Questions 36of 20 Bardl Trucking Co located In Cleveland Ohl

Questions 3-6(of 20) Bardl Trucking Co., located In Cleveland, Ohlo, makes deliverles In the Great Lakes reglon, the Southeast, and the Northeast. JIm Bardl, the president, is studying the relationshlp between the distance a shipment must travel and the length of time, In days, It takes the shipment to arrive at its destination. To Investigate, Mr Bardl selected a random sample of 20 shlpments made last month. Shipping distance is the Independent varlable and shlpping time is the dependent variable. The results are as follows Shipping Time (days) Shipment Distance (mles) Shlpping Time (days) Shipment Distance (miles) 669 630 812 12 4 15 4 14 676 742 616 823 835 669 663 698 12 4 14 15 16 17 18 19 20 603 661 860 790 809 628 6 12 15 10 6 Click here for the Excel Data File alue 10.00 points State the decision rule for 0.10 significance level. Ho: places.) 0, H1: > 0. (Round your answer to 3 decimal Reject Ho if t>

Solution

3.

As alpha =    0.1

and it is right tailed,
          
df = n - 2 = 20- 2 =   18          
              
Then              
              
tcrit =    1.330390944   [ANSWER]      

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4.

Using technology, we get the correlation,              
              
r =    0.310055674          
              
              
As t = r sqrt [(n - 2) / (1 - r^2)], then              
              
t =    1.383642956 = 1.384 [ANSWER]

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5.
          
As

r =    0.310055674  
      
Thus, the coefficient of determination is      
      
r^2 =    0.096134521 = 9.6% [ANSWER]