# One way confidence interval

#### leonedelman

##### New Member
Suppose I am estimating a parameter that ranges from 0 to 5. Now, suppose I obtain an estimate of 5. How do I report a confidence interval for this? An upper bound above 5 would simply not make sense. I believe this is a one-tailed test but how do I report this? Would it be (lower bound, 5)? Thanks so much!

#### j58

##### Active Member
How did you "obtain an estimate of 5"? Do you mean all the observations were 5, hence their mean was 5? If so, you have no way to estimate variability from the data, and hence no way to obtain a frequentist confidence interval.

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