Question

Wade Watts proposed that experience playing video games could improve a person’s spatial skills in the OASIS. When working with his team of 16 Gunters, he measured each participant’s spatial skills. Participants then played video games for two hours and their spatial skills were measured again at the end of the session. Given Wade’s desire to leave the stacks, he wants to test that video games improve a person’s spatial skills. He found that before video games Gunters’ averaged a score of 5.33 with a standard deviation of 1.86 on spatial skills test. After video games Gunters’ averaged a score of 7.00 with a standard deviation of 2.10 on the same test. Given after scores minus before scores, this produced a mean difference score of 1.67 standard deviation of the difference of 2.50. Would two hours of training a day accomplish his goal of improving spatial skills?

Answer 1

hypothesis:-

where,

given data are:-

test statistic be:-

df = (n-1) = (16-1) = 15

p value be:-

[ in any blank cell of excel type =T.DIST.RT(2.672,15) press enter]

decision:-

p value = 0.0087 <0.05 (alpha)

so, we reject the null hypothesis.

conclusion:-

there is sufficient evidence to support that two hours of training a day accomplish his goal of improving spatial skills at 0.05 level of significance.

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