ECON 222 • Tüm Sınavlar • Introduction to Probability and Statistics II
İhsan Doğramacı Bilkent Üniversitesi ECON 222 (Introduction to Probability and Statistics II) Midterm I sınavına hazırlık paketi.
İşlenen konular: Reading Tables, Sampling Distributions: Part 1, Sampling Distributions: Part 2, Point Estimation, Maximum Likelihood and Method of Moment Estimators, Confidence Interval - One Population.
Eğitmenler
İhsan Altundağ
Eğitmen
2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.

Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
Konular
Reading Tables
3 konu anlatımı
Z Table
T Table
Chi Square Table
Sampling Distributions: Part 1
10 konu anlatımı
Sample Mean
Sample Variance
Central Limit Theorem
Example 1
Example 2
Example 3
Example 4
Example 5
Normal Approximation to Binomial Distribution
Normal Approximation to Poisson Distribution
Sampling Distributions: Part 2
10 konu anlatımı
Z Distribution
Example 1
Chi Square Distribution
Example 2
T Distribution
Example 3
Example 4
F Distribution
Example 5
Chapter Summary
Point Estimation
13 konu anlatımı
Introduction
Unbiased Estimators 1
Unbiased Estimators 2
Asymptotically Unbiased Estimators
Efficient Estimators
Example 1
Example 2
Consistent Estimators 1
Consistent Estimators 2
Consistent Estimators 3
Sufficient Estimators 1
Sufficient Estimators 2
Chapter Summary
Maximum Likelihood and Method of Moment Estimators
3 konu anlatımı · 8 soru
Method of Moments
Example 1
Example 2
Example 3
Example 4
Method of Maximum Likelihood
Example 5
Example 6
Example 7
Example 8
Chapter Summary
Confidence Interval - One Population
13 konu anlatımı
Introduction
Table Values (F Distribution Hariç !!!)
Confidence Interval for Means(Sigma known)
Example 1
Example 2
Confidence Interval for Means (sigma unknown)
Example 1
Example 2
Confidence Interval for Proportions
Example 1
Confidence Interval For Variances
Example 1
Example 2
Sample Midterm Problems
32 soru
Z Distribution 1
Z Distribution 2
Z Distribution 3
Z Distribution 4
Z Distribution 5
Z Distribution 6
Z Distribution 7
Z Distribution 8
Z Distribution 9
Z Distribution 10
Normal Approximation to Binomial Distribution 1
Normal Approximation to Binomial Distribution 2
Normal Approximation to Binomial Distribution 3
T Distribution 1
T Distribution 2
T Distribution 3
Chi Square Distribution 1
Chi Square Distribution 2
Chi Square Distribution 3
Chi Square Distribution 4
F Distribution
C.I. of Mean (Known Variance) 1
C.I. of Mean (Known Variance) 2
C.I. of Mean (Known Variance) 3
C.I. of Mean (Unknown Variance) 1
C.I. of Mean (Unknown Variance) 2
C.I. of Mean (Unknown Variance) 3
C.I. of Proportion 1
C.I. of Proportion 2
C.I. of Variance 1
C.I. of Variance 2
C.I. of Variance 3
Fall 2023 Midterm Problems
10 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Spring 2024 Midterm Problems
4 soru
Question 1
Question 2
Question 3
Question 4
Spring 2025 Midterm Problems
8 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
ECON 221 Old Exam Questions
33 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
Question 13
Question 14
Question 15
Question 16
Question 17
Question 18
Question 19
Question 20
Question 21
Question 22
Question 23
Question 24
Question 25
Question 26
Question 27
Question 28
Question 29
Question 30
Question 31
Question 32
Question 33
Cheat Sheet
1 konu anlatımı
Cheat Sheet Summary
Cheat Sheet
Confidence Interval - Two Populations
11 konu anlatımı
Confidence Interval For Difference Between Means (sigma known)
Example 1
Example 2
Example 3
Confidence Interval For Difference Between Means (sigma unknown)
Example 1
Example 2
Confidence Interval for Difference Between Proportions
Example 1
Example 2
Chapter Summary (F Distribution Hariç)
Hypothesis Testing - One Population
12 konu anlatımı · 4 soru
