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    Margin of error in a t-distribution

    This is a school project. The statistical analysis is simply an attempt to show that some thought went into the sample size and it was not chosen randomly.
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    Margin of error in a t-distribution

    I did some research and one study suggested taking a couple samples, finding the minimum number of samples for a z-distribution, then use that value of n in determining the degrees of freedom for the t-distribution. Then I solve for the new n. with each new sample everything is recalulated, S, n...
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    Margin of error in a t-distribution

    Thank you for your help. It is greatly appreciated.
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    Margin of error in a t-distribution

    That is exacting what I am trying to say. If "frequentist" statistics are not the right route what theories/methods should I be looking at? I am trying to find the coefficient of friction, and I plan to use the sample mean as the estimator.
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    Margin of error in a t-distribution

    This is not a homework problem. I am working on an experiment and I need to know how many samples (n) I need to achieve a margin of error (e) below 2%. Looking through a statistics text book they provide a calculation for e using z-distributions, but not t-distributions. Replacing...
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    Finding the Basis?

    In a solution to an old exam the prof found a basis of a 5x5 matrix by simply subtracting the transpose of A from A aka(A - A^T) and then found the basis for the null for the now much simplified matrix. Is that a general guideline I can follow? If so it would make my life a lot easier.
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    Finding the Basis?

    I think you are missing the point of what mechanical thinking means in this context. By mechanical thinking the author assumes that the reader can understand the theorems as they stand with a level of clarity that they can then turn around and use them creatively on real problems. What...
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    Finding the Basis?

    "Yeah, it as if they expected us to think!" By "think" I can only assume you are referring to mechanical thinking. Believe me, I know exactly why the book is written the way it is and why it is such a flawed approach. The author, like most mechanical thinkers, over assumes and is incapable of...
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    Finding the Basis?

    Find a basis for and calculate the dimension of nullA: A = [1 2 7]T, [1 1 2]T, [-2 0 6]T, [0 1 -10]T, [4 -5 -7]T Like most algebra texts mine has pages and pages of proofs with hardly a single example tying it together. Here is what I think I know: If the determinant does not equal 0...
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    Vector spaces, Spans and Matrix Determinants

    Yeah, I am starting to see that. I also found another theorem which counters what I posted before. An nxn matrix is invertible if and only if 1) the rows are linearly independent (otherwise det = 0)* 2) the columns are linearly independent (otherwise det = 0)* 3) rows of A span R^n So in...
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    Vector spaces, Spans and Matrix Determinants

    Ok, to clear things up a little Given vectors X1, X2..., X3 in R^n, a vector in the form X = t1 X1 + t2 X2 + ... tk Xk 1. the set of such linear combinations is called a span of the Xi and denoted by span{X1, X2, ...Xk} 2. If a family of vectors is linearly independent none of them can be...
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    Vector spaces, Spans and Matrix Determinants

    I think I have something mixed up so if someone can please point out my error. 1. the set of all linear combinations is called a span. 2. If a family of vectors is linearly independent none of them can be written as a linear combination of finitely many other vectors in the collection. 3. If...
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    How can you find two different values for sin^-1(0.750)?

    Ok, I figured it out. Because of the direction of the vector it is not 0 degrees + 48.6 degrees but 180 degrees - 48.6 degrees which equals 131.4 degrees
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    How can you find two different values for sin^-1(0.750)?

    I am working on a statics question and one of the angles is sin^-1(0.750) which I calculate as 48.6 degrees though the book gives 131.41 degrees If I calculate sin(48.6) it equals 0.750 If I calculate sin(131.41) it equals 0.750 Clearly there is some relation or rule that I am unaware of...
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    Determine the length of l (equilibrium)

    A ring of negligible size is subjected to vertical force P. Determine the required length l of the cord AC such that tension acting in AC is TAC. Also, what is the force acting in cord AB? P = 300N, d = 0.2m (distance between A & B), angle ABC = 45 degrees, TAC = 250N The graph...
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    Structural Formulas for all the (C5H11OH) alcohols

