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StatisticsQ&A LibraryThe stimulant Ritalin has been shown to increase attention span and improve academic performance in children with ADHD (Evans et al., 2001). To demonstrate the effectiveness of the drug, a researcher selects a sample of n = 20 children diagnosed with the disorder and measures each child’s attention span before and after taking the drug. The data show an average increase of attention span of MD= 4.8 with a variance of s2 = 125 for the sample of difference scores. Is this result sufficient to conclude that Ritalin significantly improves attention span? Use a one-tailed test with α = .05.Question

Asked Mar 9, 2020

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- The stimulant Ritalin has been shown to increase attention span and improve academic performance in children with ADHD (Evans et al., 2001). To demonstrate the effectiveness of the drug, a researcher selects a sample of n = 20 children diagnosed with the disorder and measures each child’s attention span before and after taking the drug. The data show an average increase of attention span of MD= 4.8 with a variance of s
^{2 }= 125 for the sample of difference scores. Is this result sufficient to conclude that Ritalin significantly improves attention span? Use a one-tailed test with α = .05.

Step 1

It is given that the difference of means is 4.8 and variance is 125. The sample size is 20. The level of significance is 0.05.

Null hypothesis:

*µ=*0*.*

Alternative hypothesis:

*µ*>0.

This is a right tailed test.

The test statistic value can be obtained as follows:

Step 2

*Computation of P-value:*

The *P*-value of *t*-distribution at 19 degrees of freedom can be obtained using the excel formula** “=T.DIST.RT(1.92,19)**”.

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