PROBLEM 5.39The following data on degree of exposure to 242Cm alpha particles (x) and the percentage ofexposed cells without aberrations (y) appeared in the paper "Chromosome AberrationsInduced in Human Lymphocytes by D-T Neutrons" (Radiation Research [1984]: 561-573):0.1060.1930.5110.527y989587851.62722.36551.081.73y75642.723.123.884.1844413740Summary quantities areEx= 22.027E* = 62.600235 xy = 1114.5 Ey = 57,939Ey = 793n= 12a. Obtain the equation of the least-squares line.b. Construct a residual plot, and comment on any interesting features.

Given the data on degree of exposure to 242Cm alpha particles (x) and the percentage of exposed…

Answered: PROBLEM 5.39 The following data on…

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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Question 2: A study of the properties of metal plate-connected trusses used for roof support yielded 35 observations on axial-stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 inches. Use the given output from an analysis of variance with a = 0.01 to answer (a) and(b). Let 'pl.4' denote a plate length of 4 inches, similarly for the other lengths. Df Sum Sq Mean Sq F value Pr (>F) 4 43993 10998 10.48 1.96e-05 *** 1049 0 ***' 0.001 '**' 0.01 0.05 '.' 0.1 ' group Residuals 30 31475 Signif. codes: (a) (b) Tukey multiple comparisons of means 99% family-wise confidence level Fit: aov (formula p adj $group diff 1wr upr pl.12-pl.10 29.814286 -31.98149 91.610065 0.4363237 pl.4-pl.10 -74.142857 -135.93864 -12.347078 0.0015294 pl. 6-pl.10 -39.300000 -101.09578 22.495779 0.1827394 pl. 8-pl.10 -32.228571 -94.02435 29.567208 0.3591363 pl.4-pl.12 -103.957143 -165.75292 -42.161364 0.0000130 pl.6-pl.12 pl. 8-pl.12 pl.6-p1.4 pl.8-pl.4 1 pl. 8-pl.6 -69.114286 -130.91006 -7.318507 0.0033328…
3. An individual who has automobile insurance from a certain company is ran- domly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is 1 p(y) | .60 .25 .10 .05 What is the variance of Y? Α. 1.1 В. .60 C. .79 D. 1 E. None of the above 4. Based on the pmf in problem 3, what is the probability that an individual was cited between 1 and 3 times (inclusive)? A. .25 В. .05 С. .30 D. .40 E. None of the above
10.1.4 A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with o = 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742 A process change that involves switching the type of catalyst used in the process is made. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780 Assume that process variability is unaffected by the catalyst change. If the difference in mean batch viscosity is 10 or less, the manufacturer would like to detect it with a high probability. a. Formulate and test an appropriate hypothesis using α = 0.10. What are your conclusions? Find the P-value. b. Find a 90% confidence interval on the difference in mean batch viscosity resulting from the process change. c. Compare…
ol 106. Use the two scenarios presented in Figure 7.12 to answer the following question about the two sources of variability in ANOVA. 3.5 3.0 2.5 2.0 1.5 (i) HA: P₁ P2 ‡ P3 (iii) HA not all proportions are equal to this po 1.0 Figure 7.12: Within vs Between Variability in ANOVA onnisth Scenario A L (d) Recall that, O 2 H 3 2.05 2.10 2.15 2.20 2.25 2.30 2.35 (ii) Ho: M₁ M₂ = μ3 sans are (iv) HA: not all means are equal 720 qeaoluet alt sot mol 4 mobor 2924 (6) 2 3 4 gob za aim onbala (1) di batt (9) w-qodt fonqtotal bac o2 (6) (Troy ote12. (0) (a) Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. Scenario B 1 = stogol 05 O 1 oftaltete fest out of sulav gris I (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? Agulow (c) Which scenario exhibits more variability between each factor level? Is this measured by…
2.3. Let X₁, X₂, ..., Xn denote a random sample with size n from an exponential density with mean 0₁. Find the MLE for 0₁. -A Refer back to Question 2.3. Let X₁, X2, ..., Xn denote a random sample with size n from the exponential density with mean 0₁, and Y₁, Y₂, ..., Yn denote a random sample with size m from the exponential density with mean 1. Find the likelihood ratio test for testing Ho: 0₁ = 1 against Ha: 0₁ # 1.
Bb.29.
9.1.2
9.12 For the chemical reaction data of Table 7.4 with dependent variable y2, compute the diagnostic measures ŷi, &i, hii, ri, ti, and Di. Display these in a table similar to Table 9.1. Are there outliers or potentially influential obser- vations? Calculate PRESS and compare to SSE.
3.1.14 WP An article in Knee Surgery, Sports Traumatol- ogy, Arthroscopy ["Arthroscopic Meniscal Repair with an Absorbable Screw: Results and Surgical Technique" (2005, Vol. 13, pp. 273-279)] cited a success fac of more than 90% for meniscal tears with a rim width under 3 mm, but only a 67% success rate for tears of 3-6 mm. If you are unlucky enough to suffer a meniscal tear of under 3 mm on your left knee and one of width 3-6 mm on your right knee, what is the probability mass function of the number of successful surgerics? Assume that the surgeries are independent.
10.21. In a recent study involving a random sample of 300 automobile accidents, the data were classified according to the size of the automobile. Small Medium Large At least one fatality 42 35 20 No fatalities 78 65 60 With these data, does the frequency of accidents depend on the size of the automobile? Use α = 0.05.
4.54 Figure 4.16 shows a randomization distribution for testing Ho 1=2 versus Ha statistic used for each sample is D = x, – x2. In each case, use the distribution to decide which value is closer to the p-value for the observed difference in : H1 # µz. The sample means. (a) The p-value for D = x - I = -2.9 is closest to: %3D 0.01 or 0.25? (b) The p-value for D = x, – x, = 1.2 is closest to: %3D 0.30 or 0.60? 90 80 70 60 50 40 30 20 10 무 -3 -2 -1 1 2 3 Differences Figure 4.16 Randomization distribution for Exercises 4.54 to 4.58 Frequency

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