Mathematics, Statistics, Population Distribution vs. Sampling Distribution, The Mean and Standard Deviation of the Sample Mean, Sampling Distribution of a Sample Mean, Central Limit Theorem
Normal Distribution – Introduction and PropertiesSundar B N
In this video you can see Normal Distribution – Introduction and Properties.
Watch the video on above ppt
https://www.youtube.com/watch?v=ocTXHLWsec8&list=PLBWPV_4DjPFO6RjpbyYXSaZHiakMaeM9D&index=4
Subscribe to Vision Academy
https://www.youtube.com/channel/UCjzpit_cXjdnzER_165mIiw
1. Illustrate point and interval estimations.
2. Distinguish between point and interval estimation.
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https://cristinamontenegro92.wixsite.com/onevs
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Chapter 6: Normal Probability Distribution
6.4: The Central Limit Theorem
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http://www.youtube.com/onlineteaching
Chapter 5: Discrete Probability Distribution
5.1: Probability Distribution
Chapter 5 part2- Sampling Distributions for Counts and Proportions (Binomial ...nszakir
Mathematics, Statistics, Sampling Distributions for Counts and Proportions, Binomial Distributions for Sample Counts,
Binomial Distributions in Statistical Sampling, Binomial Mean and Standard Deviation, Sample Proportions, Normal Approximation for Counts and Proportions, Binomial Formula
Normal Distribution – Introduction and PropertiesSundar B N
In this video you can see Normal Distribution – Introduction and Properties.
Watch the video on above ppt
https://www.youtube.com/watch?v=ocTXHLWsec8&list=PLBWPV_4DjPFO6RjpbyYXSaZHiakMaeM9D&index=4
Subscribe to Vision Academy
https://www.youtube.com/channel/UCjzpit_cXjdnzER_165mIiw
1. Illustrate point and interval estimations.
2. Distinguish between point and interval estimation.
Visit the website for more services it can offer:
https://cristinamontenegro92.wixsite.com/onevs
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Chapter 6: Normal Probability Distribution
6.4: The Central Limit Theorem
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Chapter 5: Discrete Probability Distribution
5.1: Probability Distribution
Chapter 5 part2- Sampling Distributions for Counts and Proportions (Binomial ...nszakir
Mathematics, Statistics, Sampling Distributions for Counts and Proportions, Binomial Distributions for Sample Counts,
Binomial Distributions in Statistical Sampling, Binomial Mean and Standard Deviation, Sample Proportions, Normal Approximation for Counts and Proportions, Binomial Formula
Chapter-4: More on Direct Proof and Proof by Contrapositivenszakir
Proofs Involving Divisibility of Integers, Proofs Involving Congruence of Integers, Proofs Involving Real Numbers, Proofs Involving sets, Fundamental Properties of Set Operations, Proofs Involving Cartesian Products of Sets
Chapter 6 part2-Introduction to Inference-Tests of Significance, Stating Hyp...nszakir
Mathematics, Statistics, Introduction to Inference, Tests of Significance, The Reasoning of Tests of Significance, Stating Hypotheses, Test Statistics, P-values, Statistical Significance, Test for a Population Mean, Two-Sided Significance Tests and Confidence Intervals
Chapter 6 part1- Introduction to Inference-Estimating with Confidence (Introd...nszakir
Introduction to Inference, Estimating with Confidence, Inference, Statistical Confidence, Confidence Intervals, Confidence Interval for a Population Mean, Choosing the Sample Size
Mathematics, Statistics, Probability, Randomness, General Probability Rules, General Addition Rules, Conditional Probability, General Multiplication Rules, Bayes’s Rule, Independence
Chapter 4 part3- Means and Variances of Random Variablesnszakir
Statistics, study of probability, The Mean of a Random Variable, The Variance of a Random Variable, Rules for Means and Variances, The Law of Large Numbers,
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Democratizing Fuzzing at Scale by Abhishek Aryaabh.arya
Presented at NUS: Fuzzing and Software Security Summer School 2024
This keynote talks about the democratization of fuzzing at scale, highlighting the collaboration between open source communities, academia, and industry to advance the field of fuzzing. It delves into the history of fuzzing, the development of scalable fuzzing platforms, and the empowerment of community-driven research. The talk will further discuss recent advancements leveraging AI/ML and offer insights into the future evolution of the fuzzing landscape.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Vaccine management system project report documentation..pdfKamal Acharya
The Division of Vaccine and Immunization is facing increasing difficulty monitoring vaccines and other commodities distribution once they have been distributed from the national stores. With the introduction of new vaccines, more challenges have been anticipated with this additions posing serious threat to the already over strained vaccine supply chain system in Kenya.
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
TECHNICAL TRAINING MANUAL GENERAL FAMILIARIZATION COURSEDuvanRamosGarzon1
AIRCRAFT GENERAL
The Single Aisle is the most advanced family aircraft in service today, with fly-by-wire flight controls.
