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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 130 healthy adults (Shoemaker, 1996). The sample mean body temperature for males is 98.394 Superscript ring operator Baseline Upper F, and the sample standard deviation for males is 0.743 Superscript ring operator Baseline Upper F. The sample mean body temperature for females is 98.105 Superscript ring operator Baseline Upper F, and the sample standard deviation for females is 0.699 Superscript ring operator Baseline Upper F.
 
 
a. Produce a 99.9  % 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:

left-parenthesis

 
 
 
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, left-parenthesis 98.031 comma 98.467 right-parenthesis. 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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