Question

Suppose that the length of unemployment for laid off workers is normally distributed with an unknown mean and standard deviation. A random sample of 33 unemployed workers is taken and gives a sample mean of 90 days before securing a new job and a sample standard deviation of 10 days. What is the estimated mean length of unemployment for all laid off workers?

1) 85 days
2) 90 days
3) 95 days
4) 100 days

Answer 1

The estimated mean length of unemployment for all laid off workers is (2) 90 days, which is the sample mean obtained from a random sample of 33 unemployed workers.

Step-by-step explanation:

The student asked what the estimated mean length of unemployment for all laid off workers is, given a sample of 33 unemployed workers with a sample mean of 90 days and a sample standard deviation of 10 days. Since the question provides a sample mean, this is the best unbiased estimate we have for the population mean.

Therefore, the estimated mean length of unemployment for all laid off workers would be equal to the sample mean, which is 90 days.