In: Statistics and Probability
A survey in the N.Y. Times Almanac finds the mean commute time (one way) is 25.4 minutes for the 15 largest US cities. The chamber of commerce in a city feels that their commute time is less and wants to publicize this fact. The mean for 25 randomly selected commuters is 21.1 minutes with a standard deviation of 5.3 minutes. At the α = 0.10 level, is the city's commute significantly less than the mean commute time for the 15 largest US cities? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) A.) State the p-value. (Round your answer to four decimal places.) B.) State alpha. (Enter an exact number as an integer, fraction, or decimal.)
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