Introduction
Tests for Mean
Example 1
Example 2
Example 3
Example 4
Exam like Question 1
Exam like Question 2
Tests for Proportion
Example 5
Example 6
Exam like Question 3
Tests for Variances
Example 7
Example 8
Exam like Question 4
Hypothesis Testing - Two Populations
10 konu anlatımı
Tests for Difference Between Means
Example 1
Example 2
Example 3
Example 4
Tests for Difference Between Proportions
Example 5
Example 6
Paired T Test
Example 7
Sample Midterm Problems
28 soru
C.I. of Difference of Means (Known Variances) 1
C.I. of Difference of Means (Known Variances) 2
C.I. of Difference of Means (Unknown Variances) 1
C.I. of Difference of Means (Unknown Variances) 2
C.I. of Difference of Means (Unknown Variances) 3
C.I. of Difference Between Proportions 1
C.I. of Differences Between Proportions 2
Testing for the Mean 1
Testing for the Mean 2
Testing for the Mean 3
Testing for the Mean 4
Testing for the Mean 5
Testing for the Mean 6
Testing for the Mean 7
Testing for the Mean 8
Testing for the Mean 9
Testing for the Mean 10
Testing for the Mean 11
Testing for Proportions 1
Testing for Proportions 2
Testing for Proportions 3
Testing for Variance 1
Testing for Variance 2
Testing for Difference Between Means 1 (Sigma known)
Testing for Difference Between Means 2 (Sigma known)
Testing for Difference Between Means 3 (Sigma known)
Testing for Difference Between Means 4 (Sigma known)
Testing for Difference Between Means 5 (Sigma unknown)
Confidence Interval - Two Populations (Review)
13 konu anlatımı · 3 soru
Confidence Interval For Difference Between Means (sigma known)
Example 1
Example 2
Example 3
Exam-like Question 1
Exam-like Question 2
Confidence Interval For Difference Between Means (sigma unknown)
Example 1
Example 2
Exam-like Question
Confidence Interval for Difference Between Proportions
Example 1
Example 2
Confidence Interval for Ratio of Variances
Example
Chapter Summary
Hypothesis Testing - Two Populations (Review)
10 konu anlatımı · 2 soru
Tests for Difference Between Means
Example 1
Example 2
Example 3
Example 4
Exam like Question 1
Tests for Ratio of Two Variances
Example 5
Example 6
Exam like Question 2
Tests Among k Proportions
Example 7
Simple Linear Regression Analysis Part 1
7 konu anlatımı
Regression Equations
Example 1
Example 2
Linear Regression
Example 3
Example 4
Example 5
Simple Linear Regression Analysis Part 2
7 konu anlatımı
Errors in SLR
Example 1
Some Important Formulas
Slope Paremeter
Test for Slope Parameter
Confidence Interval for Slope Parameter
Example 2
Multiple Regression Analysis
9 konu anlatımı
Introduction
Example 1
Errors in Multiple Linear Regression
Coefficients in Multiple Linear Regression
Tests for Significance of Regression
Tests for Individual Regression Coefficient
Coefficient of Determination
Example 2
Example 3
Important Notes Before Exam
1 konu anlatımı
Important Notes Before Exam
Final Questions from 2021 and 2022
16 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
Question 13
Question 14
Question 15
Question 16
Spring 2024 Final Questions
11 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Spring 2025 Final Questions
9 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Sample Final Questions
22 soru
Understanding Data 1
Sampling Distribution 1
Sampling Distribution 2
Sampling Distribution 3
Sampling Distribution 4
Sampling Distribution 5
Sampling Distribution 6
Point Estimation 1
Confidence Interval 1
Confidence Interval 2
Confidence Interval 3
Confidence Interval 4
Confidence Interval 5
Confidence Interval 6
Confidence Interval 7
Confidence Interval 8
Hypothesis Testing 1
Hypothesis Testing 2
Hypothesis Testing 3
Hypothesis Testing 4
Hypothesis Testing 5
Hypothesis Testing 6
Cheat Sheet and Summary
1 konu anlatımı
Cheat Sheet
Summary