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Travel and Transportation
During a routine commercial airline flight, much of the time in the aircraft is spent waiting to take off and taxiing to an arrival gate. However, airlines also keep careful records of the actual air time of each flight. A random sample of the air times (in minutes) of US Airways flights from Philadelphia to Las Vegas during December 2012 was obtained, and the data are given in the following table.
The air time for this flight is affected by the prevailing west-toeast winds and weather systems and normally takes 303 minutes. Is there any evidence to suggest the true mean air time is greater than this 303 minutes? Assume the underlying distribution is normal and use a = 0.025.
In our discussions of basic probability theory the concepts of mutually exclusive events and independent events share prominent roles. Please explain these concepts and in particular address the question
The number of customers that order espresso drinks is 6 per hour and the number of customers that order drip coffee is 18 per hour. What is the utilization of the Starbucks coffee employee?
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The rate of defects among CD players of a certain brand is 1.1%. Use the Poisson approximation to the binomial distribution to find the probability that among 240 such CD players received by a store, there is at most one defective CD player.
Suppose that your sample mean is 1175 and that your sample standard deviation is 100. Using α=0.05, what is the appropriate conclusion you should draw from your sample?
Find a data set that maximizes the value of the standard deviation.- Find a data set that minimizes the value of the standard deviation.
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