Effects of Units of Measurement A confidence interval is constructed for a small simple random sample of temperatures (in degrees Fahrenheit) selected from a normally distributed population for which s is unknown.

a. How is the margin of error E affected if each temperature is converted to the Celsius scale?

b. If the confidence interval limits are denoted by a and

b, find expressions for the confidence interval limits after the original temperatures have been converted to the Celsius scale.

c. Based on the results from part (b), can confidence interval limits for the Celsius temperatures be found by simply converting the confidence interval limits from the Fahrenheit scale to the Celsius scale?