Question 1 (10 points)
Is normal body temperature the same for men and women?
Medical researchers interested in this question collected data
from a large number of men and women. Random samples
from that data are recorded in the table below.
Body Temperature (°F)
Female
97.8
98.0
98,2
98,2
98.6
98.8
98.8
99.2
99.4
Male
96.9
97.4
97.8
97.8
97.9
98.0
98.1
98.6
98.8
Two random samples of body temperatures.
[Source: Journal of Statistics Education Data
Archive, www.amstat.org, April 15, 2002.]
a) Use a 95% confidence interval to estimate the mean
body temperature of men.
b) Use a 95% confidence interval to estimate the mean
body temperature of women.
c) Find the margin of error for the men and for the
women.
d) Which margin of error is larger? Why is it larger?