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 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 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 a confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.
Solution: Since the confidence level is not given, we can assume it to be 95%. The 95% confidence interval estimate for the population mean rating for Miami is given below:
Where:
is the sample mean
is the sample
standard deviation
is the critical value at 0.05 significance level for
Therefore, the 95% confidence interval is:
Therefore, the 95% confidence interval estimate of the
population mean rating for Miami
is
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