Question

grace conducted a study to show how many hours her dog sleeps after having one or two hours of exercise. she set up a two - way table in four different ways. which table will best represent grace’s data?

	> 6 hours of sleep	1 hour of exercise	total
2 hours of exercise
total

	2 hours of exercise	< 6 hours of sleep	total
> 6 hours of sleep
total

	1 hours of exercise	< 6 hours of sleep	total
> 6 hours of sleep
total

	> 6 hours of sleep	< 6 hours of sleep	total
2 hours of exercise

Explanation:

Step1: Identify Variables

Grace's study has two variables: exercise duration (1 hour, 2 hours) and sleep duration (>6 hours, <6 hours). A two - way table should have one variable as rows and the other as columns, with a total row and column.

Step2: Analyze Each Table

• First table: Columns include "1 Hour of Exercise" (a row variable) and " > 6 Hours of Sleep" (a column variable), mixing row and column categories.
• Second table: Columns include "2 Hours of Exercise" (row variable) and "<6 Hours of Sleep" (column variable), mixing categories.
• Third table: Columns include "1 Hours of Exercise" (row variable) and "<6 Hours of Sleep" (column variable), mixing categories.
• Fourth table: Rows are exercise durations (1 Hour of Exercise, 2 Hours of Exercise), columns are sleep durations (>6 Hours of Sleep, <6 Hours of Sleep), with a total row and column. This correctly organizes the two variables (exercise duration as rows, sleep duration as columns).

Answer:

The fourth table (the one with rows "1 Hour of Exercise", "2 Hours of Exercise" and columns ">6 Hours of Sleep", "<6 Hours of Sleep", "Total")