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A transportation commission studies driving times between two cities to determine whether the construction of a new highway reduced commute times. Times for 40 cars driving on the old highway and times for 50 cars driving on the new highway are obtained. A summary of the data obtained from the study is given below.
Highway Mean commute times Population standard deviation
1 (Old) 5.35 0.5
2(New) 4.95 0.8
1) What is the standard error? (#.###)
2) What is the z-score? (#.###)
3) What is the p -value? (#.######)
4) Should the null hypothesis that the mean commute time for the old highway is equal to the mean commute time for the new highway be rejected at the α=0.05 significance level using the output below? Yes or no?
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