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Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes. Public Transportation: 28 29 32 37 33 25 29 32 41 34 Automobile: 29 31 33 32 34 30 31 32 35 33
a. Compute the sample mean time to get to work for each method.
b. Compute the sample standard deviation for each method.
c. On the basis of your results from parts (a) and (b), which method of transportation should be preferred? Explain.
d. Develop a box plot for each method. Does a comparison of the box plots support your conclusion in part (c)?
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This result applies no matter what the shape of the probability distribution from which the samples are taken. Central Limit Theorem: How Large a Sample?
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