y

.

.

.

y

where y

The default level of confidence for the distribution free CI is 95%, this can be changed by inputing a value in the 'Confidence Level' field below. A value between 0 and 100 must be entered or the form will not be submitted.

For testing, the default null value of θ is 0, this can be changed by inputing a value in the 'Null Value' field below. The default alternative hypothesis is two-sided alternative, this can be changed by selecting a different alternative in the 'Alternative Hypothesis' option below.

Example input data set:

36

31

30

27

20

33

72

18

19

28

There are ten observations in the data set and we are interested in testing θ = 22, so this value needs to go into the 'Null Value' field.