Chapter 5.3, Problem 5.30ACI

Video game players and divided attention tasks. Human Factors (May 2014) published the results of a study designed to determine whether video game players are better than non-video game players at crossing the street when presented with distractions. Participants (college students) entered a street-crossing simulator. The simulator was designed to have cars traveling at various high rates of speed in both directions. During the crossing, the students also performed a memory task as a distraction. The researchers found that students who are video game players took an average of 5.1 seconds to cross the street, with a standard deviation of .8 second. Assume that the time, x, to cross the street for the population of video game players has µ = 5.1 and σ = .8. Now consider a sample of 30 students and let $\bar{x}$ represent the sample mean time (in seconds) to cross the street in the simulator.

1. a. Find $P\left(\bar{x}\succ 5.5\right)$..
2. b. The 30 students in the sample are all non-video game players. What inference can you make about µ and/or σ for the population of non- video game players? Explain.