7. A paper in Quality Engineering [2013, Vol. 25(1)] presented data on cycles to failure ofsolder joints at different temperatures for different types of printed circuit boards (PCB).Failure data for two temperatures (20 and 60°C) for a coppernickel-gold PCB follow.20°C 218, 265, 279, 282, 336, 469, 496, 507, 685, 68560°C 185, 242, 254, 280, 305, 353, 381, 504, 556, 697a. Test the null hypothesis at x = 0.05 that the cycles to failure are the same at bothtemperatures. Is the alternative one or two sided?b. Find a 95% confidence interval for the difference in the mean cycles to failure for thetwo temperatures.

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Answered: 7. A paper in Quality Engineering…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
3) Fresh tomatoes were stored at 15°C. Lycopene (orange-red pigment) contents were determined for a period of 10 weeks at 15°C. The results are presented in Table 3. Lycopene degradation during storage of tomatoes is known to give the straight line in a semi-log graphic paper. Table 3– Lycopene contents in fresh tomatoes stored at 15°C Storage time (week) Lycopene content (mg/kg) 33 2 23 6 5.3 10 2.1 Find out the lycopene concentration in tomatoes after 4 months of storage at 15°C. Note: Give units wherever it is applicable!!!! Σxy- (Σx Σy / ) ΣyΣx?- Σx Σxy Ex² - [ (Ex)² / n) ] n (E x² - [ (Ex)² / n) ] )
7. A paper in Quality Engineering [2013, Vol. 25(1)] presented data on cycles to failure of solder joints at different temperatures for different types of printed circuit boards (PCB). Failure data for two temperatures (20 and 60°C) for a coppernickel-gold PCB follow. 20°C 218, 265, 279, 282, 336, 469, 496, 507, 685, 685 60 C 185, 242, 254, 280, 305, 353, 381, 504, 556, 697 a. Test the null hypothesis at a = 0.05 that the cycles to failure are the same at both temperatures. Is the alternative one or two sided? b. Find a 95% confidence interval for the difference in the mean cycles to failure for the two temperatures.
3) Fresh tomatoes were stored at 15°C. Lycopene (orange-red pigment) contents were determined for a period of 10 weeks at 15°C. The results are presented in Table 3. Lycopene degradation during storage of tomatoes is known to give the straight line in a semi-log graphic paper. Table 3- Lycopene contents in fresh tomatoes stored at 15°C Storage time (week) Lycopene content (mg/kg) 33 2 23 6 5.3 10 2.1 a) Find out the equation describing the degradation of lycopene in tomatoes at 15°C, using the "linear regression analysis. Note: Give units wherever it is applicable!!!! Σxy- (Σx Σy / n ) ΣyΣx%- Σx Σxy b = Ex² - [ (Ex)² / n) ] η (Σχ'- [ (Σx)>/ n) ] )
3. You are curious to understand if there is a relationship between the average grade (in %) that students received in Assignment 1, 2, and 3 of ECOR 2050 (assignments that covered midterm material) and their grade (in %) in the Midterm of the course. You are limited to collect 7 sets of data (midterm vs average assignments). For that, you can check the google sheets to find grades of assignment 1, 2, and 3 and midterm for 7 students. You should be careful that your data set is not biased. a) Collect the information and record them in the table below (please use a typed table/numbers as we need to copy/paste your numbers into Excel for checking your solution and marking). Mention how you ensured that your data set is random and unbiased. Student 2 3 4 6. 7 Grade (%) Average of Assignment 1, 2, and 3 (assignments before midterm) Midterm b) Using the collected information, conduct a simple linear regression analysis and find the regression line. Also, estimate the coefficient of…
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete Ho: Md = 0 Ha: Ha 0 = 0 Ho: Md < 0 Ha: Md P-value = X-ray 4.75 7.00 9.25 12.00 5 17.25 6 29.50 7 5.50 8 6.00 9 8.00 10 8.50 11 9.25 12 11.00 13 12.00 14 14.00 15 17.00 16 18.00 = 0 1 2 3 4 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = 0.534 0.000 X X State the conclusion in the problem context. We fail to reiect H.…
Ims.tu.edu.sa قائمة القراءة. Remaining Time: 34 minutes, 24 seconds. v Question Completion Status: QUESTION 1 "Suppose X has an exponential distribution with ß=1/2 , then P (X2 2) is " 0.3988 O 0.0183 0.4786 O 0.2916 QUESTION 2 "Suppose X has an exponential distribution with ß=1/4 , then P (Xs1.) is " O 0.9817 O 0.3246 O 0.4105 O 0.5116 QUESTION 3
Environmental conditions can affect the growth of coral. To study this, a researcher examined a species of coral that is found in the Caribbean Sea and the Gulf of Mexico. At 12 localities, he determined the average annual calcification rate of coral over a period of several years and the average annual maximum sea surface temperature during the same period. Calcification rate affects the growth of coral, with higher rates corresponding to greater growth. The table contains data for these 12 localities. Maximum sea surface temperature (°C) and calcification rate (g cm² yr¯¹) Maximum Sea Surface Temperature 29.4 29.4 29.4 29.6 29.1 28.7 Calcification Rate 1.48 1.53 1.52 1.48 1.31 1.25 Maximum Sea Surface Temperature 29.7 29.5 29.4 29.0 29.0 29.0 Calcification Rate 1.63 1.53 1.46 1.24 1.29 1.12 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! The residuals for average annual maximum sea surface…
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The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)

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