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

Question

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

Quizplus · Accepted Answer

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.

A Researcher Hypothesizes That Freshmen Spend More Time Studying Than