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.
- What percentage of people will have an average body temperature greater than 97.2 degrees Fahrenheit?
- What percentage of people will have an average body temperature lower than 98.4 degrees Fahrenheit?
- What percentage of people will have an average body temperature between 97.6 and 98.8 degrees Fahrenheit?
- If you have an average body temperature of 98.6 degrees Fahrenheit, what is your Z-score for body temperature?
- 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).
- 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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