Question

8. A two-tailed hypothesis test for a repeated-measures design Previous studies have shawn that playing video games can increase visual perception abilities on tasks presented in the gaming zone of the screen within 5 degrees of the center). Agraduate student is interested in whether playing video games increases peripheral val perception abilities or decreases attention to peripheral regions because of focus on the gaming zone. For his study, he se ects ล random sample of 81 adults. The subjects complete difficult spatal percepion task to determine baseline levels of their abilities. After playing an action video game (a first-person combat simulatian) for 1 hour a day over 10 days, they complete the difficult percepion task for a second time. Before playing the action video game, the mean score in their accuracy on the spatal task was 0.31. After playing the action video game, the mean score was 0.35. The mean of the differences bebween each person's pre-and post- scores was 0.04, with a standard deviation of the differences equal to 0.08. The graduate student has no presupposed assumptions about whether playing video games increases peripheral visual percepion abilities or decreases attention to peripheral regions because of focus on the gaming zone, so he forrmulates the null and aternative hypatheses as He uses a repeated-measures t test. Because the sa is large, if the null hypathesis is true as an equality the test statistic follows t-distribution with n-1-81-1-80 degrees of freedom. Degrees of Freedon-75 1.0 2.0 3.4 This is 05. test. Use the Disibutions toal to find the critical score(s) for the level of significance a The critical score(s)(the value(s) for tthat separate(s) the tail(s) from the man body ofthe disribution, farrning tha critical region) isare To calculate the test statistk, you first need to calcuate the estimated standard error under the assumption that the null hypathesis is true. The estimated standard errar is The test statisticist Use the toal to evaluate the null hypathesis.(Note: Yau can place the purple line on yourt statistic to tell whether it lies within or outside the critical region. I's pass ble that this line may not rest exactly on the tstatisti, but you will be able to tell whether it lies within or outside the critical region.) The tstatistic for a two-tailed hypathesis test. Therefore, the null hypathesis is condude that playing video games alters peripheral visual perception. in the critical region The graduate student The graduate student repeats his study with another random sarmple of the sarne size. This time, instead of the treatment being playing the combat simulation video game, the results are very similar. After playing a soccer video game, the mean score was still 0.04 higher, but this time the standard deviation of the difference was 0.10 (vs. the original standard deviation of 0.08). This means the treatment is playing a soccervideo game. Suppose has the more consstent treatment effect This difference in the standard deviat on also means that ล 95% confidence interval of the mean difference would be for the original study, when the treatment was playing the cornbat simulation video game, than the 95% confidence interval of the mean difference for the second study, when the treatment was Playing a soccer video game Finally, this difference in the standard deviation means that when the graduate student conducts a hypathesis test testing whether the mean difference is zero for the second study, he will be hypathesis than he was for the hypathesis test you completed previously for the onginal study likely to reject the nul

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Answer 1

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