3. An article titled "Ten Boys Forget Whatever it Was" appeared in the Australian newspaper The
Mercury. It describes a study of academic performance and attention span, and reports that the mean
time to distraction for teenage boys working on an independent task. A random sample of 50 teenage
boys had a mean of 8 minutes with a standard deviation of 1 .4 minutes.
a. Construct a 95 % confidence interval for the mean time to distraction for teenage boys.
Remember to use the 4-step process for calculating confidence intervals.
b.
Explain what could be done to reduce the confidence interval. Give an example and show the
mathematics to support your claim.
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