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Which of the following is an example of a one-way ANOVA test?a.)Comparing the number of hours of sleep between children and teenagers.b.)Comparing the monthly incomes of residents who live in urban and suburban areas.c.)Studying the number of hours of sleep for teenagers, adults, and senior citizens.d.)Studying the number of hours slept as well as the average GPAs for middle school, high school, and college students.

Question

Which of the following is an example of a one-way ANOVA test?a.)Comparing the number of hours of sleep between children and teenagers.b.)Comparing the monthly incomes of residents who live in urban and suburban areas.c.)Studying the number of hours of sleep for teenagers, adults, and senior citizens.d.)Studying the number of hours slept as well as the average GPAs for middle school, high school, and college students.

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Solution

The correct answer is c.) Studying the number of hours of sleep for teenagers, adults, and senior citizens.

A one-way ANOVA (Analysis of Variance) test is a statistical method used to compare the means of three or more independent groups to see if there is a significant difference between them. In this case, the independent groups are teenagers, adults, and senior citizens, and the dependent variable is the number of hours of sleep.

Here's a step-by-step breakdown:

  1. Identify the groups: In this case, the groups are teenagers, adults, and senior citizens. These are independent of each other.

  2. Identify the dependent variable: Here, it's the number of hours of sleep. This is what we're comparing across the groups.

  3. Conduct the one-way ANOVA test: This will tell us if there's a significant difference in the number of hours of sleep between the three groups.

The other options involve either two groups (which would require a t-test, not ANOVA) or more than one dependent variable (which would require a MANOVA, not a one-way ANOVA).

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