Lecture 9 - Class Exercise | York University - Edubirdie

University:
York University
Course:
MATH 1131 | Introduction to Statistics I
Academic year:

2022
Views:

131

Pages:

2
Author:

Niklas

LECTURE 9 Exercise A B C 0 2 6 1 3 5 2 1 0 x̄_A = ? σ²_A = ? π_A = ? x̄_B = ? σ²_B = ? π_B = ? x̄_C = ? σ²_C = ? π_C = ? V_A = ? V_B = ? A: x f x_i - x̄ (x_i - x̄)² f(x_i - x̄)² 0 2 -0.33 0.11 0.22 1 1 0.67 0.45 0.45 2 0 media = (0*2 + 1*1 + 2*0) / 3 = 0.33 σ²_A = 0.67 / 3 = 0.22 B: x_i x_i - x̄ (x_i - x̄)² 0 -1.67 2.79 1 -0.33 0.11 2 1.33 1.77 3 2.33 5.43 media = 4.67 / 3 = 1.67 σ²_B = 10.1 / 3 = 3.36 C: x_i x_i - x̄ (x_i - x̄)² 6 3 9 5 2 4 1 -2 4 0 -3 9 median = 6+5+1 / 3 = 4 σ² = 26 / 4 = 6.5 Tot x_i f_i x_i - x̄ (x_i - x̄)² f_i(x_i - x̄)² 0 4 -1.8 3.24 12.96 1 2 -0.8 0.64 1.28 2 1 0.2 0.04 0.04 3 1 1.2 1.44 1.44 5 1 3.2 10.24 10.24 6 1 4.2 17.64 17.64 media = (0*4 + 1*2 + 2*1 + 3*1 + 5*1 + 6*1) / 10 = 1.8 σ²_m = 43.6 / 10 = 4.36 V_B = (3/10)*(0.33-1.8)^2 + (3/10)*(1.56-1.8)^2 + (4/10)*(3-1.8)^2 = 0.655 + 0.013 + 0.57 = 1.2 V_w = 0.22 + 1.56 + 6.5 = 2.066 + 0.468 + 2.6 = 3.13 η² = 1.2 / (1.2 + 3.13) ≈ 0.3

Related Documents

Lecture 9 - Class Exercise

Lecture 9 - Class Exercise - Page 1

Lecture 9 - Class Exercise - Page 2

of 2

New Documents from this Course

Lecture 10 - Asymmetry Index of A.L. Bowley

Lecture 10 - Asymmetry Index of A.L. Bowley

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 6 - Arithmetic Mean

Lecture 6 - Arithmetic Mean

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 26 - Population Parameter Sample & Estimate

Lecture 26 - Population Parameter Sample & Estimate

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 13 - Frequentist Interpretation

Lecture 13 - Frequentist Interpretation

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 2 - Types of Representation of Data

Lecture 2 - Types of Representation of Data

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 29 - Two Population Example

Lecture 29 - Two Population Example

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 4 - Nominal Variables

Lecture 4 - Nominal Variables

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 16 - Twins Example

Lecture 16 - Twins Example

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 19 - Cumulative Distribution Functions

Lecture 19 - Cumulative Distribution Functions

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 23 - Expected Value & Variance of Countinous Random Variable

Lecture 23 - Expected Value & Variance of Countinous Random Variable

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 27 - Cl For The Mean (data) Notes

Lecture 27 - Cl For The Mean (data) Notes

York University MATH 1131 | Introduction to Statistics I

Lecture Note

Lecture 1 - Introduction to Statistics

Lecture 1 - Introduction to Statistics

York University MATH 1131 | Introduction to Statistics I

Lecture Note