Question

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 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 business travelers follow.

1 5 6 7 8 8 8 9 9 9 9 10 3 4 5 5 7 6 8 9 10 5 4 6 5 7 3 1 9 8 8 9 9 10 7 6 4 8 10 2 5 1 8 6 9 6 8 8 10 10

Develop a confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

Answer 1

Solution: We have to first find the mean and standard deviation of the given data. The mean and standard deviation is:

T = 6.76, s = 2.5520

Please note there is no mention of confidence level in the question. So here we use the default confidence level 95%.

The 95% confidence interval is:

( )

2.5520 6.76 2.010 V50

6.76±0.73

(6.76 -0.73.6.76+0.73)

(6.03.7.49)