1. A quality manager is analysing the scrap metal that is created in the manufacturing of bolts fromfactories. He took the factors that contributes to the amount of scrap metal recorded into account.The following is a partial output of 60 of a sample of factories.X₂279646237200159499389YSource ofVariationRegressionErrorX₁Total110809080602002501.51.4.111.20.90.83X₁ = SIZE - the size of the bolt in mm produced on a production lineX₂ = WEIGHT - the weight of the bolt in gramsX3 = AGE- of the factory in yearsY = SCRAP - scrap metal in kilogramsThe full model was run and the following ANOVA output obtained.DF1012568ab591.2. Interpret each of the regression coefficients.1111X3Sum ofSquares102.921.9124.8SAS produced the following regression function.Ŷ == 80 + 5.5X₁ - 1.4X₂ +0.9X3.MeanSquare34.32.557Answer the following questions.1.1. Is there a statistical relationship between scrap and size, weight and age? The significance levelis 0.05.

We state the hypothesis for the above situation. H0: There is no statistical relationship between…

Answered: 1. A quality manager is analysing the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5.39 ● The following data on degree of exposure to 242Cmalpha particles (x) and the percentage of exposed cellswithout aberrations (y) appeared in the paper “Chromosome Aberrations Induced in Human Lymphocytes by D-TNeutrons” (Radiation Research [1984]: 561–573):
The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?
An automotive engineer is investigating two different types of metering devices for an electronic fuel injection system to determine whether they differ in their fuel mileage performance. The system is installed on 10 different cars, and a test is run with each metering device on each car. The data is provided below: Metering Device Car 1 2 1 17.6 16.8 2 19.4 20.0 3 18.2 17.6 4 17.1 16.4 5 15.3 16.0 6 15.9 15.9 7 16.3 16.5 8 18.0 18.4 9 17.3 16.4 10 19.1 20.1 Is there a significant difference between the means of the two metering devices? Use . Interpret the result in the context of the problem. An article in the journal Hazardous Waste and Hazardous Materials (Vol. 6, 1989) reported the results of an analysis of the weight of calcium in standard cement and cement doped with lead. Reduced levels of calcium would indicate that the hydration mechanism in the cement is blocked…
Consider a cohort study to compare the mortality rate of myocardial infarction (MI) in men with sedentary work (exposed group) to men with physically active work (unexposed). If in the exposed, there were 36,000 person (man) years of observation and 126 deaths whereas the unexposed had 24,000 man-years of observation and 44 deaths. Compute the following a) Mortality rate in each cohort? b) What is the relative risk of dying, comparing these 2 groups? c) What is the attributable risk of sedentary work? d) What is the attributable benefit of physical activity? e) If we assume that MI is associated with the mortality in this cohort (causality), what proportion of the disease in the higher group is potentially preventable?
The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below. Patient A B C D E F G H I J Age(X) in Years 20 25 50 30 45 60 10 15 35 70 BP(Y) in (mmHg) 80 85 125 90 100 135 80 70 100 140 NB: Approximate to 2 decimal placesUse the table to answer the questions that follow;i) Calculate the product moment correlation coefficient for the data and interpret your result.ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer. iii) Give a reason to support fitting…
The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188
Consider the following data on 20 chemical reactions, with Y = chromatographic retention time (seconds) and X = molecular weight (gm/mole). Retention Time and Molecular Weight (n = 20) Name RetentionTime Molecular Weight alpha-pinene 234.50 136.24 cyclopentene 95.27 68.12 p-diethyl benzene 284.00 134.22 decane 250.60 142.29 toluene 174.00 92.14 benzene 135.70 78.11 2-methyl pentane 97.24 86.18 2,3 dimethylbutane 100.70 86.18 1,7-octadiene 172.20 110.20 1,2,4-trimethyl benzene 262.70 120.19 2,3,4-trimethyl pentane 160.98 114.23 ethylcyclohexane 195.07 112.22 limonene 271.50 136.24 methyl cyclohexane 153.57 98.19 m-diethyl benzene 281.50 134.22 2,3-dimethyl pentane 131.83 100.20 2,2-dimethyl butane 89.34 86.18 pentane 78.00 72.15 isooctane 136.90 114.23 hexane 106.00 86.18…
In a study of the relationship of the shape of a tablet to its dissolution time, 6 disk-shaped ibuprofen tablets and 8 oval-shaped ibuprofen tablets were dissolved in water. The dissolve times, in seconds, were as follows: Disk: 269.0 249.3 255.2 252.7 247.0 261.6 Oval: 268.8 260.0 273.5 253.9 278.5 289.4 261.6 280.2 Can you conclude that the mean dissolve times differ between the two shapes?
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The table shows the lifetimes in hours of samples from three different types of plant species exposed to a pesticide. Determine whether there is a difference between the three types a significance level 0.01 Sample 1 457 461 459 Sample 2 454 456 458 455 452 Sample 3 460 458 456 458 What is the F-value? a. 4.67b.4.00c. 4.50d. 3.67
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