7. A statistics teacher thinks that he can get from his home to his office just as quickly to bicycle as by car. To find out whether this can be true, he conducts a randomized experiment in which he ends up driving to work 10 times and bicycling to work 8 times. It turns out that his mean time by car is equal to 10min 30sec with a sample standard deviation of 2min 40sec and his mean time by bike is equal to 12min 10sec with a standard deviation of 1min 30sec. What is the P-value of the test of the hypothesis that claims that he gets to work equally fast by either means of transportation against the alternative that states that that he gets there faster if he drives?
Added by Mark C.
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The null hypothesis (H0) is that there is no significant difference in the travel time between driving and bicycling to work, i.e., the mean time is the same for both modes of transportation. The alternative hypothesis (H1) is that the mean time is significantly Show more…
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