The A318, A319, A320 and A321 are twin-engine subsonic medium range aircraft.
The family offers a choice of engines
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Technical Specifications
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
Key Features
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
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Explore the innovative world of trenchless pipe repair with our comprehensive guide, "The Benefits and Techniques of Trenchless Pipe Repair." This document delves into the modern methods of repairing underground pipes without the need for extensive excavation, highlighting the numerous advantages and the latest techniques used in the industry.
Learn about the cost savings, reduced environmental impact, and minimal disruption associated with trenchless technology. Discover detailed explanations of popular techniques such as pipe bursting, cured-in-place pipe (CIPP) lining, and directional drilling. Understand how these methods can be applied to various types of infrastructure, from residential plumbing to large-scale municipal systems.
Ideal for homeowners, contractors, engineers, and anyone interested in modern plumbing solutions, this guide provides valuable insights into why trenchless pipe repair is becoming the preferred choice for pipe rehabilitation. Stay informed about the latest advancements and best practices in the field.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
3. 5.1 The Sampling Distribution of a
Sample Mean3
Population Distribution vs. Sampling Distribution
The Mean and Standard Deviation of the Sample
Mean
Sampling Distribution of a Sample Mean
Central Limit Theorem
4. Sample Mean
4
Displays the distribution of customer
service call lengths for a bank service
center for a month.
There are more than 30,000 calls in
this population. (omitted a few outliers)
The population mean is μ = 173.95 sec.
Take a sample of 80 calls from this
Population and calculate the mean of
these 80 calls.
If we take more samples of size 80, we
will get different values of .
This is the sampling distribution of the
values of for 500 samples of size 80.
x
x
x
The sampling distribution is roughly symmetric rather than skewed.
The sample means are much less spread out than the individual call lengths.
6. Sample Mean (Cont…)
This example illustrates two important facts about sample means:
FACTS ABOUT SAMPLE MEANS
1. Sample means are less variable than individual observations.
2. Sample means are more Normal than individual observations.
6
7. 7
Mean and Standard Deviation of a
Sample Mean
Example: Take an SRS of size 36 from a population with mean 240 and
standard deviation 18. Find the mean and standard deviation of the
sampling distribution of your sample mean.
Now repeat the previous calculations for a sample size of 144. Explain
the effect of the increase on the sample mean and standard deviation.
8. 8
The Central Limit Theorem
If individual observations have the N(µ,σ) distribution, then the
sample mean of an SRS of size n has the N(µ, σ/√n) distribution
regardless of the sample size n.
:caseimportantoneisHereon.distributipopulationtheof
shapeon thedependsofondistributitheofshapeThe x
9. 9
The Central Limit Theorem (Cont…)
One of the most famous facts of probability theory: When the
sample is large enough, the distribution of sample means is very close
to Normal, no matter what shape the population distribution has, as long
as the population has a finite standard deviation.
n
σ
μ,Nx
x
nσ
μn
elyapproximatis
:Normal
elyapproximatismeansampletheofondistributisamplingthelarge,is
whenthatsaysThe.deviationstandard
finiteandmeanwithpopulationanyfromsizeofSRSanDraw
(CLT)theoremlimitcentral
10. 10
The Central Limit Theorem (Cont…)
Example:
Take an SRS of size 144 from a population with mean 240 and
standard deviation 18.
a) According to the central limit theorem, what is the approximate
sampling distribution of the sample mean?
b) Use the 95 part of the 68–95–99.7 rule to describe the
variability of this sample mean.
c) Suppose we increase the sample size to 1296. Use the 95 part
of the 68–95–99.7 rule to describe the variability of this sample
mean. Compare your results with those you found before.
11. 11
Example: Based on service records from the past year, the time
(in hours) that a technician requires to complete
preventative maintenance on an air conditioner follows
the distribution that is strongly right-skewed, and whose
most likely outcomes are close to 0. The mean time is µ
= 1 hour and the standard deviation is σ = 1.
Your company will service an SRS of 70 air conditioners. You have
budgeted 1.1 hours per unit. Will this be enough?
1==
μ
μ
x
The sampling distribution of the mean time
spent working is approximately N(1, 0.12) :
2033.07967.01
)83.0()1.1(
=−=
>=> zPxP If you budget 1.1 hours per unit, there is a
20% chance the technicians will not complete
the work within the budgeted time.
12. 12
A Few More Facts
Any linear combination of independent Normal random variables is also
Normally distributed. i.e. if X and Y are independent Normal random
variables, and a and b are any fixed numbers, then aX + bY is also
Normally distributed.
In particular, the sum or difference of independent Normal random
variables has a Normal distribution.
The mean and standard deviation of aX + bY are found as usual from the
addition rules for means and variances.
Example: Tom and George are playing in the club golf tournament. Their
scores vary as they play the course repeatedly. Tom’s score X has the N(110,
10) distribution, and George’s score Y varies from round to round according
to the N(100, 8) distribution.
If they play independently, what is the probability that Tom will score lower
than George .?