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.
6 4 6 8 7 7 6 3 3 8
10 4 8 7 8 7 5 9 5 8
4 3 8 5 5 4 4 4 8 4
5 6 2 5 9 9 8 4 8 9
9 5 9 7 8 3 10 8 9 6
a. Compute the sample standard deviation. Please provide the formula, at least one step of calculation, and the correct answer for full credit. (6 points)
b. Develop a 95% confidence interval estimate of the population mean rating for Miami. Please provide the formula, the correct t value, the correct margin of error, at least one step of calculation, and the correct interval for full credit. (12 points)