Question 1179107
Use a paired t-test and the differences between x2 and x1
old way=x1
new way=x2
if experiment works, x2 will be <  x1 units minutes
so Ho: x2 > =x1 It took longer to do or was the same
Ha: x2 < x1 It didn't take longer to do
or x2-x1 is < =0
alpha=0.05 p{reject Ho|Ho true}
test is a paired t df=6,0.95, 1 way
critical value is t=-1.943
look at differences, which are -7,-13,+2,-8,-6,0,+1
=-31
x bar=-4.43
s=5.56
t=-4.43/5.56/sqrt(7)
=-4.43*sqrt(7)/5.56=--2.107
reject Ho, since -2.107< -1.943, p-value =0.04
It is a slightly close decision 
But conclusion is to reject Ho. Alpha and 1 or 2 way tests must be set up in advance and not added in later to manipulate the answer in a specific direction.