A data analyst wants to set up a hypothesis test to determine if the mean number of courses taken in a college semester is different for freshmen, versus sophomores, versus juniors, versus seniors. Label these four groups of students as years 1, 2, 3, and 4. What would be the correct setup for the null and alternative hypotheses for this test?

Question

Randy Beasley

Mathematics

23 December, 13:05

A data analyst wants to set up a hypothesis test to determine if the mean number of courses taken in a college semester is different for freshmen, versus sophomores, versus juniors, versus seniors. Label these four groups of students as years 1, 2, 3, and 4. What would be the correct setup for the null and alternative hypotheses for this test?

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Caitlin Bean · Answer 1

Step-by-step explanation:

Hello!

What you want to test is if there is a difference between the number of courses taken by students of different years, you can determine 4 populations of students:

Population 1: Freshmen

Population 2: Sophomores

Population 3: Juniors

Population 4: Seniors

To each population you measured the study variable, setting 4 different variables. To compare these variables the best way is to make one test where you compare the four populations at the same time, so the hypothesis is:

H₀: μ₁ = μ₂ = μ₃ = μ₄

H₁: At least one of the population means is different from the others.

The most appropriate test to use to compare the population mean of the 4 groups is an ANOVA.

I hope you have a SUPER day!