Question

Dr. A.S. Heagle at North Carolina State University studied the effects of ozone pollution on soybean yield. Four dose levels of ozone and the resulting mean seed yield of were measured. The dose of ozone is the average concentration (parts per million, ppm) during the growing season. Yield is reported in grams per plants. He is interested in whether or not ozone effects soybean yield. This generated the following results: yield = 2053.434 – 293.531ozone (1314) (107.81) The standard errors are reported in parentheses underneath the coefficient estimates. Suppose we want to test the hypothesis H: Bozone = 0 H: Bozone 70 where Bozone is the coefficient on the ozone variable. What is the t-value associated with this test? Round your answer to two decimal places.

Answer 1

The formulae for A-value is, ☆ B-B where, a B = Estimated value of ß coefficient to be tested. = True value to be values of coefficient 8. Standard error of Coefficient to be tested. z number of observations: Ginen, A Pozone 293.531 Pozone s -107.81 n = 4 che Putting the given values in required formulee get, ts Begene Bozone Strn 4 - 233: 31-0. -107-81750 t = 293-537 TOFOST 2 ta 293.537 53.905 - t = 5.45 so correct answer is ta = 5:45