Labor force participation among women rose in the United States between 1975 and 2000 and has beeen declining ever since. According to the U.S. Bureau of Labor Statistics, 54% of women were in the...

Labor force participation among women rose in the United States between 1975 and 2000 and has beeen declining ever since. According to the U.S. Bureau of Labor Statistics, 54% of women were in the labor force in 2015.

1. If 50 working age women are randomly selected, what is the probability that between 32.9% and 39.9% are in the labor force? Be sure to use the Empirical Rule and not exact values, and round your z-scores to the nearest whole number. Round your answer to 4 decimal places.
   
   
   
   
   
   
   
   


2. If 190 working age women are randomly selected, what is the probability that between 50.4% and 64.8% are in the labor force? Be sure to use the Empirical Rule and not exact values, and round your z-scores to the nearest whole number. Round your answer to 4 decimal places.
   
   
   
   
   
   
   
   


3. What happens to the standard error as the sample size increases?