Question: Suppose a human's average body temperature has a Normal distribution with mean 98.0 degrees Fahrenheit and a standard deviation of 0.4 degrees Fahrenheit. You can

Suppose a human's average body temperature has a Normal distribution with mean 98.0 degrees Fahrenheit and a standard deviation of 0.4 degrees Fahrenheit. You can answer questions 1 to 6 based on the "68%-95%-99.7%" rule for the Normal distribution, or you can use a calculator for the Normal distribution (e.g.,https://stattrek.com/online-calculator/normal.aspx for the standard normal distribution). Note, you may need to refresh the calculator if using it multiple times. The two methods may give slightly different values because the "68%-95%-99.7%" rule is an approximate rule.

  1. What percentage of people will have an average body temperature greater than 97.2 degrees Fahrenheit?

  1. What percentage of people will have an average body temperature lower than 98.4 degrees Fahrenheit?

  1. What percentage of people will have an average body temperature between 97.6 and 98.8 degrees Fahrenheit?

  1. If you have an average body temperature of 98.6 degrees Fahrenheit, what is your Z-score for body temperature?

  1. If you have an average body temperature of 98.6 degrees Fahrenheit, what is your percentile for body temperature? If you are using the "68-95-99.7" rule, give your answer as two percentiles (i.e., 98.6 degrees Fahrenheit is between 2 percentiles using the "68-95-99.7" rule).

  1. If you used a fever symptom of a body temperature greater than 99.0 degrees Fahrenheit to restrict people from flying, what percentage of people without a fever would be unnecessarily prevented from flying? If you are using the "68-95-99.7" rule, give your answer as two percentiles.

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