This is attributable largely to the alloy’s shape memory effect (material returns to its original shape after heat deformation), superelasticity, and biocompatibility. An alloy element is usually coated on the surface of NiTi SMAs to prevent toxic Ni release.
The article “Parametrical Optimization of Laser Surface Alloyed NiTi Shape Memory Alloy with Co and Nb by the Taguchi Method” (J. of Engr. Manuf., 2012: 969–979) described an investigation to see whether the percent by weight of nickel in the alloyed layer is affected by carbon monoxide powder paste thickness (C, at three levels), scanning speed (B, at three levels), and laser power (A, at three levels). One observation was made at each factor-level combination [Note: Thickness column headings were incorrect in the cited article]:
- a. Assuming the absence of three factor interactions (as did the investigators), SSE = SSABC can be used to obtain an estimate of σ2. Construct an ANOVA table based on this data.
- b. Use the appropriate F ratios to show that none of the two-factor interactions is significant at α = .05.
- c. Which main effects are significant at α =.05?
- d. Use Tukey’s procedure with a simultaneous confidence level of 95% to identify significant differences between levels of paste thickness.
Trending nowThis is a popular solution!
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
- The shape of the mean-variance frontier that results from the combination of a riskless and arisky asset is…..:a. Is U-shaped, tilted 90 degrees clockwise.b. Is a straight line passing from the mean-variance points of the two assets.c. Is a hyperbola.d. Consists of two straight lines, each connecting one of the two assets to a risk-freeportfolioarrow_forwardWhat is the chi square-crit for the alpha level of 0.5 when you have 4 column categories and 4 row categories (4x4 grid) in a chi square analysis?arrow_forwardpropose a model that fulfill all five assumptions of the disturbance terms in classical linear regressionarrow_forward
- At a hydrocarbon processing factory, process control involves periodic analysis of samples for a certain process quality parameter. The analytic procedure currently used is costly and time consuming. A faster and more economical alternative procedure has been proposed. However, the numbers for the quality parameter given by the alternative procedure are somewhat different from those given by the current procedure, not because of any inherent errors but because of changes in the nature of the chemical analysis.Management believes that if the numbers from the new procedure can be used to forecast reliably the corresponding numbers from the current procedure, switching to the new procedure would be reasonable and cost effective. The following data were obtained for the quality parameter by analyzing samples using both procedures: Current (Y ) Proposed (X ) Current (Y ) Proposed (X ) 3.0 3.1 3.0 3.6 3.8 2.7 2.7 3.1 3.9 3.4 4.0 3.6 3.6 3.6 3.1 2.7 3.3 3.2 2.1 3.0 2.6 3.1 2.9…arrow_forwardThe owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portion of the hours worked. If the sum of squares Y is 1,513.32 and the sum of squares error is 176.22. What proportion of variation in labor hours is explained by the number of cubic feet moved? Hint: Provide answer accurate to 4 decimal places.arrow_forwardThe owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.24 and the slope is 0.03. What is the predicted number of labor hours for moving 484 cubic feet? Hint: Provide your answer accurate to 2 decimal places.arrow_forward
- In Austria ,The amount of money spent on the restoration of a sanctuary and the distinct kangaroo populations present appeared to have negative correlations For investigation of this onserved assocaition ,what can a resecher do to begin his research 1Conduct an experiment 2Calculate the squares of coreealtion coefficient 3Calculate the least squares regression line 4 calculate the corelation coefficient Explain answer in 1 or 2 linesarrow_forwardI have already answered #1 a-c Based on #1, what is the impact propensity and long run multiplier?arrow_forwardIf the data is highly skewed, can we still rely on the kurtosis coefficient? Why or why not?arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning