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- Solve the following problems based on the step-by-step procedure of the Non-Parametric Tests. Show complete solutions and answer. Use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. Use a 0.05 significance level to test the claim that the different size categories have the same median chest deceleration in the standard crash test. Small 44 39 37 54 39 44 42 Midsize 36 53 43 42 52 49 41 Large 32 45 41 38 37 38 33Given that Y1, Y2, Y3, ..., Yn is a random sample from a gamma distribution with parameters alfa = 3, and Beta = theta, find the mle of theta.32 Sick leave of employees in a factory before and after Covid-19 was investigated in a year. Which of the following is the test statistic value in the hypothesis of whether there is a difference between the sick leaves of the employees? (The data do not satisfy the parametric assumption). 32 - a) 15.5 B) 7.5 NS) 5.5 D) 3,5 TO) 9.5
- Question 5.4 D,E,F,G,H,I with bell curve drawingA study conducted at Ateneo de Naga University revealed that students who attended class 95 to 100% of the time usually received an A in the class. Students who attended class 80 to 90% of the time usually received a C+ to B+ in the class. Students who attended class less than 80% of the time usually received a D or an F or eventually withdrew from the class. In this research in AdNU with 5000 students in which 100 students participated in the survey, what is the parameter of the study? a. 80% b. 80 - 90% c. 100 d. 95 - 100 % e. 5000Given that X1, X2, and X3 are standard normal IID RVs. Find the joint pdf of (Y1, Y2) which are defined below: Y1 = X1 + X2 + X3 and Y2 = X1 + 2X2 - 3X3
- PART D,E,F A researcher wants to compare three different exercise programs. For each program, five volunteers follow it for a month and their weight losses are recorded below. Use a 0.01 significance level to test the claim that the three different exercise programs produce the same mean weight loss Program A: 2.5 8.8 7.3 9.8 5.1 Program B: 5.8 4.9 1.1 7.8 1.2 Program C: 4.3 6.2 5.8 8.1 7.9 a. Define the parameter(s) A. mu 1 equals The mean weight loss by the 5 people on program A mu 2 equals The mean weight loss by the 5 people on program B mu 3 equals The mean weight loss by the 5 people on program C B. mu 1 equals The mean weight loss by all people on program A mu 2 equals The mean weight loss by all people on program B mu 3 equals The mean weight loss by all people on program C C. mu equals The mean weight loss for all people D. p 1 equals The mean…The 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. This problem is a test on what population parameter? What is the null and alternative hypothesis? What are the Significance level and type of test? What standardized test statistic will be used? What is the standard test statistic? What is the Statistical Decision? What is the statistical decision in the statement form?Solve the following problems based on the step-by-step procedure of the Non-Parametric Tests. Show complete solutions and answer. Listed below are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample by baby teeth obtained from Pennsylvania residents and New York residents born after 1979. Use a 0.05 significance level and Wilcoxon rank-sum test to test the claim that the median amount of strontium-90 from Pennsylvania residents is the same as the median from New York residents. Pennsylvania 155 142 149 130 151 163 151 142 156 133 138 161 New York 133 140 142 131 134 129 128 140 140 140 137 143
- Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.5 5.2 6.7 4.4 6.5 5.7 5.2 6.9 4.1 5.9 4.4 7.8 4.3 5.5 5.7 5.3 6.4 6.1 5.8 5.5 6.9 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 10% level of significance. (a) What is the level of significance? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = ? SSBET = ? SSW = ? Find d.f.BET, d.f.W, MSBET, and…Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.5 5.2 6.8 4.6 6.5 5.3 5.1 6.1 4.4 5.5 4.1 7.9 4.1 5.1 5.9 5.4 6.1 6.9 5.4 5.1 6.6 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?1 = ?2 = ?3; H1: Exactly two means are equal.Ho: ?1 = ?2 = ?3; H1: Not all the means are equal. Ho: ?1 = ?2 = ?3; H1:…Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.7 5.1 6.5 4.7 6.2 5.1 4.7 6.6 4.7 5.8 4.9 7.5 4.6 5.2 5.3 5.3 6.2 6.2 5.4 5.8 6.4 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 2 decimal places.)What are the degrees of freedom? (numerator) (denominator)