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.

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

Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.

Answer 1

We have for given data,          
          
Sample mean =   6.34  
Sample standard deviation =2.1629
Sample size =50  
Level of significance=1-0.95=0.05  
Degree of freedom =49  
          
t critical value is (by using t table)=   2.01  
          
Confidence interval formula is           


=(5.7252,6.9548)      
          
          
Lower confidence limit=   5.73  
          
Upper confidence limit=   6.95