You are the Director of Business Operations for a start-up airline based in Boston, Massachusetts that services 23 locations along the eastern seaboard. The company began operations 36 days ago and the Director of Operations has provided you the following information:

• Average number of passengers per day: 2,353
• Sample Standard Deviation: 192

The CEO is considering a deal with Boeing to increase the company's fleet size and needs your input for a conversation that will take place in 30 minutes.

1. The CEO needs a prediction of future passenger levels before deciding on a deal with Boeing. The most expeditious response would be a point estimate. Based on the given information, what is the point estimate (prediction) for average passenger levels in the future?
2. Based on the given information, is a confidence interval a reasonable statistical approach? Why or why not?
3. Compute a 95% confidence interval for the mean passenger level based on the given data.

level of confidence Zc

80% 1.28

90% 1.645

95% 1.96

98% 2.33

99% 2.575

( Textbook -- Evans, J. (2020). Business analytics (3rd ed.). Pearson. )