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Videos uploaded by user “poysermath”
Stats: What is a "Standard Normal Distribution"?
 
04:34
Both a "normal distribution" and "standard normal distribution" are discussed/defined.
Views: 365499 poysermath
Stats: Hypothesis Testing (P-value Method)
 
09:56
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: 1003924 poysermath
Stats: Hypothesis Testing (Traditional Method)
 
11:32
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: 351727 poysermath
Stats: Approximating a Binomial Prob Distribution using a Normal Distrib (Part 1)
 
10:30
Demonstrates to approximate a binomial probability distribution with a normal distribution. "Continuity correction" is explained. (Part 1 of 2)
Views: 67227 poysermath
Stats: Percentile, z-score, and Area Under Normal Curve
 
05:40
Finding the z-score that corresponds to a given Percentile (area shaded to the left of the z-score).
Views: 334876 poysermath
Stats: Finding Probability Using a Normal Distribution Table
 
11:23
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: 1061588 poysermath
Stats:  Complement Rule
 
02:45
Short demonstration of the Complement Rule for Probability.
Views: 54961 poysermath
Calc I: Horizontal & Vertical Asymptotes with Limits @ Infinity
 
12:23
Describes how to find the Limits @ Infinity for a rational function to find the horizontal and vertical asymptotes.
Views: 123415 poysermath
Stats: Binomial Probability Distribution (Part 1)
 
09:40
Binomial Probability Distribution defined. Demonstrates how to find the probability of exactly "x" number of success. (Part 1)
Views: 424955 poysermath
Find value(s) of variable that make a fraction UNDEFINED
 
07:40
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: 37211 poysermath
Calc I: Integration by Substitution (Introduction)
 
07:51
Demonstrates a simple Integration by Substitution example.
Views: 36986 poysermath
Calc I: Find slope & equation of tangent line at a given point
 
09:50
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: 237939 poysermath
Stats: Find the Mean and Standard Deviation of Discrete Random Variables (by Hand)
 
12:17
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: 56055 poysermath
Stats: Finding Z-value Given the Probability
 
10:11
Finding the z-value if given the probability (area under curve) of a normal distribution.
Views: 357806 poysermath
Stats: Finding Cut-off Values given Standard Normal Distribution
 
05:51
Demonstrates how to find cutoff scores (z-scores) that correspond to a given %, assuming a standard normal distribution.
Views: 76356 poysermath
Find area under curve of a normal distribution
 
04:01
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: 29213 poysermath
Stats: Application of Approximating a Binom. Dist. using a Normal Dist
 
11:49
This video demonstrates how to find the probability that a flight is overbooked, given that a plane holds 211 seats but 234 reservations were made, and the probability that a passenger does not show up for a flight is 0.0672. This uses "Continuity Correction" in the problem.
Views: 13844 poysermath
Stats: Hypothesis Testing using P-Value Method (Example)
 
13:45
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: 37247 poysermath
Calc I: Implicit Differentiation involving Trig Functions.
 
12:19
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: 33552 poysermath
Calc I: Finding area under a curve (function) using Geometry and Fund Th'm of Calc
 
06:50
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: 12023 poysermath
Stats: General Addition Rule for Probability
 
08:25
For my statistics students at QCC: Demonstrates a few examples of how the General Addition Rule is used. p. 312: #13 - 15
Views: 32240 poysermath
Stats: Probabilities using Counting Principles
 
10:55
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: 22029 poysermath
Calc I: A Definite Integration by Substitution using square roots
 
08:11
Demonstrates a definite integration using substitution, where the integrand has a square root in it.
Views: 42083 poysermath
Calc I: Quotient Rule for derivatives of Trigonometric Functions
 
08:11
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: 14238 poysermath
Using MS Excel Instead of a Standard Normal Distrib Table
 
08:26
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: 51786 poysermath
Stats: Hypothesis Testing using Critical Value Example
 
12:25
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: 21384 poysermath
Stats: Binomial Probability Distribution (Part 2)
 
06:07
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: 191719 poysermath
Calc I: Using both Chain Rule and Quotient Rule in same problem.
 
