Did I Get This?

In a recent study 1,115 males 25 to 35 years of age were randomly chosen and asked about their exercise habits. Based on the study results, the researchers estimated the mean time that a male 25 to 35 years of age spends exercising with 90%, 95%, and 99% confidence intervals. These were (not necessarily in the same order):

 

Three number lines illustrating three confidence intervals. The first is shows an interval of (3,4). The second, an interval of (2.5, 4.5), and the third, (2,5).
For which of the three intervals do you have the most confidence that it captures the mean μ\displaystyle \mu \displaystyle



 
The confidence interval in which you have the most confidence that it captures the population mean μ\displaystyle \mu must be:




Which of the three confidence intervals provides the most precise estimation?



 
The confidence interval that provides the most precise estimation, must be:

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