With reference to exercise 77 test the null hypothesis

Question

With reference to Exercise 77, test the null hypothesis β₂ = 10.0 against the alternative hypothesis β₂  10.0 at the 0.05 level of significance.

Exercise 77

The following are sample data provided by a moving company on the weights of six shipments, the distances they were moved, and the damage that was incurred:

(a) Assuming that the regression is linear, estimate β₀, β₁, and β₂.

(b) Use the results of part (a) to estimate the damage when a shipment weighing 2,400 pounds is moved 1,200 miles.