The petal width (mm) of one kind of iris has a normal distribution. Suppose that, from a random sample of widths, the t based 90% confidence interval for the population mean width is (16.8, 19.6) mm. Answer each question "yes," "no," or "can't tell," and justify your answer. On the basis of the same sample:
(a) Would H0: μ = 20 be rejected in favor of H1: μ ≠ 20 at α = .10?
(b) Would H0: μ = 18 be rejected in favor of H1: μ ≠ 18 at α = .10?
(c) Would H0: μ = 17 be rejected in favor of H1: μ ≠ 17 at α = .05?
(d) Would H0: μ = 22 be rejected in favor of H1: μ ≠ 22 at α = .01?