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 37 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 $22.95? (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) a. enter the probability that the sample average will be between $30.00 and $31.00 supposing that 37 manufacturing workers are selected randomly from across Switzerland b. enter the probability that the sample average will exceed $21.00 supposing that 35 manufacturing workers are selected randomly from across Japan c. enter the probability that the sample average will be less than $22.95 supposing that 50 manufacturing workers are selected randomly from across the United States
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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.
a. Suppose 37 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 $22.95?
(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)
a. enter the probability that the sample average will be between $30.00 and $31.00 supposing that 37 manufacturing workers are selected randomly from across Switzerland
b. enter the probability that the sample average will exceed $21.00 supposing that 35 manufacturing workers are selected randomly from across Japan
c. enter the probability that the sample average will be less than $22.95 supposing that 50 manufacturing workers are selected randomly from across the United States
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