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.

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.

( _____ , _____ )

Answer 1

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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