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 a = 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.) Part (a) Part (b) State the p-value. (Round your answer to four decimal places.) Part (c) State alpha. (Enter an exact number as an integer, fraction, or decimal.)

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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 a = 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.)
Part (a)
Part (b)
State the p-value. (Round your answer to four decimal places.)
Part (c)
State alpha. (Enter an exact number as an integer, fraction, or decimal.)
Part (d)
Part (e)
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Transcribed Image Text: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 a = 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.) Part (a) Part (b) State the p-value. (Round your answer to four decimal places.) Part (c) State alpha. (Enter an exact number as an integer, fraction, or decimal.) Part (d) Part (e) Viewing Saved Work Revert to Last Response Submit Answer
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