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In May 2013 the New York Post published an article about a scheme by wealthy Manhattan mothers to avoid long wait times at Disney World. Although the wait times can be long and the Disney VIP service is expensive, the plot to cut in line has been difficult to prove. A random sample of wait times (in minutes) for the Magic Kingdom, Epcot, and Animal Kingdom was obtained.23 Assume each underlying distribution of wait times is normal.
a. Find a 95% confidence interval for the true mean wait time for each park.
b. Is there any evidence that any of the parks have different true mean wait times? Justify your answer.
Formulate the null hypothesis and the alternative hypothesis.
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