Question

A study on commute times was done at a manufacturing company, 15 employees listed their commute time to work in the morning as follow (measured in minutes): 27, 31, 36, 43, 49, 50, 52, 52, 53, 55, 55, 56, 57, 62, 65 Can this information be used to show that the median commute time is greater than 45 minutes with α=0.05?

Answer 1

A	B	difference=sample1-sample 2
27	45	-18
31	45	-14
36	45	-9
43	45	-2
49	45	4
50	45	5
52	45	7
52	45	7
53	45	8
55	45	10
55	45	10
56	45	11
57	45	12
62	45	17
65	45	20

number of non zero difference , n =    15
#+ve ranks = 11

# -ve ranks = 4

test stat = min (11, 4) = 4

p value= 0.0592

p value >α, test is not significant

There is no enough evidence to conclude that median commute time is greater than 45 minutes with α=0.05