In: Statistics and Probability
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 38 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 38 manufacturing workers are selected
randomly from across Japan. What is the probability that the sample
average will exceed $21.00?
c. Suppose 50 manufacturing workers are selected
randomly from across the United States. What is the probability
that the sample average will be less than $23.00?