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.

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

Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

( _____ , _____ )

the necessary calculation table:-

 ratings(xi) 4 16 7 49 6 36 5 25 8 64 8 64 4 16 8 64 9 81 8 64 8 64 4 16 10 100 10 100 1 1 1 1 1 1 9 81 1 1 9 81 1 1 1 1 8 64 8 64 1 1 8 64 8 64 9 81 8 64 7 49 7 49 1 1 8 64 8 64 10 100 1 1 8 64 7 49 9 81 7 49 8 64 9 81 7 49 7 49 7 49 8 64 1 1 6 36 10 100 7 49 sum=316 sum=2442

sample size (n) =50

degrees of freedom = (n-1) = (50-1) = 49

t critical value for 95% confidence level be:-

[ using t distribution table for df = 49,alpha=0.05,both tailed test]

the 95% confidence interval estimate of the population mean rating for Miami be:-

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