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. Appendix A Statistical Tables 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 34 manufacturing workers are selected randomly from across Japan. What is the probability that the sample average will exceed $21.00? c. Suppose 49 manufacturing workers are selected randomly from across the United States. What is the probability that the sample average will be less than $22.85?

Answer 1

Averages for Switzerland is $30.67

For Japan is $20.20

For U.S. $23.82

And,

SD is $3.00

a)

For n = 38

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?

....................Using standard Normal table

b)

For n = 34

Suppose 34 manufacturing workers are selected randomly from across Japan. What is the probability that the sample average will exceed $21.00?

    ....................Using standard Normal table

C)

For n = 49

Suppose 49 manufacturing workers are selected randomly from across the United States. What is the probability that the sample average will be less than $22.85?

   ....................Using standard Normal table