Statistics Definition and 998 Threads

  1. T

    Statistics level of significance

    I need help with these statistics problems. Can anyone guide me through them? I would greatly appreciate it. I am completely lost on where to start. 1. Suppose you want to show the significance of an effect size of 0.20 between your sample mean and a hypothesized mean. You intend to conduct...
  2. E

    How to compare two data sets with statistics?

    I have two questions: I have a set of data, a measured spectrum. When I model the spectrum with a function, I calculate r2=1-(\sum(y-ymodel)2/\sum(y-yavg)2). Q1) However, I have reference data now, which is what the spectrum should be. So is it right to use the same calculation on it for...
  3. P

    Statistics Problem - Uniform Distribution

    Hi, The question is: http://puu.sh/5GX2G.jpg http://puu.sh/5GX2G.jpg I am not exactly sure what the question is asking. Here is the answer/solution: http://puu.sh/5GX68.png But I am not sure what is going on. Could someone please explain what exactly the question is asking...
  4. M

    Statistics Confidence Intervals Question?

    Homework Statement A Gallup Poll of 1002 adults in October 2002 found that 25% of the respondents said that their household had experienced a crime in the past year. Among respondents aged 18-29 years, 43% had been victims of a crime. Gallup says, “For results based on the total sample of...
  5. E

    Careers with a degree in Statistics

    Hello, I have a Bachelor of Science in Statistics from a Canadian University (York University). I've been trying to figure out what to do with my degree, but having problems figure it out. I was wondering if someone knows of some possible careers or jobs that require a degree a degree in...
  6. A

    How employable is a Statistics major, and what kind of jobs are availa

    I'm considering attending SF state to study Statistics with emphasis in Economics. However, I worry that the major isn't employable. If that is so, i would do engineering instead. How employable is a Statistics major? Do you think I should do engineering instead, even though I'm not that good...
  7. S

    Basic Statistics: Reciprocal Variable Better Fit?

    Hello, I have some data that I am looking into correlation factors (Pearson). Let's say I have two data sets: X and Y. I have Graph X vs. Y then graph 1/X vs. Y. The reciprocal (1/X) yields a more linear relationship. Why does this occur? Thanks in advance!
  8. A

    A statistics assignment (Binomial distribution)

    So I've translated this assignment from another language, but hope it's good enough translated/understandable. Homework Statement According to the Statistics of Denmark, there was in the construction sector in the period 2009-2011 an average of 920 business bankruptcies per year out of a...
  9. M

    Is the wave function real or abstract statistics?

    Is the wave function describing reality or does it describe the observers uncertainty about the system? I say that it's real but I would like to hear any comments or evidence that suggest the wave function isn't a description that has a one to one correspondence with a underlying reality. It's...
  10. A

    Why Is Each Quantum Oscillator's Energy Approximated as kT at Low Temperatures?

    Just one short question about something I didn't understand in my book: "At low temperaturs only vibration modes where hω<kT will be excited to any appreciable extent. The excitation of these modes will be approimately classical each with an energy close to kT." I don't understand the last...
  11. B0b-A

    A low number statistics probability-problem (genetics)

    A probability problem (genetics), not homework, honest. 3 of 5 siblings are affected by an unknown inherited disease*. That this outcome is higher than 1 in 4 which is typically the case in recessive traits suggests that the disease is more likely to be dominant than recessive. Given 3...
  12. A

    Help with Engineering Statistics

    Hi All, I am in the middle of my term and discovering that I'm terrible at Probability and Statistics. My professor is nice and so terribly clever that he makes it all seem reasonable (until I'm on my own with the text trying to make the work come out right.) If I don't change course, I 'm...
  13. A

    Statistics problem - Continuous random varibles

    Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 15.0 kips and standard deviation 1.25 kips. Compute the following probabilities by standardizing and then using Table A.3. a) P(X ≤ 15) b) P(X ≤ 17.5) c) P(X ≥...
  14. T

    L' Hopital Rule Problem and MGFs Statistics

    Homework Statement Hey all, been having some problem with the rule..technique looks right but doesn't agree with wolfram's calc answer. Doing a moment generating function problem. M(t)=(e^5t-e^4t)/t, Find EX and VARX Homework Equations M'(0)=e(x) and so on.. The Attempt at a...
  15. StevieTNZ

    Poisson Statistics + Photon Detections

    Hi there, Having done a Google, I wasn't able to find much information relating specifically to Poisson statistics and photon detections. I was wondering why photon detection experiments are calculated using Poisson statistics? (So for example, would Poisson distribution calculations be...
  16. B

    Recommendations for Mathematically Rigorous Texts on Statistics and Probability

    Hi PF, looking for a recommendation on a mathematically rigorous text on statistics (and perhaps probability). I have a decent amount of knowledge on linear & abstract algebra and calculus and analysis, so I don't mind if it uses them. What I don't want is a text that fails to prove its theorems...
  17. N

    Statistics problem-exponential approximation

    Statistics problem---exponential approximation Homework Statement A box contains 2n balls of n different colors, with 2 of each color. Balls are picked at random from the box with replacement until two balls of the same color have appeared. Let X be the number of draws made. a) Find a...
  18. Y

    Maxwell-Boltzmann Statistics integral

    Hey guys, I have this homework to do, but I can't find a solution. I need to solve this integral. It's Maxwell-Boltzmann Statistics, we are studying it in class of electronics. So, integral goes like this: [SIZE="5"]∫from Ws to ∞ [(W-Ws)(1/2)*e(WF-W)/kT]dW I have looked it up on google, but...
  19. ajayguhan

    Derivation of mazwell boltzman statistics.

