Question

An 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 a certain airport. The ratings obtained from the sample of 50 business travelers follow.

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

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

Answer 1

Solution Given that Mean :00 from the given data - (1) Sample mean = 6.22 (4) Standard deviation , -:2:1935 (w) :: standard Error ila - standard errora D.3097 Buy Df inni = 50-1 ) Df:49 (o) for upper limit and lower limit values- for 24- Given 95.7. confidence Tutewal 2:1-0.95 x=0.05 = 42 -0.0250 from the Z-value tabe 251.96 3) a I 742 l m .) 6.22 1.96 (0.3097) =) (6.8270 , 5.6130) Hence, the 95% confidence Intewal is = 5.61 to 6.82 -