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Chapter 10: Introduction to Estimation

7 Topics | 1 Quiz

Introduction to Estimation

Point Estimators

Confidence Interval Estimate of the Mean (Q1)

Interpreting Confidence Intervals (Q2a–b)

Confidence Interval Width vs. Confidence Level (Q2c–d)

Confidence Interval Width vs. Sample Size, Standard Deviation, and Mean (Q2e–i)

Sample Size Determination (Q3)

Chapter 10 Quiz

Chapter 11: Introduction to Hypothesis Testing

6 Topics | 1 Quiz

Steps of a Hypothesis Test

When to use the z-test of One Population Mean

The p-Value

Calculating the Probability of Type II Error

Probability of Type II Error – Just the basic steps

Probability of Type II Error – Two Tailed Example

Chapter 11 Quiz

2022 Summer Final

9 Topics

2022 Summer Final Exam PDF

Q1a) z-Test of a Single Population Mean

Q1b) t-Estimate of the Difference in Two Population Means

Q2a) Regression Model

Q2b) F-Test of Validity

Q2c) t-Test of the Coefficients

Q3a) Using a Confidence Interval to Test a Hypotheis

Q3b) F test of the Ratio of Two Variances

Q3c) One Way ANOVA F Statistic

CHAPTER LESSONS - PREMIUM

Chapter 12: Inference About a Population

6 Topics | 1 Quiz

Introduction

t-Test and Estimation of One Population Mean

χ²-Test and Estimation of One Population Variance

z-Test of One Population Proportion

Finding and Using the p-Value

z-Estimate of One Population Proportion

Chapter 12 Quiz

Chapter 13: Inference about Comparing Two Populations

7 Topics | 1 Quiz

Introduction

F-test & Estimate

Equal Variances t-Test

Unequal Variances t-Test

Matched Pairs t-Test & Estimate

z-Test of Proportions (CASE 1)

z-Test of Proportions (CASE 2)

Ch. 13 QUIZ

Chapter 14: Analysis of Variance

3 Topics | 1 Quiz

ANOVA (Raw Data)

ANOVA (Summary Data)

Partially Completed Outputs

Chapter 14 Quiz

Chapter 15: Chi-Squared Tests

3 Topics | 1 Quiz

Goodness of Fit (equal proportions)

Goodness of Fit (given a distribution)

Contingency Table Test

Chapter 15 Quiz

Chapter 16: Simple Linear Regression and Correlation

10 Topics | 1 Quiz

Introduction to Simple Linear Regression

Sums and Statistics

Alternate Formulas

The Least Squares Regression Line

Interpreting the Coefficients

Standard Error of the Estimate

Test of the Slope

The Coefficient of Determination

Coefficient of Correlation vs. Coefficient of Determination

Prediction and Confidence Intervals

Chapter 16 Quiz

Chapter 17: Multiple Regression:

11 Topics | 1 Quiz

PAST EXAMS - PREMIUM

8 Topics

2021 Winter Final Exam PDF

Question 1 Solutions

Question 2a Solutions

Question 2b Solutions

Question 2c Solutions

Question 3.1 & 3.2 Solutions

Question 3.3 Solutions

Question 3.4 Solutions

2021 Summer Final

10 Topics

Q1a) Chi-Squared Test of a Contingency Table

Q1b) z Estimate of Proportion

Q1c) z-Test of a Proportion vs Chi-Squared Goodness of Fit Test

Q2a) F-Test of the Ratio of Two Variances

Q2b) Chi-Squared Estimate of Variance

Q3a) Regression Model

Q3) Filling in the Blanks

Q3b) Test of the Validity of the Model

Q3c) Test of a Slope Coefficient

Q3d) Estimate of Y

2020 Fall Final

10 Topics

2020 Fall Final Exam PDF

Q1a) t-Test of Difference in Means

Q1b) z Estimate of a Proportion

Q1c) z Test of a Proportion (p-value)

Q2) Chi-Squared Test of a Contingency Table

Q3) Fill in the Blanks

Q3a) Regression Equation (Not the Model)

Q3b) Test of the Validity of the Model

Q3c) Changing Units in a Regression Equation

Q3d) P-value

Older Past Final Exams

4 Topics

CHEAT SHEET - PREMIUM

Reference Sheet PDF – Final Exam

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Q2b) F-Test of Validity

ADMS 2320: FINAL EXAM PREP · Fall 2024 2022 Summer Final Q2b) F-Test of Validity

SOLUTION

Given

Degrees of Freedom (Regression): $df_{1} = 3$

Degrees of Freedom (Residual): $df_{2} = 105$

F-Statistic: $F = 5.3362$

Hypotheses

$H_{0}$ : $\beta_1 = \beta_2 = \beta_3 = 0$

(The regression model does not explain a significant portion of the variance in the dependent variable.)

$H_{1}$ : $\beta_i \neq 0$ for at least one i

(The regression model explains a significant portion of the variance in the dependent variable.)

Rejection Region

Critical Value

The critical value for an F-test at 97.5% confidence level with $df_{1} = 3$ and $df_{2} = 105$ is 3.25.

Decision Rule

Reject the $H_{0}$ if $F > 3.25$

Test Statistic

This is given in the summary output as $F = 5.3362$

Conclusion

Since the calculated F-value $F = 5.3362$ is greater than the critical value (3.25), we reject the null hypothesis.

This suggests that the regression model is valid (has explanatory power), and at least one of the coefficients is significantly different from zero.

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ADMS 2320: FINAL EXAM PREP · Fall 2024

Q2b) F-Test of Validity

SOLUTION

Given

Hypotheses

Rejection Region

Critical Value

Decision Rule

Test Statistic

Conclusion

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