Final answer:
The statement that reliability sets an upper limit on validity is true. While every valid measure must also be reliable, the reverse isn't necessarily the case as consistent measures may still be inaccurate.
Step-by-step explanation:
The statement that the reliability of a measure puts an upper limit on the possible validity of that measure is True. Reliability refers to the consistency of a measure. For instance, if a kitchen scale consistently produces the same reading for the same amount of cereal, it is considered reliable. However, if this scale is not properly calibrated, it might not measure the cereal's weight accurately, highlighting a lack of validity. Validity, on the other hand, refers to how accurately a measure reflects the concept it is intended to quantify. While any valid measure must be reliable, a reliable measure may not be valid if it does not accurately measure what it's supposed to. In this sense, reliability sets a ceiling for validity; without reliability, validity cannot be achieved, but reliability alone does not ensure validity.