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You are a researcher who wants to know if there is a relationship between variable Y...

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Basic Math

You are a researcher who wants to know if there is arelationship between variable Y and variable X. You hypothesizethat there will be a strong positive relationship between variableY GPA and Variable X hours of sleep. After one semester, you selectfive students at random out of 200 students who have taken a surveyand found that they do not get more than 5 hours of sleep pernight. You select five more students at random from the same surveythat indicates students getting at least seven hours of sleep pernight. You want to see if there is a relationship between GPA andhours of sleep. Using a Pearson Product Correlation Coefficientstatistic, determine the strength and direction of the relationshipand determine if you can reject or fail to reject the HO:

Variable Y        VariableX    

2.5                     5               

3.4                     8               

2.0                     4               

2.3                    4.5              

1.6                    3     

3.2                    6

2.8                    7

3.5                    7.5

4.0                    6.5

3.8                    7

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