Math Problem Statement

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 7 6 5 8 8 4 8 9 8 8 4 10 10 1 1 1 9 1 9 1 1 8 8 1 8 8 9 8 7 7 1 8 8 10 1 8 7 9 7 8 9 7 7 7 8 1 6 10 7

Develop a 95% confidence interval estimate of the population mean rating for Miami. round your answers to two decimal places

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Interval
Sampling Distribution

Formulas

Confidence Interval Formula: CI = x̄ ± z * (σ/√n)
Sample Mean Formula: x̄ = (Σx) / n
Sample Standard Deviation Formula: s = √[Σ(x - x̄)² / (n-1)]

Theorems

Central Limit Theorem
Empirical Rule for Normal Distributions

Suitable Grade Level

Undergraduate