Two sample each with n = 9 scores, produce an independent-measures t statistic o

Question

Two sample each with n = 9 scores, produce an independent-measures t statistic of t = 2.00. If the effect size is measured using r^2, what is the value of r^2? r^2 = 4/20 r^2 = 2/20 r^2 = 4/40 r^2 = 2/19 I collected two samples (n = 34 each), and gave one group the drug "Pezzolithium" and the other a sugar pill. I then measured how happy everyone was. The folks taking Pezzolithium were about 4 points happier on a 20 point scale. My calculated t statistic = 1.43. The critical t value for an alpha level of 05 was 1.67. What can I conclude about Pezzolithiun from my study? Explain. What is the t-value? Was the t-value smaller or larger than the t-critical value? Did you retain (fail to reject) the null hypothesis? Did Pezzolithium have a significant effect on happiness? t-value is 1.43 larger than t-critical value retain (fail to reject) the null hypothesis no effect on happiness t-values is 1.43 smaller than t-critical value retain (fail to reject) the null hypothesis no effect on happiness t-value is 1.43 smaller than t-critical value reject the null hypothesis no effect on happiness t- value is 1.43 smaller than t-critical value retain (fail to reject) the null hypothesis significant effect on happiness

Explanation / Answer

Answer to question# 19)

The formula of effect size r2 is as follows:

r2 = t2 / (t2 + df)

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In the question it is given:

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On plugging these values in the formula we get:

r2 = 2^2 / (2^2 +16)

r^2 = 4 /20

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Thus the correct answer choice is a) 4/20

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