An artide in the JEEE Transactions on Components, Hybrids, and Manufacturing Technology (Vol. 15, No. 2, 1992, pp. 146-153) describes an experiment in which the contact resistance of a brake-only relay was studied for three different materials (all were silver-based alloys). The data are as follows: Alloy 1 95 97 99 2 104 102 102 105 99 102 111 103 100 103 3 119 130|132|136|141 172 145 150|144 135 Contact Resistance 99 99 Calculate the test statistic fo (2 decimal places).
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- An engineer has set up a DOE (design-of-experiment) to test the wear of laminated materials and how it depends on the glue and filler used. At each test condition, two experiments were run. The engineer collected the data below. Calculate the main and interaction effects. Glue Filler Result 1 Result 2 0.3 0.5 65 70 0.6 0.5 0.3 0.75 0.6 0.75 101 89 97 61 72 105 Calculate the test statistics. SSclue number (rtol=0.01, atol=0.0001) SSpiller number (rtol=0.01, atol=0.0001) SSinteraction number (rtol=0.01, atol=0.0001) Felue number (rtol=0.01, atol=0.0001) Friller number (rtol=0.01, atol=0.0001) Finteraction number (rtol=0.01, atol=0.0001) Calculate the p-value. Pclue number (rtol=0.01, atol=0.0001) PFiller number (rtol=0.01, atol=0.0001) Pinteraction number (rtol=0.01, atol=0.0001) Which are statistically significant at a 10% level? State your decisions. O (a) Cannot Reject HO: Glue O (b) Reject HO: Interaction O (c) Cannot Reject HO: Interaction O (d) Reject H0: Filler O (e) Cannot Reject…In an article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing current draw in a magnetic core by electronic means. They measured the current in a magnetic winding with and without the electronics in a paired experiment. Data for the case without electronics are provided in the Table. Current Without Electronics (mA) Supply Voltage 0.66 7.32 1.32 12.22 1.98 16.34 2.64 23.66 3.3 28.06 3.96 33.39 4.62 34.12 3.28 39.21 5.94 44.21 6.6 47.48 (a) Fit a regression line to predict current without electronics to supply voltage. Is there a significant regression at a = 0.05? What is the P-value? (b) Estimate the correlation coefficient. (c) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is the P-value?In an article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing current draw in a magnetic core by electronic means. They measured the current in a magnetic winding with and without the electronics in a paired experiment. Data for the case without electronics are provided in the Table. Current Without Electronics (mA) Supply Voltage 0.66 7.32 1.32 12.22 1.98 16.34 2.64 23.66 3.3 28.06 3.96 33.39 4.62 34.12 3.28 39.21 5.94 44.21 6.6 47.48 (a) Estimate the correlation coefficient. (b) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is the P-value? (c) Compute a 95% confidence interval for the correlation coefficient.
- An article in the IEEE Transactions on Components, Hybrids, and Manufacturing Technology (Vol. 15, No. 2, 1992, pp. 146-153) describes an experiment in which the contact resistance of a brake-only relay was studied for three different materials (all were silver-based alloys). The data are as follows: Alloy 1 95 97 99 98 99 99 99 94 95 98 2 104 102 102 105 99 102 111 103 100 103 119 130 132 136 141 172 145 150 144 135 Contact Resistance Calculate the test statistic fo (2 decimal places).An article in the IEEE Transactions on Components, Hybrids, and Manufacturing Technology (1992, Vol. 15) describes an experiment for investigating a method for aligning optical chips onto circuit boards. The method involves placing solder bumps onto the bottom of the chip. The experiment used three solder bump sizes and three alignment methods. The response variable is alignment accuracy (in micrometers). The data are as follows: Solder Bump Size Alignment Method (diameter in um) 2 75 4.61 1.58 1.00 4.50 1.42 0.96 130 2.37 1.70 0.78 2.47 1.75 0.96 260 4.90 2.72 2.41 4.50 2.61 2.50 (a) Is there any indication that either solder bump size or alignment method affects the alignment accuracy? Is there any evidence of interaction between these factors? Use a = 0.05. The solder bump size the alignment accuracy, the alignment method the alignment accuracy, the interaction between solder size and alignment method significant in affecting alignment accuracy. (b) What recommendations would you…1. An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (•C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. 1.1. Test the hypotheses H0 : µ =22.5 versus H1 :µ + 22.5, using a=0.05. Find the P-value 1.2. Explain how the question could be answered by constructing a two-sided confidence interval on the mean interior temperature. Find the confidence interval.
- An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. ... Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo. Input answer up to 2 decimal places. Test Statisticf =1.68 Blank 1 1.68Solve An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05. 1.)This problem is a test on what population parameter? a.Variance/ Standard Deviation b.Mean c.Population Proportion d.None of the above 2.)What is the null and alternative 3 points hypothesis? a.Ho / (theta = 22.5) , Ha: (0 # 22.5) b.Ho / (theta > 22.5) , Ha: (0 # 22.5) c.Ho / (theta < 22.5) , Ha: (theta >= 22.5) d.None of the above 3.)What are the Significance level 3 points and type of test? alpha = 0.05 two-tailed alpha = 0.95 two-tailed alpha = 0.95 one-tailed None of the above 4.)What standardized test statistic will…An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. ... Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo- Input answer up to 2 decimal places. TestStatisticf. Blank 1
- The Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replace the cutting tool of a drilling machine at optimum times. To test the system, data were collected over a broad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although a total of 168 different machining conditions were possible, only eight were employed in this study. These are described below: Experiment Workpiece Drill Size (in.) 25 25 Drill Speed (грт) 1250 1800 Feed Rate Material (ipr) .011 .005 1 Cast Iron Cast Iron Steel Steel 25 25 3750 2500 .003 .003 .008 4 Steel 25 .125 .125 2500 Steel Steel 4000 4000 3000 .0065 .009 .010 Steel .125 a. Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system. What is the probability that the experiment conducted in the study will detect the system flaw? b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of…In a study, the effects of the mane of a male lion as a signal of quality to mates and rivals was explored. Four life-sized dummies of male lions provided a tool for testing female response to the unfamiliar lions whose manes varied by length (long or short) and color (blonde or dark). The female lions were observed to see whether they approached each of the four life-sized dummies. Complete parts (a) through (e) below. a. Identify the experimental units. Choose the correct answer below. The female lions The male dummies The mane colors The mane lengths Part 2 b. Identify the response variable. Choose the correct answer below. A. Whether or not (yes or no) the mane length affected how the female lions reacted to a male dummy. B. Whether or not (yes or no) the female lions approached the same dummies. C. Whether or not (yes or no) the female lions approached a male dummy. D. Whether or not…In the vehicle speed test, the results were given in the table below: Find: 1. skew modulus 2. kurtosis coefficient Speed range (km/hr 34-35.9 36-37.9 38-39.9 40-41.9 42-43.9 Frequency (fi) 4 6 4 10 7 Speed range (km/hr 44-45.9 46-47.9 48-49.9 50-51.9 52-53.9 Frequency (fi) 22 8 18 17 16 Speed range (km/hr 54-55.9 56-57.9 58-59.9 60-61.9 62-63.9 Frequency (fi) 13 8 6 4 3