Suppose a random sample of 49 middle school students have spent in an average of 3 hours to engage in the extra curricular activities per day with a standard deviation of 0.5 hours per day. Construct a 99% confidence interval, µ, the average time spent by all the middle school students to engage in the extra curricular activities per day. [Remember: Please show graph and mark the area you have to find out in the graph. In addition, you should also show the formula to find the area.]

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