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.
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.
for above data:
from excel function average(array): mean =6.76
from function stdev(array) =2.552
sample mean 'x̄= | 6.760 |
sample size n= | 50.00 |
sample std deviation s= | 2.552 |
std error 'sx=s/√n=2.552/√50 = | 0.3609 |
for 95% CI; and 49 df, value of t= | 2.010 | |
margin of error E=t*std error = | 0.725 | |
lower bound=sample mean-E = | 6.035 | |
Upper bound=sample mean+E = | 7.485 | |
from above 95% confidence interval for population mean =(6.03,7.49) |
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