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Dr. Penn is investigating the difference in depression scores between introverts and extraverts. The sample size...

Dr. Penn is investigating the difference in depression scores between introverts and extraverts. The sample size for introverts was n=15, and the sample size for extraverts was n=20. If the researcher found that the t value for this analysis was equal to t=2.00, what conclusion should you make for an alpha of 0.05, two tails?

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Answer #1

We are given the value of

We are also given

Hence the degrees of freedom are

The level of significance alpha is equal to 0.05.

At 5% level of significance and 33 d.o.f, the critical t-Value (two-tailed): +/- 2.034515

Since

we fail to reject the null hypothesis and conclude that the depression scores between introverts and extraverts is the same at a 5% level of significance.

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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