Assignment:
In the article "Job Mobility and Wage Growth" (Monthly Labor Review, Vol. 128, No. 2, pp 33-39), A. Light examines data on employment and answers questions regarding why workers separate from their employers. According to the article, the standard deviation of the lengths of time that women with one job are employed during the first 8 years of of their career is 92 weeks. Lenght of time employed during the first 8 years of career is a left-skewed variable. For that variable, do the following.
a. Determine the sampling distribution fo the sample mean for simple random samples of 50 women with one job. Explain your reasoning.
b. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks.
Provide complete and step by step solution for the question and show calculations and use formulas.