(Solution) - The U S Bureau of Labor Statistics released hourly wage figures -(2025 Original AI-Free Solution)

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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 40 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 35 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 $22.75?