Question 7.95

7.95 Design of controls.

Apply the sign test to the data in Exercise 7.36 (page 378) to assess whether the subjects can complete a task with a right-hand thread significantly faster than with a left-hand thread.

cntrols

  1. State the hypotheses two ways, in terms of a population median and in terms of the probability of completing the task faster with a right-hand thread.
  2. Carry out the sign test. Find the approximate -value using the Normal approximation to the binomial distributions, and report your conclusion.

7.95

(a) or . (b) . There is evidence that the median is greater than zero.