4 A new Study provides some evidence that playing action vid

4. A new Study provides some evidence that playing action video games strengths a person’s ability to translate sensory information into accurate decisions. Researchers had 23 male volunteers with an average age of 20 look at moving arrays on computer screens and indicate the direction in which the dots were moving. Half of the volunteers (11 men) reported playing action video game at least five times a week 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 mean response time for game players minus the mean response time for non-players is -1.8 to -1.2 seconds, while 95% confidence interval for mean accuracy score for game players minus mean accuracy score for non-players is - 4.2 to +5.8. a. Interpret the meaning of the 95% confidence interval for difference in mean response time. b. Is it likely that game players and non-game players are basically the same in response time? Why or why not? If not which group is faster (with smaller response time)? c. Interpret the meaning of the 95% confidence interval for difference in mean accuracy score. d. Is it likely that game players and non-game players are basically the same in accuracy? Why or why not? If not, which group is more accurate?

Solution

a. Interpret the meaning of the 95% confidence interval for difference in mean response time.

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 s. In that case, there is significant evidence that the response time of game players is lower than the response time of non-players at 0.05 level.

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b. Is it likely that game players and non-game players are basically the same in response time?

NO.

Why or why not?

Because the whole interval is entirely less than 0.

If not which group is faster (with smaller response time)?

The game players have a smaller response time.

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c. Interpret the meaning of the 95% confidence interval for difference in mean accuracy score.

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 s. In that case, there is no significant evidence that the accuracy score of game players is lower than the accuracy score of non-players at 0.05 level.

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d. Is it likely that game players and non-game players are basically the same in accuracy?

YES.

Why or why not?

Because the interval includes 0, which means that the difference in accuracy scores could also be 0.

If not, which group is more accurate?

We cannot tell which group is more accurate, as the interval includes 0.