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

Confidence interval for Population mean is given as below:

Confidence interval = Xbar ± t*S/sqrt(n)

From given data, we have

Xbar = 6.76

S = 2.55199002

n = 50

df = n – 1 = 49

Confidence level = 95%

Critical t value = 2.0096

(by using t-table)

Confidence interval = Xbar ± t*S/sqrt(n)

Confidence interval = 6.76 ± 2.0096*2.55199002/sqrt(50)

Confidence interval = 6.76 ± 2.0096*0.36090589

Confidence interval = 6.76 ± 0.7253

Lower limit = 6.76 - 0.7253 = 6.03

Upper limit = 6.76 + 0.7253 = 7.49

Confidence interval = (6.03, 7.49)

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