MATH 110 Statistics Module 10 Exam | Latest
2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 10 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering analysis of variance (ANOVA), multiple comparisons,
and assumptions of normality. Graded A+ and aligned with Portage Learning’s online
curriculum, this guide offers essential support for success in introductory statistical
coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-based questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes brief explanations for key terms and concepts
Question 1
Question: What is the purpose of ANOVA?
A) Test means of two groups
B) Compare means of three or more groups
C) Calculate correlation
D) Estimate regression
B) Compare means of three or more groups
Explanation: ANOVA tests for differences across multiple groups.
Question 2
Question: What does the F-statistic measure in ANOVA?
A) Variance between groups relative to within groups
B) Mean difference
C) Correlation coefficient
D) Sample size
A) Variance between groups relative to within groups
Explanation: F = MSB / MSW.
Question 3
Question: What is the null hypothesis in a one-way ANOVA?
A) All group means are equal
B) All group means are different
C) At least one mean is zero
D) Variance is equal
, A) All group means are equal
Explanation: H₀ assumes no difference.
Question 4
Question: If the p-value is 0.04 and α = 0.05, what is the decision?
A) Fail to reject H₀
B) Reject H₀
C) Accept H₀
D) No decision
B) Reject H₀
Explanation: p < α, so reject.
Question 5
Question: What is the degrees of freedom between groups for 4 groups and 20 total
observations?
A) 3
B) 4
C) 16
D) 19
A) 3
Explanation: DF between = k - 1 = 4 - 1 = 3.
Question 6
Question: What is the degrees of freedom within groups for 4 groups and 20 total
observations?
A) 3
B) 4
C) 16
D) 19
C) 16
Explanation: DF within = N - k = 20 - 4 = 16.
Question 7
Question: If the F-statistic is 4.5 and critical value is 3.24, what is the decision at α = 0.05?
A) Fail to reject H₀
B) Reject H₀
C) Accept H₀
D) Retry
B) Reject H₀
Explanation: Statistic > critical value.
Question 8
Question: What assumption is required for ANOVA regarding variances?
A) Variances must be unequal
2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 10 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering analysis of variance (ANOVA), multiple comparisons,
and assumptions of normality. Graded A+ and aligned with Portage Learning’s online
curriculum, this guide offers essential support for success in introductory statistical
coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-based questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes brief explanations for key terms and concepts
Question 1
Question: What is the purpose of ANOVA?
A) Test means of two groups
B) Compare means of three or more groups
C) Calculate correlation
D) Estimate regression
B) Compare means of three or more groups
Explanation: ANOVA tests for differences across multiple groups.
Question 2
Question: What does the F-statistic measure in ANOVA?
A) Variance between groups relative to within groups
B) Mean difference
C) Correlation coefficient
D) Sample size
A) Variance between groups relative to within groups
Explanation: F = MSB / MSW.
Question 3
Question: What is the null hypothesis in a one-way ANOVA?
A) All group means are equal
B) All group means are different
C) At least one mean is zero
D) Variance is equal
, A) All group means are equal
Explanation: H₀ assumes no difference.
Question 4
Question: If the p-value is 0.04 and α = 0.05, what is the decision?
A) Fail to reject H₀
B) Reject H₀
C) Accept H₀
D) No decision
B) Reject H₀
Explanation: p < α, so reject.
Question 5
Question: What is the degrees of freedom between groups for 4 groups and 20 total
observations?
A) 3
B) 4
C) 16
D) 19
A) 3
Explanation: DF between = k - 1 = 4 - 1 = 3.
Question 6
Question: What is the degrees of freedom within groups for 4 groups and 20 total
observations?
A) 3
B) 4
C) 16
D) 19
C) 16
Explanation: DF within = N - k = 20 - 4 = 16.
Question 7
Question: If the F-statistic is 4.5 and critical value is 3.24, what is the decision at α = 0.05?
A) Fail to reject H₀
B) Reject H₀
C) Accept H₀
D) Retry
B) Reject H₀
Explanation: Statistic > critical value.
Question 8
Question: What assumption is required for ANOVA regarding variances?
A) Variances must be unequal
