The International Air Transport Association surveys business travelers to develo

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 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.

Click on the datafile logo to reference the data.

Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places.
_____to______

6 4 6 8 7 7 6 3 3 8 10 4 8 7 8 7 5 9 5 8 4 3 8 5 5 4 4 4 8 4 5 6 2 5 9 9 8 4 8 9 9 5 9 7 8 3 10 8 9 6 DATA file

Explanation / Answer

From the given data we have

standard error = std. dev. / sqrt(n) = 2.14/sqrt(50) = 0.3028

For 95% confidence limit, z-score value is +/-1.96

Lower limit = mean - z*SE = 6.34 - 1.96*0.3028 = 5.7465

Upper limit = mean + z*SE = 6.34 + 1.96*0.3028 = 6.9335

mean 6.34 std. dev. 2.141121 n 50

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