Question

In: Statistics and Probability

Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast,...

Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship 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. Bardi selected a random sample of 20 shipments made last month. Shipping distance is the independent variable and shipping time is the dependent variable. The results are as follows:

Shipment Distance (miles) Shipping Time (days) Shipment Distance (miles) Shipping Time (days)
1 678 3 11 814 11
2 758 14 12 782 5
3 733 14 13 753 7
4 802 15 14 831 3
5 832 15 15 723 6
6 684 6 16 746 7
7 683 9 17 632 5
8 768 4 18 740 13
9 776 10 19 778 6
10 840 13 20 822 7
  1. b-1. Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.)

x⎯⎯x¯
y⎯⎯y¯
Sx
Sy
r
  1. b-2. State the decision rule for 0.10 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.)

  1. b-3. Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

  1. b-4. Can we conclude that there is a positive correlation between distance and time? Use the 0.10 significance level.

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