07:59
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: 23522 poysermath
Stats: Approximating a Binomial Prob Distribution using a Normal Distrib (Part 2)
 
13:16
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: 28893 poysermath
Calc I: Evaluate an Integral using the Fundamental Th'm of Calculus
 
08:01
Demonstrates how to evaluate a definite integral using the 1st Fundamental Theorem of Calculus, where the integrand is a quadratic equation.
Views: 29362 poysermath
Solve Exponential Equation (Quadratic)
 
04:43
MAT 123 Solving exponential equations, using substitution and quadratic equations, and using natural logarithms.
Views: 15228 poysermath
Calc I: Derivative of e^x using Quotient Rule
 
05:21
Demonstrates the derivative of e^x using the Quotient Rule and the Chain Rule.
Views: 5806 poysermath
Simplifying Rational Expressions (Part 2 of 2) with "opposite terms"
 
09:43
This video shows how (& why) to simplify rational expressions with "opposite terms" such as (6 - p) / (p - 6).
Views: 1257 poysermath
Stats: Find the Mean and Standard Deviation of Discrete Random Variables (using Excel)
 
11:06
Demonstrates how to find the Mean (Expected Value) and Standard Deviation of discrete random variables using MS Excel (version 2007).
Views: 20077 poysermath
Calc I: Integration by Subst using Natural Log (Intro)
 
04:03
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: 5433 poysermath
Pre-Calc: Rewriting Equations with Radicals as Equivalent Logarithms
 
05:49
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: 5116 poysermath
Survey: Plurality-With-Elimination Method of Voting
 
06:07
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: 2732 poysermath
Calc I: Use Product Rule to find derivative of product of two trig functions.
 
06:10
Demonstrates how to find the derivative of (tan x)(sec x) using the Product Rule. The answer is given in two equivalent forms.
Views: 4691 poysermath
Survey: Pairwise Comparison Method of Voting
 
06:27
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: 6587 poysermath
Calc I: Integration by Substitution (Tricky One!)
 
07:35
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: 12055 poysermath
Calc I: Find f'(a) for a given value of "a" and the equation of tangent line
 
10:41
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: 10736 poysermath
Adding/Subtracting Rational Expressions (w/ 3 fractions)
 
05:50
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: 5047 poysermath
Stats: General Addition Rule (more examples)
 
08:56
Demonstrates how to: given a table, use it and the General Addition Rule to determine various probabilities.
Views: 4105 poysermath
Hints on Factoring Simple Trinomials
 
07:42
Coefficient is defined, then hints are given to factor trinomials regarding which signs go in the two sets of ( )( ). FOIL your answer to see if it's correct.
Views: 2034 poysermath
Properties of Real Numbers
 
10:21
Demonstration of Commutative Property, Associative Property, Identity Property, Inverse Property, and Distributive Property.
Views: 2187 poysermath
Survey: Monotonicity Criterion
 
07:02
Plurality-with-elimination method used to see if Monotonicity criterion is satisfied. Flaws of voting method.
Views: 2156 poysermath
Calc I: Find y'' if y = sinx cosx
 
10:08
Demonstrates the Product Rule for derivatives as well as the Chain Rule to find the second derivative of the product of trig functions.
Views: 8545 poysermath
Calc I: Find area under curve for Absolute Value of a function using Geometry.
 
08:19
Demonstrates how to find the Total Area and Net Area between an absolute value function and the x-axis.
Views: 6160 poysermath
Calc I: Net Area under curve related to Integrals
 
04:48
Demonstrates how to graphically find the Net Area of an integral, given specific intervals.
Views: 3716 poysermath
Pre-Calc: Introduction to Logarithms
 
08:32
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: 731 poysermath

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