7.101 What is wrong? In each of the following situations, identify what is wrong, and then either explain why it is wrong or change the wording of the statement to make it true.
(a) To reduce the margin of error in half, the sample size needs to be doubled.
(b) The sign test for matched pairs is more powerful than the paired t test when the differences are close to Normal.
(c) When testing H0: μ = 10 versus the two-sided alternative, the power at μ = 3 is larger than at μ = 17.
(d) Increasing sample size increases the power for all alternatives and decreases the probability of a Type I error.