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. 3 7 8 9 10 10 10 9 9 9 9 8 5 6 7 7 9 8 10 9 8 7 6 8 7 9 5 3 9 10 10 9 9 8 9 8 6 10 8 4 7 3 10 8 9 8 10 10 8 8 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

Explanation / Answer

Solution : Given data 3 7 8 9 10 10 10 9 9 9 9 8 5 6 7 7 9 8 10 9 8 7 6 8 7 9 5 3 9 10 10 9 9 8 9 8 6 10 8 4 7 3 10 8 9 8 10 10 8 8

=> n = 50

=> mean x = sum of the terms/number of the terms = 396/50 = 7.92

=> standard deviation ? = 1.9149

For 95% confidence interval , Z = 1.96

=> The 95% confidence interval for the population mean is x +/- Z*?/sqrt(n)

=> 7.92 +/- 1.96*1.9149/sqrt(50)

=> (7.39 , 8.45) rounded

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.