Consider a questionnaire which measures an index of risk-taking behavior. The qu

Question

Consider a questionnaire which measures an index of risk-taking behavior. The questionnaire is applied to a sample of teenage boys and girls at a counseling center. Confidence intervals for both the boys and girls are displayed in the StatCrunch output

One sample T confidence interval:

Group by: Boy/ Girl

u: Mean of Risk-taking Behavior

95% confidence interval results:

Using these data. can one conclude that the averages in risk-taking behavior are different for teenage boys and girls?

i) Yes   

ii) No

Why or why not___________________________________________

Boy/Girl Sample Mean Std. Err. DF L. Limit U. Limit Boy 107.6 4.860727 9 96.604272 118.59573 Girl 93.3 4.6976353 9 82.673211 103.92679

Explanation / Answer

The answer is no.

Reason: The 95% confidence intervals for boys and girls overlaps. Since these intervals are having values that are common and can be possible values for both boys and girls, we can not conclude that the averages in risk-taking behavior are different for teenage boys and girls

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