1. In his 1868 work, Carl Wunderlich concluded that temperatures above 100.4 Fahrenheit should be considered feverish. In a 1992 study, Maryland researchers suggested that 99.9 Fahrenheit was a more appropriate cutoff. If the oral temperatures of healthy humans are normally distributed with a mean of 98.23 and a standard deviation of 0.67, what fraction of these readings is above 100.4? Above 99.9?

2. The Australian Bureau of Meteorology uses the monthly air-pressure difference between Tahiti and Darwin, Australia, to calculate the Southern Oscillation Index: SOI=10(X –x?)/ ? , where X is the air-pressure difference in the current month, x? is the average value of X for this month, and ? is the standard deviation of X for this month. Negative values of the SOI indicate an El Nino episode, which is usually accompanied by less than usual rainfall over eastern and northern Australia; positive values of the SOI indicate a La Nina episode, which is usually accompanied by more than usual rainfall over eastern and northern Australia. Suppose that X is normally distributed with a mean x? of and a standard deviation of ? . Explain why you believe that the probability of SOI reading as low as22.8, which occurred in 1994, is closer to 1.1 * 10 ^-15 , 0.011, or 0.110.

Answer rating: 100% (QA)

1 Mean x 9828 Standard deviation 067 X 1 1004 X 2 999 ... View the full answer