Question

# The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports....

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 3 7 8 9 10 10 10 9 9 9 9 8 5 6 7 7 9 8 10 9 8 7 6 8 7 9 5 3 9 10 10 9 9 8 9 8 6 10 8 4 7 3 10 8 9 8 10 10 8 8 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

Sample size = n = 50

Sample mean = = 7.92

Standard deviation = s = 1.9149

We have to construct 95% confidence interval.

Formula is

Here E is a margin of error.

Degrees of freedom = n - 1 = 50 - 1 = 49

Level of significance = 0.05

tc = 2.010 ( Using t table)

So confidence interval is ( 7.92 - 0.544216 , 7.92 + 0.544216) = > ( 7.38 , 8.46)