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3. Suppose we observe temperatures in several cities at noon on a particular day. The mean...

3. Suppose we observe temperatures in several cities at noon on a particular day. The mean observed temperature is 20 degrees Centigrade; the standard deviation is 5 degrees.

a) Degrees Fahrenheit are related to degrees Centigrade according to the formula (F = 32+1.8C). Suppose we were to convert the observed temperatures to degrees Fahrenheit. What would the mean temperature be in degrees Fahrenheit? What would the standard deviation be?

b) Temperatures can be expressed in standard units. Suppose the temperature in a particular city, expressed in standard units, was -1. What was the temperature in that city in degrees Centigrade?

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