    *Update* Alcohols with the molecular formula C5H11OH are collectively known as Amyl Alcohols.
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    Structural Formulas for all the (C5H11OH) alcohols

    Given: Draw structural formulas for all the alcohols that have the molecular formula C5H11OH. Name each one and classify them as primary, secondary, or tertiary alcohols. Describe how they are formed and give two uses for this type of alcohol. Solution: I am still at the naming portion but...
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    Electrolysis of water and charges help

    Maybe I am missing something but I did this question very differently than Gymstar and Yellowduck: a) The molar volume of any gas at STP is 22.4 L Therefore 11.2 L of oxygen at STP = 1/2 mole 1 molecule of oxygen requires 4 electrons (each O requires 2 electrons O^2^-and oxygen is...
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    Reducing and oxidizing agents

    Apparently, I'm not the only one having trouble with this question. Here is my take on it. B does not react with any of the others so it is the strongest reducing agent (loses electrons) A is above B, D and H2 but not C. C reacts with everything so it is the weakest reduction agent...
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    Oxidation numbers

    SO_4^2^- + I^- +H^+ \xrightarrow{} S^2^- + H_2O I have a simular question and I just wanted to go over it to make sure I have it right. Reduction Reaction: SO_4^2^- \xrightarrow{} S^2^- 8e^- + 8H^+ +SO_4^2^- \xrightarrow{} S^2^- +4H_2O Oxidation Reaction: I^- \xrightarrow{} I_2...
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    Equilibrium equations

    I have a follow up question: Pour a solution of K2CrO4 and K2CR2O7 into separate test tubes. Add Ca(OH)2 to the solution. Results: CrO4 stays yellow, Cr2O7 becomes very pale Explain why Ca(OH)2 has little effect on the equilibrium I answered: Ca(OH)2 is moderately soluble in water. Heat...
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    Equilibrium equations

    I believe so a) 2H + 2CrO4 --> Cr2O7 +H2O b) 2OH + Cr2O7 --> 2CrO4 + H2O c) H + 2CrO4 --> OH + Cr2O7
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    Equilibrium equations

    Sorry, do you mean right, H2O should not be included. Also, I corrected (I think) all the coefficients.
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    Equilibrium equations

    Write the equations for the equilibrium, showing a) the reaction between H and CrO4 to produce Cr2O7 and H2O b) the reaction between OH and Cr2O7 to reproduce CrO4 and H2O c) a summation equation showing both H and OH in the equilibrium reaction between CrO4 and Cr2O7 First I found the...
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    Equilibrium (water and ethanol)

    Ethanol and water are completely miscible; that is, they dissolve in each other in all proportions a) When two substances are mixed, is randomness increased or decreased? b) Heat is liberated in the disolving process. Does the tendency toward minimum energy favour the seperated pure...
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    Rate law for the reaction

    Mixture-----[I-] (mol/L)---[S2O8^2] (mol/L)---Time (s) 1---------------0.10--------------0.050-------------20 2---------------0.075-------------0.050-------------28 3---------------0.050-------------0.050-------------41 4---------------0.025-------------0.050-------------84...
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    Use binomial theorem to prove

    Use binomial theorem to prove C(n,0) - 3(C(n,1)) + 9(C(n,2) - 27(C(n,3) + ... + (-3)^n(C(n,n) = (-2)^n From looking at the data given b = (-3) so a = 1 so (-2)^n = (1-3)^n With this I know the equation in sigma notation and could probably prove the theorem through mathematical induction but...
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    Calculating heat of combustion

    C2H6 --> C2H4 + H2 +136.7kJ + C2H4 + 302 --> 2CO2 + 2H20 -1409.5kJ = C2H6 + 3O2 --> 2CO2 + 2H2O + H2 -1272.8kJ + H2 + 1/2 O2 --> H2O -285.5Kj = C2H6 + 3.5O2 --> 2CO2 + 3H2O - 1558.3kJ So 1558.3kJ is the final answer?
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    Roller coaster K/P energy problem wheeeee!

    For anyone doing this course, I had to assume a distance for line "E" I chose 50 meters. I received full marks for the question.
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