The U.S. Bureau of Labor Statistics released hourly wage figures
for various countries for workers in the manufacturing sector. The
hourly wage was $30.67 for Switzerland, $20.20 for Japan, and
$23.82 for the U.S. Assume that in all three countries, the
standard deviation of hourly labor rates is $3.00.
a. Suppose 42 manufacturing workers are selected
randomly from across Switzerland and asked what their hourly wage
is. What is the probability that the sample average will be between
$30.00 and $31.00?
b. Suppose 37 manufacturing workers are selected
randomly from across Japan. What is the probability that the sample
average will exceed $21.00?
c. Suppose 48 manufacturing workers are selected
randomly from across the United States. What is the probability
that the sample average will be less than $22.85?
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