    Let number of energy levels be e(subscribe 0), e(subscribe 1)...e(subscribe r) N be the total number of particles and n(subscribe i) be the number of particle in with energy level where i =0,1,2,...r Let Ω be the number of ways attaining a given microstate Ω=N!/[ n(subscribe 0)!*n(subscribe...
  20. R

    MHB Recommendations for good statistics textbook?

    I've never really taken any statistics beyond a college introductory course, and I've been put off taking more because of the lack of mathematical explanations and clarity of the texts that are typically used. Since I have a decent math background (basic analysis, basic algebra) I would much...
  21. L

    MHB Healthcare statistics problem help

    A hospital complied the following annual statistic for 2009 (non-leap year) (I am not coming up with any answer below) January 1st-June 30th Inpatient service days 26510 Bed Count 160 July 1st-Dec 31st Inpatient service days 33910 Bed count 200 Dec 31 only Inpatient Service days 185...
  22. L

    MHB How Do You Calculate the Number of Patients Hospitalized for More Than 3 Days?

    I need help setting this problem up. 6 out of 10 patients discharged in 3 days or less, 12,000 admissions, determine how many were hospitalized over 3 days. Thanks for the help.
  23. NATURE.M

    Counter-intuitive statistics puzzles

    Recently, I came upon the Monty Hall Problem, and found it to be quite interesting. Any suggestions of similar counter-intuitive statistics puzzles would be much appreciated.
  24. S

    (STATISTICS) 3 randomly selected observations from standard norm dist

    Homework Statement 3 randomly selected observations form the standard normal distribution are selected. What is the probability that their sum is less than 2? Homework Equations The Attempt at a Solution I know that the answer is 0.874928, but I don't know how to get that...
  25. C

    Why Does E(X1 + X2 + ... + Xn) Equal n*E(Xi) in Statistics?

    I'm a bit confused about a particular step in a calculation. Given Theta_n = (2/n)(X1 + X2 + ... + Xn) being an unbiased estimator of Theta for a U(0,Theta), we have to prove it by showing E(Theta_n) = Theta. And we go on E(Theta_n) = (2/n)E(X1+X2 + .. Xn) Now at this point the solution is...
  26. D

    Basic statistics calibration question

    Hi guys, My friend was asked the following question in an interview: There are 3 weight scales and a 10kg weight. You weigh the 10kg on each scale 5 times (total of 15 measurements for the 3 scales), each measurement is a bit off the 10kg mark (lets say the first scale shows: 11kg, 9.4kg...
  27. T

    Masters in computer science or Masters in applied statistics?

    Crap. I couldn't get everything i wanted in my topic title. Anywho, I'm wondering which masters degree would be better for a career in machine learning / smart data while still keeping other - traditional options available? I would love to do a double major and earn both graduate degrees but...
  28. N

    Boson statistics and the uncertainty principle

    This question is regarding the boson statistics and it’s relation to the uncertainty principle. Consider we have a vacuum state and we apply a field operator on it to create a particle at position x, we end up with state like \begin{array}{l} \left| \psi \right\rangle = {\psi ^\dag...
  29. B

    Occupational statistics for recent college graduates

    Does anyone have links to statistics detailing the plans of most recent American college graduates? For instance, about what % of 2012 graduates are going into graduate school? What percent of graduates are becoming full-time employees? What % are becoming waitresses, car mechanics, restaurant...
  30. M

    Statistics - Moment Generating Functions

    Homework Statement The moment generating function (m.g.f.) of a random variable X is defined as the Expected value of etX: M(t) = E(etX). The series expansion of etX is: etX = 1 + tX + (t2X2)/(2!) + (t3X3)/(3!) + ... Hence, M(t) = E(etx) = 1 + tμ1' + (t2μ2')/2! + (t3μ3')/3! +...
  31. D

    Best book on mathematical statistics

    Hi Please advice me a good book on mathematical statistics.I want it to be oriented in math students or engineering level. Best Regards
  32. A

    Statistics pertaining to thermodyanmics

    Thermodynamics states that a system cannot become more complex without some sort of input (which would make it an open system). In other words, a closed system cannot increase in complexity. I understand that complexity is a very ill-defined term. However, at least in principal, couldn't a...
  33. A

    How Do Chaos Theory and Statistics Connect?

    Good afternoon, I've come here to hopefully resolve an issue that cropped up in a debate with a friend. We were discussing weather patterns and chaos theory was brought up. My understanding of chaos theory is that it is a way of explaining behavior of certain deterministic systems aka...
  34. P

    Regarding indicators in Statistics.

