choose two different confidence intervals for your responses. Do you think the agents would prefer a different confidence interval than their management? What advantages and disadvantages would there be in having different confidence intervals for the agents? Explain your thought process and reasoning in your response.

I am 95% confident the true mean listing price of homes in the Northeast is between $302,250 and $317,750, based on a sample mean of $310,000.

The sample size that would provide the sales agents with the best understanding of Northeast home prices at the lowest cost for service to B&K would be the Silver Package, with a sample size of 1,000 listings and a margin of error of $7,750. This option provides a reasonable margin of error at a moderate cost. While the Bronze Package is cheaper, the margin of error is almost $25,000, which will not provide useful and reliable information, and the Gold Package has a very small margin of error it would require an excessive cost out of pocket. The margin of error tells you how close your results are to the population. (Frost, 2023) Therefore, the Silver Package offers a useful and reliable estimate of the average listing prices without costing an excessive amount. It is the best balance between cost and usefulness in my opinion.