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Videos uploaded by user “poysermath”
Both a "normal distribution" and "standard normal distribution" are discussed/defined.
Views: 418397 poysermath
Demonstrates the basics of hypothesis testing using the P-value method: find the test statistic which in turn gives us the P-value, then compare the P-value to the level of significance (alpha) to determine whether or not the Null Hypothesis is rejected or not. PLEASE READ!! I did not make a mistake by showing .0045 as the area (probability) for 2.61. Look carefully at my picture. I have shaded to the **RIGHT** of 2.61, not to the left. If you look up 2.61 on your table and see .9955 your table is assuming you want the area shaded to the LEFT of 2.61. Again, I shaded to the RIGHT of 2.61. I hope that makes sense!
Views: 1053582 poysermath
Demonstrates to approximate a binomial probability distribution with a normal distribution. "Continuity correction" is explained. (Part 1 of 2)
Views: 72395 poysermath
Finding the z-score that corresponds to a given Percentile (area shaded to the left of the z-score).
Views: 355715 poysermath
Demonstrates the basics of hypothesis testing using the traditional method: find the test statistic and the critical value, then compare the two numbers to determine whether or not the Null Hypothesis is rejected or not.
Views: 362924 poysermath
How to find the area under a normal curve, given a z-value, shaded to the left, shaded to the right, and shaded in between.
Views: 1146242 poysermath
Short demonstration of the Complement Rule for Probability.
Views: 58862 poysermath
Describes how to find the Limits @ Infinity for a rational function to find the horizontal and vertical asymptotes.
Views: 129831 poysermath
Binomial Probability Distribution defined. Demonstrates how to find the probability of exactly "x" number of success. (Part 1)
Views: 448433 poysermath
Demonstrates a simple Integration by Substitution example.
Views: 37740 poysermath
Rational Expressions are simply fractions.... Fractions with Variables in them. So, given a rational expression, how do you find the value(s) that would make the expression Undefined? This video shows you how. It also briefly explains what is meant by "undefined."
Views: 39053 poysermath
Demonstrates how to find the mean and standard deviation of discrete (countable) random variables BY HAND. It's long and tedious, and involves lots of steps. But, with time, and attention to detail, it can be done!
Views: 59457 poysermath
Finding the z-value if given the probability (area under curve) of a normal distribution.
Views: 375952 poysermath
Demonstrates how to find the slope of a tangent line using the difference quotient's definition of a derivative. Then, it shows how to use the slope of the tangent line, along with a given point to find the equation of the tangent line at that given point.
Views: 250719 poysermath
Demonstrates how to find cutoff scores (z-scores) that correspond to a given %, assuming a standard normal distribution.
Views: 80054 poysermath
This video describes how to change a given random variable (x) into a z-score, if the pop mean and pop stand deviation are known.
Views: 31502 poysermath
This video demonstrates hypothesis testing using the P-value method. This example assumes you know sigma (the population standard deviation), so it's a z-test, NOT a t-test.
Views: 40148 poysermath
For my statistics students at QCC: Demonstrates a few examples of how the General Addition Rule is used. p. 312: #13 - 15
Views: 33769 poysermath
Given that we have 10 eggs in a basket, 3 of which are cracked eggs, we will randomly choose 4 of the 10 eggs. This video demonstrates how to find the probability that (a) all three of the cracked eggs are selected, (b) none of the cracked eggs are selected, and (c) two of the cracked eggs are selected.
Views: 23261 poysermath
Given a linear equation as the integrand, I demonstrate how to find the area under the "curve" using the formula for a Trapezoid, as well as using the Fundamental Theorem of Calculus. Both methods yield the same result.
Views: 12343 poysermath
Demonstrates how to find the derivative of a given equation, which contains a trig function in it, that involves the use of Implicit Differentiation. It also uses the Product Rule and the Chain Rule.
Views: 35310 poysermath
Demonstrates a definite integration using substitution, where the integrand has a square root in it.
Views: 43636 poysermath
Demonstrates two problems where you need to use the Quotient Rule for derivatives, where the numerators and denominators both have trigonometric functions in them.
Views: 15436 poysermath
Demonstrates how to find the derivative of (9x / 4x + 1)^6. Both the Chain Rule and the Quotient Rule are used in this example, as well as a calculator to find a large coefficient.
