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A random sample of 130 human body temperatures, provided by Allen Shoemaker in the Journal of Statistical Education, has a mean of 36.81 Celsius and standard deviation of 0.73degrees.

(a) Construct a 99% confidence interval for the average body temperature of healthy people.

(b) Does the confidence interval constructed in part (a) contain the value 37 Celsius? If not, what conclusions can draw?

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