Asked by April Capozzi on Jul 04, 2024
Verified
A researcher hypothesizes that freshmen spend more time studying than sophomores, who spend more time studying than juniors, who spend more time studying than seniors. In conducting a one-way ANOVA with this data, how could the null hypothesis (H0) be stated?
A) H0: Freshman > Sophomore > Junior > Senior
B) H0: μFreshman = μSophomore = μJunior = μSenior
C) H0: all μs are not equal
D) H0: μFreshman ≠ μSophomore ≠ μJunior ≠ μSenior
Null Hypothesis
A statistical assumption positing that there is no meaningful difference or association between specified attributes or variables.
One-way ANOVA
A statistical test that compares the means of three or more independent groups using variance analysis to determine if at least one group mean is significantly different from the others.
Freshman
Typically refers to a student in their first year of study in high school or college.
- Differentiate the characteristics of null and alternative hypotheses.
Verified Answer
ZK
Zybrea KnightJul 05, 2024
Final Answer :
B
Explanation :
The null hypothesis should state that there is no significant difference between the mean study times of the four groups (freshmen, sophomores, juniors, and seniors). Therefore, option B is the best choice as it directly states that the means of all four groups are equal.
Learning Objectives
- Differentiate the characteristics of null and alternative hypotheses.