Question 7.170

44. LeBron James. Refer to Exercise 40.

  1. Find the 2.5th and 97.5th percentiles of the sample proportions.
  2. Draw a graph showing the sampling distribution of , centered at , with the 2.5th and 97.5th percentiles, and the area of 0.95 under the curve between them shaded.
  3. In the May 20, 2014 playoff game against the Indiana Pacers, LeBron James had only a 50% success rate from the free-throw line. Would that be considered “poor shooting” by his standards? Explain your reasoning. (Hint: Use the Z-score method.)
  4. Later in the same series, in the May 30, 2014 playoff game against the Indiana Pacers, LeBron James had a perfect 100% success rate from the free-throw line. Would that be considered “hot shooting” by his standards? Explain your reasoning.