Question: The Paper "Caffeine Knowledge, Attitudes, and Consumption in Adult Women" (J of Nutrition Educ. (1992):pp.179--184) reported the following summary data on daily caffeine consumption for a sample of forty-nine adult women.

n = 49, \[\overline{X}\] =215 mg, s = 235 mg, range : 5 to 1176

1. Does it appear plausible that the population distribution of daily caffeine consumption is normal? Explain
2. Is it necessary to assume a normal population distribution to estimate the value of the population mean consumption ? Explain.
3. Suppose it had previously been believed that mean consumption  was at most 180 mg. Does the given data contradict this prior belief? Explain.

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