The body mass indices of 40 men and 40 women
are given in the tables to the right.
(a) Construct a 99% confidence interval
estimate of the mean body mass index
for men.
(b) Construct a 99% confidence interval
estimate of the mean body mass index
for women.
(c) Compare and interpret the results. We
know that men have a mean weight that
is higher than the mean weight for
women, and the mean height of men is
greater than the mean height of women,
but do men also have a mean body mass
index that is greater than the mean body
mass index of women?
Male
BMI
23.8 19.9
23.2 27.1
24.6 23.4
26.2 27.0
23.5 21.6
24.5 30.9
21.5 28.3
31.4 25.5
26.4 24.6
22.7 23.8
27.8 27.4
28.1 28.7
25.2 26.2
23.3 26.4
31.9 32.1
33.1 19.6
33.2 20.7
26.7 26.3
26.6 26.9
24.2 25.6

Female
BMI
19.6 23.8
23.8 44.9
19.6 19.2
29.1 28.7
25.2 28.5
21.4 19.3
22.0 31.0
27.5 25.1
33.5 22.8
20.6 30.9
29.9 26.5
17.7 21.2
24.0 40.6
28.9 21.9
37.7 26.0
18.3 23.5
19.8 22.8
29.8 20.7
29.7 20.5
31.7 21.9