According to the Bureau of Labor Statistics it takes an average of 16 weeks for young workers to find a new job.Assume that the probability distribution is normal and that the standard deviation is two weeks.What is the probability that 20 young workers average less than 15 weeks to find a job?A.0.0125
A) 0.0225
B) 0.0450
C) 0.0375

Question

Quizplus · Accepted Answer

To solve this problem, we need to standardize the distribution using the formula z = (x - mu) / sigma, where x is the sample mean, mu is the population mean (16), and sigma is the standard deviation (2 / sqrt(n) since n is not given).

So, z = (15 - 16) / (2 / sqrt(20)) = -2.236.

Using a standard normal distribution table or calculator, we can find the probability that z is less than -2.236, which is 0.0125.

Therefore, the answer is choice A.

According to the Bureau of Labor Statistics It Takes an Average