question archive 1) A health researcher conducted a study to see if there is a relationship between the number of hours exercised each week and the number of days reporting sick per year

1) A health researcher conducted a study to see if there is a relationship between the number of hours exercised each week and the number of days reporting sick per year

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1) A health researcher conducted a study to see if there is a relationship between the number of hours exercised each week and the number of days reporting sick per year. The results for five individuals studied are as follows: Weekly Exercise Hours (X) Sick Days per Year (Y) 4 6 4 7 0 10 8 5 6 4 ΣX= 22 ΣX2= 132 ΣY= 32 ΣY2= 226 ΣXY= 116 
 

Conduct a hypothesis test using the following steps. Set alpha = .01, two-tailed 1A. Step 1: State the null and alternative hypotheses in symbols. (1 point) 
 

1B. Step 2: Set up the criteria for making the decision. That is, find the critical value. (1 point)
 

1C. Step 3: Summarize the data into the appropriate test-statistic. (3 points) 
 

1D. Step 4: Evaluate the null hypothesis (circle one) REJECT FAIL TO REJECT (1 point) 
 

1E. Step 5: State your conclusion in words. (1 point) 1F. What proportion of variability of number of days sick can be explained by the variability in the amount of hours exercised per week? (1 point) 1. 

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