Chapter 3, Section 2, Exercise 057bd Playing Video Games A new study provides so

Question

Chapter 3, Section 2, Exercise 057bd Playing Video Games A new study provides some evidence that playing action video games strengthens a person’s ability to translate sensory information quickly into accurate decisions. Researchers had 23 male volunteers with an average age of 20 look at moving arrays on a computer screen and indicate the direction in which the dots were moving.1 Half of the volunteers (11 men) reported playing action video games at least five times a week for the previous year, while the other 12 reported no video game playing in the previous year. The response time and the accuracy score were both measured. A 95 % confidence interval for the mean response time for game players minus the mean response time for nonplayers is negative 1.8 to negative 1.2 seconds, while a 95 % confidence interval for mean accuracy score for game players minus mean accuracy score for nonplayers is negative 4.2 to plus 5.8. 1Green, et al., ‘‘Improved Probabilistic Inference as a General Learning Mechanism with Action Video Games,” Current Biology, 2010; 20(September 14): 1. (a) Is it likely that game players and nongame players are basically the same in response time? If not, which group is faster (with a smaller response time)? Likely to be basically the same Not likely to be the same, and game players are faster Not likely to be the same, and nongame players are faster SHOW HINT (b) Is it likely that game players and nongame players are basically the same in accuracy? If not, which group is more accurate? Likely to be basically the same Not likely to be the same, and game players are more accurate Not likely to be the same, and non game players are more accurate

Explanation / Answer

Ans.

(a)We are 95% confident that the mean response time for game players minus the mean response time for non-players is between -1.8 to -1.2. In other words, mean response time for game players is less than the mean response time for non-players by between 1.8 and 1.2 seconds.

It is not likely that they are basically the same, since the option of the difference in means being zero is not in the interval. The game players are faster, and we can tell this because the confidence interval for µg µng has only negative values so the mean time is smaller for the game players.

So, we can conclude that game players group is faster than non-game players group.

(b)

We are 95% confident that the mean accuracy score for game players minus the mean accuracy score for non-players is between -4.2 to 5.8.

It is likely that they are basically the same, since the option of the difference in means being zero is in the interval. There is little difference in accuracy between game players and non-game players.

So, we conclude that there is not much difference between their accuracy . So, the groups have almost same accuracy .

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