Views: 26111 poysermath
Given a Binomial Probability Distribution, demonstrates how to find the probability of "at least x" successes, "more than x" successes, "at most x" successes, and "fewer than x" successes. (Part 2 of 2)
Views: 203136 poysermath
How to create a MS Excel spreadsheet to determine the area (probability) under the normal curve instead of a table. Given a z-score, this shows how to find the prob shaded to the left of the z-score, shaded to the right of the z-score, and shaded in between two z-scores. It uses the Excel formula called "Normsdist()".
Views: 54969 poysermath
This video describes the Pairwise Comparison Method of Voting. Each pair of candidates gets compared. The winner of each comparison is awarded a point. And the candidate with the most "points" is the winner. If there is a tie in the comparison, then each candidate gets 1/2 a point.
Views: 8946 poysermath
This video walks through a hypothesis testing example using the critical value method. In this example, sigma (the population standard deviation) is known. So, it's a z-test, NOT a t-test. This is important!
Views: 23083 poysermath
Demonstrates how to find the Mean (Expected Value) and Standard Deviation of discrete random variables using MS Excel (version 2007).
Views: 20463 poysermath
Demonstrates the derivative of e^x using the Quotient Rule and the Chain Rule.
Views: 6218 poysermath
Demonstrates how to evaluate a definite integral using the 1st Fundamental Theorem of Calculus, where the integrand is a quadratic equation.
Views: 30302 poysermath
Two examples are shown using a Normal Distribution to approximate a Binomial Probability Distribution. In the first example we cannot approximate the binom dist with the normal dist. But in the second example we can.
Views: 30805 poysermath
Demonstrates "Integration by Substitution" with a trickier problem. I forgot to show the check, so take the derivative of the answer I came up with, using the chain rule, and verify that it takes you back to the original integrand.
Views: 12596 poysermath
MAT 123 Solving exponential equations, using substitution and quadratic equations, and using natural logarithms.
Views: 15553 poysermath
Plurality-with-elimination method of voting is "the MAJORITY of 1st place votes". This means the winner must have more than 1/2 of the 1st place votes. If a candidate does not have a majority of 1st place votes, then the candidate with the least number of 1st place votes gets eliminated, and the rest of the candidates "move up". Now recount the 1st place votes. Keep repeating this process until a candidate eventually has the majority of first place votes.
Views: 3739 poysermath
Demonstrates how to: given a table, use it and the General Addition Rule to determine various probabilities.
Views: 4288 poysermath
Demonstrates how to find the derivative of (tan x)(sec x) using the Product Rule. The answer is given in two equivalent forms.
Views: 5001 poysermath
Shows how to rewrite an equation with a radical so that it looks like exponential form, then converting the exponential form into Logarithmic form.
Views: 5302 poysermath
This video shows how (& why) to simplify rational expressions with "opposite terms" such as (6 - p) / (p - 6).
Views: 1301 poysermath
Demonstrates how to find the first derivative (slope of tangent line) at a given point. And shows how to find the equation of the tangent line after finding the slope, at some given point.
Views: 11309 poysermath
This video demonstrates how to use the Gen. Multiplication Rule for an application problem.
Views: 3916 poysermath
Demonstrates how to integrate an integrand of (1/u) using natural logarithms. This is a simple introduction to the integration of a transcendental function.
Views: 5555 poysermath
Plurality-with-elimination method used to see if Monotonicity criterion is satisfied. Flaws of voting method.
Views: 2369 poysermath
Demonstrates the Product Rule for derivatives as well as the Chain Rule to find the second derivative of the product of trig functions.
Views: 8829 poysermath
Demonstrates how to find the Total Area and Net Area between an absolute value function and the x-axis.
Views: 6471 poysermath
A definition of a logarithm is given, as well as a demonstration of rewriting an equation in exponential form into logarithmic form, and backwards too.
Views: 763 poysermath
Demonstrates how to add and subtract rational expressions by first finding the LCD, then changing each fraction to match its new denominator, then simplifying the result.
Views: 5190 poysermath
Demonstrates how to graphically find the Net Area of an integral, given specific intervals.
Views: 3890 poysermath
Demonstration of Commutative Property, Associative Property, Identity Property, Inverse Property, and Distributive Property.
Views: 2244 poysermath
Function Transformation for MAT 123; Reflection over x-axis and horizontal shifting
Views: 8334 poysermath