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 $4.00. Appendix A Statistical Tables
a. Suppose 43 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 33 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 $22.95?
Switzerland | ||
Japan | ||
United States |
From Z-table to find the probability or use excel formula " NORM.S.DIST(0.54, TRUE) " & " NORM.S.DIST(-1.10, TRUE) " to find the probability.
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From Z-table to find the probability or use excel formula " NORM.S.DIST(1.15, TRUE) " to find the probability.
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From Z-table to find the probability or use excel formula " NORM.S.DIST(-1.54, TRUE) " to find the probability.