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Unit 4, Topic 19, Exercise 19-08

Body Temperatures

The body temperatures (in degrees Fahrenheit) have been recorded for a sample of  healthy adults (Shoemaker, 1996). The sample mean body temperature for males is , and the sample standard deviation for males is . The sample mean body temperature for females is , and the sample standard deviation for females is .
 
 
a. Produce a  confidence interval for the population mean body temperature of a healthy male. Then do the same for the population of healthy females.

Round your answers to three decimal places.

For males:

 
 
 
c. Comment on how the intervals compare to each other, addressing whether or not they suggest that men and women have different mean body temperatures.


 
 
 
d. Report the half-width of these two intervals. Which is wider? What aspect of the data causes the interval to be wider?

Half-width for males: 

Half-width for females: 

The confidence interval for the  is wider. This is because the sample standard deviation is slightly .
 
 
e. Compare the half-width of these intervals to the half-width of the interval based on the entire sample, . Explain why these two intervals are wider than that one.


 
 
 
f. Investigate and comment on whether or not the technical conditions required for the validity of this procedure appear to be satisfied for each gender.


 
 
 

 

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