STAT 543 Homework 4 Solution Feb. 10th‚ 2005 STAT 543 Homework 4 Solution 1. Problem 2.1.2 Consider n systems with failure times X 1 ‚...‚ X n assumed to be independent and identically distributed with exponential‚ Σ(λ ) ‚ distributions. (a) Find the method of moments estimate of λ based on the first moment. (b) Find the method of moments estimate of λ based on the second moment. (c) Combine your answers to (a) and (b) to get a method of moment estimate of λ based on the first two moments
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STAT 151 Introduction to Applied Statistics I Byron Schmuland CAB 473 byrons@ualberta.ca Why bother with statistics? If your experiment needs statistics‚ you ought to have done a better experiment. Ernest Rutherford Uncertainty is everywhere! Many processes in nature (chemical‚ physical‚ economic‚ etc.) follow laws that are not exact‚ but are subject to a certain amount of chance variation. It is impossible to eliminate all sources of variation from an experiment‚ no matter
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STAT 420 Examples for 01/15/2013 Spring 2013 Bivariate Normal Distribution: 1 f (x‚ y ) = 1− ρ 2 2 π σ1 σ 2 1 − 2 1− ρ 2 exp ( ) 2 x − µ1 σ 1 x −µ1 −2ρ σ 1 y −µ 2 y −µ 2 + σ2 σ2 2 ‚ − ∞ < x < ∞‚ − ∞ < y < ∞. (a) 2 2 the marginal distributions of X and Y are N µ 1 ‚ σ 1 and N µ
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In order to compare the three reading groups‚ we will need to do an overall test of multiple means. This will test whether or not the group mean of Schmedlap’s program is statistically significant when compared to the other two groups means. In the case where there are more than two levels of the independent variable‚ the analysis goes through two steps; first‚ we will carry out an overall f-test to determine if there is any significant differences existing among any of the means. If we find that
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The Probability of On-Base Percentage Affecting Total Team Wins I. Abstract In the baseball world‚ On-Base Percentage is the key element to a team’s advancement to post-season play‚ because offensive domination is essential to the desired outcome‚ namely‚ winning. The following will describe the relationship between On-Base Percentage and the total amount of wins a Major League Baseball team receives using a linear regression model and other descriptive graphs. II. Introduction Essentially
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QUESTIONS Question 1: The data shown below are chemical process yield on successive days. Construct a histogram for these data. 94.1 | 87.3 | 94.1 | 92.4 | 84.6 | 85.4 | 93.2 | 84.1 | 92.1 | 90.6 | 83.6 | 86.6 | 90.6 | 90.1 | 96.4 | 89.1 | 85.4 | 91.7 | 91.4 | 95.2 | 88.2 | 88.8 | 89.7 | 87.5 | 88.2 | 86.1 | 86.4 | 86.4 | 87.6 | 84.2 | 86.1 | 94.3 | 85.0 | 85.1 | 85.1 | 85.1 | 95.1 | 93.2 | 84.9 | 84.0 | 89.6 | 90.5 | 90.0 | 86.7 | 87.3 | 93.7 | 90.0 | 95.6 | 92.4 | 83.0 | 89
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Blackboard Problem Set #6a 1. Consider the joint probability distribution of X and Y: x = 2 x = 4 y = 1 0.3 0.2 y = 2 0.1 0.4 What is E(X|y = 1) (rounded to four decimal places)? 2. Consider the joint probability distribution of X and Y: x = 2 x = 4 y = 1 0.3 0.2 y = 2 0.1 0.4 What is E(Y|x = 4) (rounded to four decimal places)? 3. Undergraduates are asked to write a 300-word essay. The
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The primary goal of this research is to find out whether the display of red by a female can increase her attraction to a male significantly. In this research‚ the researchers dis more observations than self-report is because self-report data have well-known limitations in comparison to direct observations of human behavior. We are finding some common reactions across species. Apparently‚ examinations of behavior represent a more direct test of parallels between human and non-human functioning with
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STATISTIC (1) A study of the number of cars sold looked at the number of cars sold at 500 Dealers The smallest dealer had 11 cars sold and the largest had 154 cars sold. If you were going to create a frequency distribution of the number of cars sold using six classes in your frequency distribution‚ which of the following might be a reasonable first class? (a) 0 to 25
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Affirmative Action at the University of Selkirk and the Portrait of a Canadian Advisor #1) Perceptual Biases The business department was biased towards the AAC’s work because the department was comprised of 85% of males. The majority of AAC members‚ on the other hand‚ consisted only of women faculty members and librarians who believed that academic facilities were dominated by men and that there were an implicit set of values that effectively excluded women. Since the majority of the members
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