Question

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 36 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 $22.80?

Answer 1

Answer:

Given that:

The U.S Bureau of labor statistics released hourly wage figures for various countries for workers in the manufacturing sector.

a).Switzerland:

= 30.67, s = 3, n = 36

= p(-1.34 < z < 0.66)

=p(z<0.66) -p(z<1.34)

= 0.7454 - 0.9099

= -0.1645 [p - value from z-table]

b) Japan:

=20.20, s = 3, n = 37

= 1-p(z < 1.63)

=1 - 0.9484

= 0.0516

c) U.S :

=23.82, s = 3, n = 48

= p(z < -2.46)

= 1-0.9931

= 0.0069