Question

Your friend believes that he has found a route to work that would make your commute faster than what it currently is, under similar conditions. To test this claim, you and your friend time the commute from your house to the building where you work over a random set of days, and you flip a coin each day to determine who takes which route. Each trip is done at the exact same time of day. Find the test statistic and degrees of freedom for an appropriate hypothesis test using the data set below. Let the difference d for each day be computed as d=new route time−current route time. Assume that the times are normally distributed. Round the test statistic to three decimal places.

Current Route Time (minutes)	New Route Time (minutes)
29.1	27.1
28.1	28.2
30.4	29.3
29.9	28.7
28	27.9
29	28.4
27.5	26.1

t=

df=

Answer 1

from above

t=-3.201

df=6

p value =0.00093