    Hi, Homework Statement n different balls are distributed independently between m boxes with unlimited capacity each. I am asked to find the expectation and variance of the number of empty boxes. Homework Equations The Attempt at a Solution The probability of i-th box being empty...
  35. Biosyn

    Interpreting this Statistics question

    Homework Statement On p. 13, they present and discuss Table 1, summary scores for the test periods. At the bottom of the first column, they say that the "fall CBM WIF is 0.85 standard deviations below the mean." What mean are they referring to? What is the value of the mean? Homework...
  36. P

    Statistics - Dependence/independence of variables

    Hi, Homework Statement The sample space of the following problem is defined thus: all the possible permutations of {1,2,3} including {1,1,1}, {2,2,2}, {3,3,3}. Suppose all results are equally probable. Let Xi denote the value of the ith coordinate, where i=1,2,3. I am asked to determine...
  37. C

    Comparing Proportions: Choosing the Right Statistical Test for Your Data

    Sorry, no subforum for statistics so I posted it here.. Homework Statement So, if I have a given list of proportions n = 64 .11 .14 .16 .14 .13 .16 .16 and I want to compare it to another group of percentages n = North American Average .18 .19 ,20 .18 .14 .06 .05...
  38. G

    Fermi/Boson statistics partition function/probabilities

    Homework Statement If you have a three energy level system, with energies 0, A, B where B>A, which consists of only two particles what is the probability that 1 of the particles is in the ground state? What about if two of them are in the ground state? Do this using both fermi and boson...
  39. Andre

    Optimal linear combination of independent estimates for minimizing variance

    edit done I posted this here in an attempt to follow the rules for independent study. My knowledge of statistics is very rudimentary, so I would like to know if my approach does make any sense of not. Homework Statement The question is determine the age of a certain event based on a series of...
  40. P

    Statistics expectation problem involving circle.

    Hi, Homework Statement A circle of radius r is as shown in the attached diagram. I am asked to first express X as a function of θ, then to compute E(X). It is also stated that θ obeys U[0,2π]. Homework Equations The Attempt at a Solution Through simple trigonometry I have found X...
  41. P

    Statistics expectation of discrete variable.

    Hi, Homework Statement How may I find to what number Ʃ(m=1 to ∞) m/2m-1 converges? Further, suppose I know it converges to 4, why would then E(Y), given that P(Y) = 1/2m-1, be equal to 2 (thus asserted the answer) and not 4? Homework Equations The Attempt at a Solution I am...
  42. W

    Is Statistics Just a Game of Puzzles and Probability?

    Hi, I was just working on a problem based on the probability of wind or rain. The only way to solve it is to assume they are dependent factors when they clearly are not. Assuming independence will lead to the wrong conclusion. If stats demands one ignore reality to solve a problem, to bend...
  43. D

    Statistics- Rolling a loaded die

    Homework Statement A certain die is weighted such that probabilities of showing a 1, 2, 3, 4, 5, and 6 are (6/34), (8/34), (5/34), (3/34), (8/34), and (4/34) A) If two such dice are thrown, and you are told that the sum of the two is 10 or larger. What is the probability that the...
  44. G

    Statistics Question -> Elevator Question

    I don't really know how to phrase this question. But what floor in a building takes the less time to wait for an elevator? Like for example. Say that there's a building with two elevators in it. Each floors are the same height. Each elevator travels at the same speed. The first floor has...
  45. G

    Statistics - Discrete Markov Chains

    Homework Statement Homework Equations The Attempt at a Solution I'm not really sure if this belongs here or in the precalculus mathematics section. I had to take calculus before taking this class so I'm putting it here. I'm confused about part (b). I don't really...
  46. P

    Statistics - Poisson distribution question.

    Hi, Homework Statement I am somewhat perplexed by the proposed solution to the following Statistics problem and was hoping one of you might be willing to help me settle this: An operator receives phone calls between 8AM and 4PM at an average rate of 20 calls/hour. No call was received during...
  47. D

    Skewness, logarithm and reversing in statistics

    I need some advice, What could it possibly mean, in an article I am studying, where the results of a test (visual-spatial working memory) in relation to a variable (Maths skills in kids) is being discussed as follows: "The distribution of the variable was so negatively skewed, that it was...
  48. G

    Schools Statistics on Ivy League Admitted Based on College for Undergrad?

    Sorry if the title seems confusing, but I'm basically asking if there's data on which schools those admitted to an Ivy League came from, or earned their bachelor's from. Searches on Google simply give me percentages on those who applied that were admitted. Help would be appreciated.
  49. M

    Real-world logic problem with statistics and groups

    First let me apologise for the improper use of 'groups'. I'm not a mathematician but I know that 'groups' means something specific. Anyway, here is my problem. The exact circumstances of my problem are esoteric and bothersome to explain, and I don't want to distract you with details that do...
  50. B

    Statistics - Joint PMF / Hypothesis Testing

    Homework Statement We sample a population 50 times with replacement, with all individual sampled equally likely. We survey the gender and quality of life. The counts are: Male: 13 high quality, 11 low | female: 18 high, 8 low. Let P_M, P_F, P_H, P_L to denote these population proportions for...
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