A researcher is examining the impact of exposure to traumatic events on recovery

Question

A researcher is examining the impact of exposure to traumatic events on recovery in people with a history of opioid addiction. The following are lifetime trauma exposure scores measured in 10 individuals who are are in recovery from opioid dependence. Trauma scores are based on a validated scale, and range from 0 to 10. Generate a 95% confidence interval estimate of the true trauma score.

9, 7, 9, 3, 7, 9, 10, 6, 7, 3.

As a follow-up to the earlier opioid and trauma study, the researcher collects data about the impact of exposure to trauma on whether people in recovery from alcohol abuse have elevated levels of trauma, relative to people in recovery from opioid addiction. Using the following data for the alcohol-history sample, generate a 95% CI to answer the question: Do these two groups have significantly different trauma history?

5, 2, 7, 1, 1, 8, 4, 3, 0, 4.

Explanation / Answer

for first sample :

for (n-1=9 degree of freedom and 95% CI ; t=2.262

therefore 95% confidence interval =sample mean -/+ t*Std error =5.2477 ; 8.7523

for second sample :

for (n-1=9 degree of freedom and 95% CI ; t=2.262

therefore 95% confidence interval =sample mean -/+ t*Std error =1.6149 ; 5.3851

as both interval vales does overlap ; therefore we can not conclude that two groups have significantly different trauma history

X 9 7 9 3 7 9 10 6 7 3 mean(X) 7.0000 std deviation(S) 2.4495 std error =S/(n)1/2 0.7746

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