## Suppose that, on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electri Question Suppose that, on average, electricians earn approximately μ=$54,000 per year in the united states. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is σ= $12,000. What is the probability that the sample mean is greater than$66,000?

in progress 0
3 weeks 2021-09-26T19:01:04+00:00 1 Answer 0

We have been given that on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is σ=$12,000. We are asked to find the probability that the sample mean is greater than $66,000. First of all, we will find the z-score corresponding to 66,000 using z-score formula.    Now, we need to find the probability that z-score is greater than 1 that is . Upon using formula , we will get: Upon using normal distribution table, we will get:  Therefore, the probability that the sample mean is greater than$66,000 would be 0.15866 or approximately .