541 The study cited in Exercises 5.3.1 and 5.3.2 gives the following data on serum cholesterol levels in U.S. females: Population Age Mean Standard Deviation A 20-29 183 37.2 B 30-39 189 34.7 Use these estimates as the mean µ and standard deviation o for the respective U.S. popula- tions. Suppose that we select a simple random sample of size 50 independently from each population. What is the probability that the difference between sample means Xg -XA will be more than 8? 5.4.2 Given two normally distributed populations with equal means and variances of o = 240 and o, = 350, what is the probability that samples of size n, = 40 and n, = 35 will yield a value of x - X2 as large as or larger than 12? %3D 5.4.3 For a population of 17-year-old boys and 17-year-old girls, the means and standard devia- tions, respectively, of their subscapular skinfold thickness values are as follows: boys, 9.7 and 6.0; girls, 15.6 and 9.5. Simple random samples of 40 boys and 35 girls are selected from the populations. What is the probability that the difference between sample means (9oys Xgirls will be greater than 10?

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please help with 5.4.3

541 The study cited in Exercises 5.3.1 and 5.3.2 gives the following data on serum cholesterol
levels in U.S. females:
Population
Age
Mean
Standard Deviation
A
20-29
183
37.2
B
30-39
189
34.7
Use these estimates as the mean µ and standard deviation o for the respective U.S. popula-
tions. Suppose that we select a simple random sample of size 50 independently from each
population. What is the probability that the difference between sample means Xg -XA will
be more than 8?
5.4.2 Given two normally distributed populations with equal means and variances of o = 240
and o, = 350, what is the probability that samples of size n, = 40 and n, = 35 will yield
a value of x - X2 as large as or larger than 12?
%3D
5.4.3 For a population of 17-year-old boys and 17-year-old girls, the means and standard devia-
tions, respectively, of their subscapular skinfold thickness values are as follows: boys, 9.7
and 6.0; girls, 15.6 and 9.5. Simple random samples of 40 boys and 35 girls are selected
from the populations. What is the probability that the difference between sample means
(9oys
Xgirls
will be greater than 10?
Transcribed Image Text:541 The study cited in Exercises 5.3.1 and 5.3.2 gives the following data on serum cholesterol levels in U.S. females: Population Age Mean Standard Deviation A 20-29 183 37.2 B 30-39 189 34.7 Use these estimates as the mean µ and standard deviation o for the respective U.S. popula- tions. Suppose that we select a simple random sample of size 50 independently from each population. What is the probability that the difference between sample means Xg -XA will be more than 8? 5.4.2 Given two normally distributed populations with equal means and variances of o = 240 and o, = 350, what is the probability that samples of size n, = 40 and n, = 35 will yield a value of x - X2 as large as or larger than 12? %3D 5.4.3 For a population of 17-year-old boys and 17-year-old girls, the means and standard devia- tions, respectively, of their subscapular skinfold thickness values are as follows: boys, 9.7 and 6.0; girls, 15.6 and 9.5. Simple random samples of 40 boys and 35 girls are selected from the populations. What is the probability that the difference between sample means (9oys Xgirls will be greater than 10?
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